PUBLICATION
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Li Q L, Chang Y X, Zhang C. (2022). Tree Representation, Growth Rate of Blockchain and Reward Allocation in Ethereum with Multiple Mining Pools
In this paper, we set up a mathematical representation for the tree with multiple block branches. Then we provide a block classification of Ethereum and give some key probabilities of generating the different types of blocks by applying the law of large numbers. Based on this, we further discuss the growth rate of blockchain, and the reward allocation among the multiple mining pools through applying the renewal reward theorem. Finally, we use some simulation experiments to verify our results.
넶46 2022-05-23 -
Xia, L., Zhang, Z. G., & Li, Q. L. (2022). A c/μ‐Rule for Job Assignment in Heterogeneous Group‐Server Queues
We study a dynamic job assignment problem in queueing systems with one class of Poisson arrivals and K groups of heterogeneous servers. A scheduling policy prescribes the job assignment among servers in each group at every state n (number of jobs in the system). Our goal is to obtain the optimal policy to minimize the long-run average cost, which involves the increasingly convex holding cost for jobs and the operating cost for working servers.
넶29 2022-05-22 -
Li, Q. L., Chen, C., Fan, R. N., Xu, L., & Ma, J. Y. (2022). Queueing analysis of a large-scale bike sharing system through mean-field theory
The bike sharing systems are fast increasing as a public transport mode in urban short trips, and have been developed in many major cities around the world. A major challenge in the study of bike sharing systems is that some large-scale and complex queueing networks have to be applied through multi-dimensional Markov processes, while their discussion always suffers a common difficulty: State space explosion.
넶36 2022-05-22 -
Liu, H. L., Li, Q. L., Chang, Y. X., & Zhang, C. (2022). Double-ended queues with non-Poisson inputs and their effective algorithms
It is interesting and challenging to study double-ended queues with First-Come-First-Match discipline under customers’ impatient behavior and non-Poisson inputs. The system stability can be guaranteed by the customers’ impatient behavior, while the existence of impatient customers makes analysis of such double-ended queues more difficult or even impossible to find an explicitly analytic solution
넶25 2022-05-22 -
Ma, J. Y., Li, Q. L., & Xia, L. (2022). Optimal Asynchronous Dynamic Policies in Energy-Efficient Data Centers
In this paper, we apply a Markov decision process to find the optimal asynchronous dynamic policy of an energy-efficient data center with two server groups. Servers in Group 1 always work, while servers in Group 2 may either work or sleep, and a fast setup process occurs when the server’s states are changed from sleep to work. The servers in Group 1 are faster and cheaper than those of Group 2 so that Group 1 has a higher service priority.
넶27 2022-05-22 -
Li, Q. L., & Fan, R. N. (2022). A mean-field matrix-analytic method for bike sharing systems under Markovian environment
This paper proposes a novel mean-field matrix-analytic method in the study of bike sharing systems, in which a Markovian environment is constructed to express time-inhomogeneity and asymmetry of processes that customers rent and return bikes. To achieve effective computability of this mean-field method, this study provides a unified framework through the following three basic steps.
넶27 2022-05-22
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Akbar, U., Li, Q. L., Akmal, M. A., Shakib, M., & Iqbal, W. (2021). Nexus between agro-ecological efficiency and carbon emission transfer: evidence from China
The economy of China is growing rapidly. With this overwhelming growth, the country is experiencing a higher level of carbon emissions. Amid this backdrop, China is under immense pressure to reduce carbon emissions up to a sustainable level.
넶41 2022-05-22 -
Li, Q., Chang, Y., Wu, X., & Zhang, G. (2021). A new theoretical framework of pyramid markov processes for blockchain selfish mining
In this paper, we provide a new theoretical framework of pyramid Markov processes to solve some open and fundamental problems of blockchain selfish mining under a rigorous mathematical setting. We first describe a more general model of blockchain selfish mining with both a two-block leading competitive criterion and a new economic incentive mechanism. Then we establish a pyramid Markov process and show that it is irreducible
넶13 2022-05-22
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H.L. Liu, Q.L. Li, Y.X. Chang, C. Zhang (2020). Block-Structured Double-Ended Queues and Bilateral QBD Processes.
This paper studies a block-structured double-ended queue, whose block structure comes from two independent Markovian arrival processes (MAPs), while its stability is guaranteed by customers’ impatient behavior. We show that such a queue can be expressed as a new bilateral quasi birth-and-death (QBD) process. For this purpose, we provide a detailed analysis for the bilateral QBD process, including the system stability, the stationary probability vector, the sojourn time, and so forth. Furthermor
넶85 2020-07-29 -
Q.L. Li , C.R. Li, J.Y. Ma (2020). Online social networks under hypergraph structure and their hidden influence evaluation.
This paper sets up a reasonable synthesis among hypergraph structure, probability behavior and
information theory, and applies them to the study of online social networks. This motivates us in this paper to
provide a new mathematical method for analyzing online social networks and their hidden influence. Therefore,
this paper first applies hypergraph theory to set up the information transmission process by means of a hyper-
path between any two users, and describes quantitative relation and flu넶75 2020-07-29 -
Usman A., Q.L. Li, Muhammad A. A., Mohammed S., Wasim L.(2020). Nexus between agro-ecological efficiency and carbon emission transfer: evidence from China
The economy of China is growing rapidly. With this overwhelming growth, the country is experiencing a higher level of carbon emissions. Amid this backdrop, China is under immense pressure to reduce carbon emissions up to a sustainable level. This study adapted 31 provincial panel data from 2007 to 2017 using factor analysis system SBM-undesirable model to calculate the agro-ecological output of each province respectively and used a carbon transfer network impact analysis panel to calculate ecol
넶135 2020-07-29
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F.F. Yang, Y.P. Jiang, Q.L. Li (2019). Mean-field macro computation in large-scale cloud service systems with resource management and job scheduling
Service computing is an emerging and distributed computing mode in cloud service systems, and has become an interesting research direction for both academia and industry. Note that the cloud service systems always display new characteristics, such as stochasticity, large scale, loose coupling, concurrency, non-homogeneity and heterogeneity, thus their load balancing investigation has been more interesting, difficult and challenging until now. By using resource management and job scheduling, thi
넶70 2019-11-15 -
C.G. E, Q.L. Li, S.Y. Li (2019). Cooperative game in parallel service systems with nonexponential service times.
In this paper, we employ a cooperative game to study coalition performance of a parallel service system with nonexponential service times, which is comprised of n independent parallel M/Ek/1 queues, where the service times of the coalitions are designed as a closed-form framework. For such a queueing cooperative game, we use the Erlang service time distributions to make analysis of various coalitions more feasible, and specifically, it is easy to set up a characteristic function for the coaliti
넶59 2019-11-15 -
R.N. Fan, Q.L. Li, X.L. Wu, Z.G. Zhang (2019). Dockless Bike-Sharing Systems with Unusable Bikes: Removing, Repair and Redistribution under Batch Policies.
This paper discusses a large-scale dockless bike-sharing system (DBSS) with unusable bikes, which can be removed, repaired, redistributed and reused under two batch policies: One for removing the unusable bikes from each parking region to a maintenance shop, and the other for redistributing the repaired bikes from the maintenance shop to some suitable parking regions. For such a bike-sharing system, this paper proposes and develops a new computational method by applying the RG-factorizations of
넶75 2019-11-15 -
J.Y. Ma, Q.L. Li and L. Xia (2019). Optimal asynchronous dynamic policies in energy-efficient data centers
In this paper, we use a Markov decision process to find optimal asynchronous policy of an energy-efficient data center with two groups of heterogeneous servers, a finite buffer, and a fast setup process at sleep state. Servers in Group 1 always work. Servers in Group 2 may either work or sleep, and a fast setup process occurs when server's states are changed from sleep to work. In such a data center, an asynchronous dynamic policy is designed as two sub-policies: The setup policy and the sleep
넶41 2019-11-15 -
Q.L. Li, J.Y. Ma, R.N. Fan, L. Xia (2019). An overview for Markov decision processes in queues and networks
Markov decision processes (MDPs) in queues and networks have been an interesting topic in many practical areas since the 1960s. This paper Provides a detailed overview on this topic and tracks the evolution of many basic results. Also, this paper summarizes several interesting directions in the future research. We hope that this overview can shed light to MDPs in queues and networks, and also to their extensive applications in various practical areas.
넶63 2019-11-15 -
Q.L. Li, J.Y. Ma, Y.X. Chang, F.Q. Ma and H.B. Yu (2019). Markov processes in blockchain systems
In this paper, we develop a more general framework of block-structured Markov processes in the queueing study of blockchain systems, which can provide analysis both for the stationary performance measures and for the sojourn times of any transaction and block. Note that an original aim of this paper is to generalize the two-stage batch-service queueing model studied in Li et al. \cite{Li:2018} both ``from exponential to phase-type" service times and ``from Poisson to MAP" transaction arrivals.
넶53 2019-11-15 -
Q.L. Li, Y.M. Li, J.Y. Ma, H.L. Liu (2019). A complete algebraic transformational solution for the optimal dynamic policy in inventory rationing across two demand classes.
In this paper, we apply the sensitivity-based optimization to propose and develop a complete algebraic transformational solution for the optimal dynamic rationing policy in inventory rationing across two demand classes. Our results provide a unified framework to set up a new transformational threshold type structure for the optimal dynamic rationing policy. Based on this, we can provide a complete description that the optimal dynamic rationing policy is either of critical rationing level (i.e.
넶55 2019-07-31 -
Q.L. Li, J.Y. Ma, R.N. Fan, L. Xia (2019). An overview for Markov decision processes in queues and networks.
Markov decision processes (MDPs) in queues and networks have been an interesting topic in many practical areas since the 1960s.
This paper Provides a detailed overview on this topic and tracks the evolution of many basic results. Also, this paper summarizes several interesting directions in the future research. We hope that this overview can shed light to MDPs in queues and networks, and also to their extensive applications in various practical areas.넶45 2019-07-31 -
J.Y. Ma, L. Xia, Q.L. Li (2019). Optimal energy-efficient policies for data centers through sensitivity-based optimization.
In this paper, we propose a novel dynamic decision method by applying the sensitivity-based optimization theory to find the optimal energy-efficient policy of a data center with two groups of heterogeneous servers. Servers in Group 1 always work at high energy consumption, while servers in Group 2 may either work at high energy consumption or sleep at low energy consumption. An energy-efficient control policy determines the switch between work and sleep states of servers in Group 2 in a dynamic
넶51 2019-07-31
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Q.L. Li, Shiyong Li and Wei Sun (2018). Utility maximization for bandwidth allocation in peer-to-peer file-sharing networks
Peer-to-peer (P2P) networks have been commonly applied into many applications such as distributed storage, cloud computing and social networking. In P2P networks fairness fosters an incentive so as to encourage peers to offer resources (e.g, upload bandwidth) to the networks. In this paper, we consider fair bandwidth allocation of access links in P2P file-sharing networks and develop a coupled network-wide utility maximization model which aims at achieving several kinds of fairness among reques
넶48 2018-11-15 -
Q.L. Li, L. Xia, Zhe George Zhang and Peter W. Glynn (2018). A c/μ-rule for service resource allocation in group-server queues
In this paper, we study a dynamic on/off server scheduling problem in a queueing system with multi-class servers, where servers are heterogeneous and can be classified into K groups. Servers in the same group are homogeneous. A scheduling policy determines the number of working servers (servers that are turned on) in each group at every state n (number of customers in the system). Our goal is to find the optimal scheduling policy to minimize the long-run average cost, which consists of an incre
넶64 2018-11-15 -
Q.L. Li, F.Q. Ma and J.Y. Ma (2018). A stochastic model for file lifetime and security in data center networks
Data center networks are an important infrastructure in various applications of modern information technologies. Note that each data center always has a finite lifetime, thus once a data center fails, then it will lose all its storage files and useful information. For this, it is necessary to replicate and copy each important file into other data centers such that this file can increase its lifetime of staying in a data center network. In this paper, we describe a large-scale data center networ
넶66 2018-11-15 -
Q.L. Li, J.Y. Ma and Y.X. Chang (2018). Blockchain queue theory. In: Computational Data and Social Networks
Blockchain has many benefits including decentralization, availability, persistency, consistency, anonymity, auditability and accountability, and it also covers a wide spectrum of applications ranging from cryptocurrency, financial services, reputation system, Internet of Things, sharing economy to public and social services. Not only may blockchain be regarded as a by-product of Bitcoin cryptocurrency systems, but also it is a type of distributed ledger technologies through using a trustworthy,
넶55 2018-11-15
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Q.L. Li, N. Li, N. Kong and Zhibin Jiang (2017). Evaluation of reverse referral partnership in a tiered hospital system – A queuing-based approach. International Journal of Production Research, Vol.
Reverse referral implies referring patients from a comprehensive hospital to a community healthcare centre. In recent years, it has become popular for post-acute care in the tiered Chinese hospital system as it helps achieve more balanced utilisation between facilities at different levels. Nevertheless, it remains unclear how to implement the reverse referral partnership given the likely conflicting interests between the involved hospitals. In this paper, we evaluate a reversal referral partner
넶42 2017-05-03 -
Q.L Li, Cheng-Guo E and S.Y. Li (2017). The interval Shapley value of an M/M/1 service system. International Journal of Applied Mathematics and Computer Science, Vol. 27, No. 3, 549–562.
Service systems and their cooperation are one of the most important and hot topics in management and information sciences. To design a reasonable allocation mechanism of service systems is the key issue in the cooperation of service systems. In this paper, we systematically introduce the interval Shapley value as cost allocation of cooperative interval games arising from cooperation in a multi-server service system, and provide an explicit expression for the interval Shapley value of cooperati
넶51 2017-05-03 -
Q.L. Li, J.Y. Ma, M. Xie and L. Xia (2017). Group-server queues. Lecture Notes in Computer Science, Vol. 10591, Springer, Pages 49–72
By analyzing energy-efficient management of data centers, this paper proposes and develops a class of interesting Group-Server Queues, and establishes two representative group-server queues through loss networks and impatient customers, respectively. Furthermore, such two group-server queues are given model descriptions and necessary interpretation. Also, simple mathematical discussion is provided, and simulations are made to study the expected queue lengths, the expected sojourn times and the
넶38 2017-05-03 -
Q.L. Li, R.N. Fan and Z.Y. Qian (2017). A nonlinear solution to closed queueing networks for bike sharing systems with Markovian arrival processes and under an irreducible path graph
As a favorite urban public transport mode, the bike sharing system is a large-scale and complicated system, and there exists a key requirement that a user and a bike should be matched sufficiently in time. Such matched behavior makes analysis of the bike sharing systems more difficult and challenging. To design a better bike sharing system, it is a key to analyze and compute the probabilities of the problematic (i.e., full or empty) stations. In fact, such a computation is established for some
넶52 2017-05-03 -
Q.L. Li, Z.Y. Qian and R.N. Fan (2017). Fluid and diffusion limits for bike sharing systems. Lecture Notes in Computer Science, Vol. 10591), Pages 217–245.
Bike sharing systems have rapidly developed around the world, and they are served as a promising strategy to improve urban traffic congestion and to decrease polluting gas emissions. So far performance analysis of bike sharing systems always exists many difficulties and challenges under some more general factors. In this paper, a more general large-scale bike sharing system is discussed by means of heavy traffic approximation of multiclass closed queueing networks with nonexponential
factors. B넶42 2017-05-03
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Q.L. Li (2016). Dissipation and loss of resource in big networks: A measure from metastability, holes and clusters.
Dissipation and loss of resource in big networks: A measure from metastability, holes and clusters.
넶65 2016-09-08 -
Q.L. Li (2016). Black holes and white holes are found in big networks.
Black holes and white holes are found in big networks.
넶47 2016-09-08 -
Q.L. Li (2016). Nonlinear Markov processes in big networks. Special Matrices, Vol. 4, 202–217.
Big networks express multiple classes of large-scale networks in many practical areas such as computer networks, internet of things, cloud computation, manufacturing systems, transportation networks, and healthcare systems. This paper analyzes such big networks, and applies the mean-eld theory and the nonlinear Markov processes to constructing a broad class of nonlinear continuous-time block-structured Markov processes, which can be used to deal with many practical stochastic systems. First
넶46 2016-09-08 -
Q.L. Li and J.C.S. Lui (2016). Block-structured supermarket models. Discrete Event Dynamic Systems, Vol. 26, No. 2, 147–182
Supermarket models are a class of parallel queueing networks with an adaptive control scheme that play a key role in the study of resource management of, such as, computer networks, manufacturing systems and transportation networks. When the arrival processes are non-Poisson and the service times are non-exponential, analysis of such a supermarket model is always limited, interesting, and challenging. This paper describes a supermarketmodel with non-Poisson inputs: Markovian Arrival Processe
넶46 2016-09-07 -
Q.L. Li, F.F. Yang and N. Li (2016). Reward processes and performance simulation in supermarket models with different servers. International Journal of Simulation and Process Modelling, Vol. 11, No.
Supermarket models with different servers have become a key in modelling resource management of stochastic networks, such as computer networks, manufacturing systems, transportation networks, and healthcare systems. However, the different servers always make analysis of such a supermarket model more interesting, difficult and challenging. This paper provides a novel method for analysing the supermarket models with different servers through a multi-dimensional continuous-time Markov reward pr
넶39 2016-09-06 -
Q.L. Li, C. Chen, R.N. Fan, L. Xu and J.Y. Ma (2016). Queueing analysis of a large-scale bike sharing system through mean-field theory. arxiv.org: 1603.09560, Pages 1–50
The bike sharing systems are fast increasing as a public transport mode in urban short trips, and have been developed in many major cities around the world. A major challenge in the study of bike sharing systems is that large-scale and complex queueing networks have to be applied through multi-dimensional Markov processes, while their discussion always suffers a common difficulty: State space explosion. For this reason, this paper provides a mean-field computational method to study such a la
넶41 2016-09-05 -
Q.L. Li, R.N. Fan and J.Y. Ma (2016). A unified framework for analyzing closed queueing networks in bike sharing systems. In: Information Technologies and Mathematical Modelling: Queueing Theory and
During the last decade bike sharing systems have emerged as a public transport mode in urban short trips in more than 500 major cities around the world. For the mobility service mode, many challenges from its operations are not well addressed yet, for example, how to develop bike sharing systems to be able to effectively satisfy the fluctuating demands both for bikes and for vacant lockers. To this end, it is key to conduct performance analysis of bike sharing systems. This paper first descr
넶41 2016-09-04 -
N. Li, Q.L. Li, R.N. Fan (2016). A mean-field analysis for the two-tiered healthcare network through nonlinear Markov processes. In: Health Care Systems Engineering for Scientists and Practitioners,
Observing China’s healthcare systems, this paper establishes a two-tiered healthcare network which plays a basic role in analyzing and designing multi-tiered healthcare systems in many cities of China. Note that the two-tiered healthcare network can express the health service delivery between different levels of
넶39 2016-09-03 -
Q.L. Li, R.Y. Su and J. Liu (2016). Financial decision-making for downstream dealers in coal supply chains under some dominant sea ports. Chinese Journal of Management Science, Vol. 24, No. 4, 121–128
As an industry with capital-intensive and large capital operations, a coal trading enterprise always has to use a lot of money on time in order to survive and keep its development with respect to any intense market competition. At the same time, because of the new round of country's macroeconomic policies for coal industry, the traditional bank financing become more and more difficult for many coal trading enterprises. Therefore, this causes divertion and bankruptcy of more downstream co
넶43 2016-09-02 -
Q.L. Li, B.R. Yang, C.G. E and C. Duan (2016). Mechanism design of profit allocation for a large-scale parallel queueing service system. Systems Science and Mathematical Sciences, Vol. 36, No. 2, 169
Service systems and their operation management are one of the most important and attractive scientific issues in, such as, the management science and information science, and they also are hot topics in industrial and business areas. It is of great importance to design a reasonable profit allocation mechanism in a large-scale service system when the cooperation of various cells is used to improve system's effectiveness and efficiency. For that end, we use the cooperative game theory to c
넶38 2016-09-01
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Stochastic Models
In the study of stochastic models, our works focus on setting up a unified theoretic framwwork through using the RG-factorizations of, such as, Markov processes, Markov reward processes, Markov decision processes, stochastic games, evolutionary game and so forth. See Li's 2010 book: Constructive Computation in Stochastic Models with Applications: The RG-factorizations. Springer.
넶164 2021-09-29 -
Q.L. Li, Y. Du, G. Dai, M. Wang (2015). On a doubly dynamically controlled supermarket model with impatient customers. Computers & Operations Research, Vol. 55, 76–87
In this paper, we provide a key generalization of the supermarket model from the impatient customers and a doubly dynamic control, which can be applied to studying the size-based scheduling through the centered management of the customer resource and the total service ability. We first use an infinite-dimensional Markov process to express the states of this supermarket model, and set up an infinite-dimensional system of differential equations which is satisfied by the expected fraction vecto
넶45 2015-09-09 -
Q.L. Li and F.F. Yang (2015). Mean-field analysis for heterogeneous work stealing models. In: Information Technologies and Mathematical Modelling: Queueing Theory and Applications, Springer, Pages 2
In this paper, we provide a simple framework for applying the mean-field theory to dealing with a heterogeneous work stealing model of
넶83 2015-09-08 -
Q.L. Li (2015). Reward processes and performance optimization in asymmetric supermarket models. Chinese Journal of Applied Probability and Statistics, Vol. 31, No. 4, 411-431
The supermarket model has been an important mathematical tool in the study of resource management in large-scale networks by means of some advantages, such as, simple operations, quick reaction, real-time management and control and so on. It is widely applied in cloud computing, cloud manufacturing, decision-making by big data, transportation, health care and other important practical fields. Up to now, analysis of the asymmetric supermarket models is an increasingly interesting topic in thi
넶45 2015-09-07
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Q.L. Li, G. Dai, J.C.S. Lui, Y. Wang, (2014). The mean-field computation in a supermarket model with server multiple vacations. Discrete Event Dynamic Systems. Vol. 24, No. 4, 473–522
While vacation processes are considered to be ordinary behavior for servers, the study of queueing networks with server vacations is limited, interesting, and challenging. In this paper, we provide a unified and effective method of functional analysis for the study of a supermarket model with server multiple vacations. Firstly
넶47 2014-09-09 -
Q.L. Li (2014). Tail probabilities in queueing processes. Asia-Pacific Journal of Operational Research. Vol. 31, No. 2, 1–31
In the study of large scale stochastic networks with resource management, differential equations and mean-field limits are two key techniques. Recent research shows that the expected fraction vector (that is, the tail probability vector) plays a key role in setting up mean-field differential equations. To further apply the technique of tail probability vector to deal with resource management of large scale stochastic networks, this paper discusses tail probabilities in some basic queueing pr
넶43 2014-09-08 -
Q.L. Li, W. Sun, S. Li (2014). Equilibrium balking strategies of customers in Markovian queues. Applied Mathematics and Computation, Vol. 248, 195–214
This paper studies the customers’ equilibrium balking behavior in some single-server Markovian queues with two-stage working vacations. That is, the server starts taking two successive working vacations when the system becomes empty, during which he provides low-rate service but maintains different service rates in the two-stage vacations. Based on different precision levels of system information, we discuss observable queues, partially observable queues and unobservable queues, respectively. F
넶45 2014-09-07 -
Q.L. Li, C.G. E and S.Y. Li (2014). The Owen Value of Stochastic Cooperative Game. The Scientific World Journal, Article ID 853128, Pages 1–7
We consider stochastic cooperative game and give it the definition of the Owen value, which is obtained by extending the classical case. Then we provide explicit expression for the Owen value of the stochastic cooperative game and discuss its existence and uniqueness.
넶41 2014-09-06 -
Q.L. Li, Y. Du, M. Wang and G. Dai (2014). Real-time dynamic control in the supermarket models and some numerical analysis. Chinese Journal of Applied Probability and Statistics, Vol. 30, No. 2, 129–
The supermarket model is a randomized load balancing scheme for real-time dynamic control of large-scale parallel queuing network. It has many important practical applications to computer networks, cloud computing, manufacturing systems and transportation networks. In this paper, for the supermarket models we consider some important issues, such as, real-time dynamic control modes; efficiency comparison; mean-field black hole; On/Off structure; stability; fixed point solution; system performanc
넶34 2014-09-05
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Q.L. Li and J. Cao (2013). A computational framework for the mixing times in the discrete time Markov chains. arxiv.org: 1209.5604, Pages 1–34
In this paper, we develop some matrix Poisson’s equations satisfied by the mean and variance of the mixing time in an irreducible positive-recurrent discrete-time Markov chain with infinitely-many levels, and provide a computational framework for the solution to the matrix Poisson’s equations by means of the UL-type of RG-factorization as well as the generalized inverses. In an important special case: the level-dependent QBD processes, we provide a detailed computation for the mean and varia
넶35 2013-09-09
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Risk Management 风险管理:建模、方法与企业应用
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J.R. Artalejo and Q.L. Li (2012). Editorial for the special issue: Retrial Queues (WRQ'2010). Operational Research: An International Journal, Vol. 12, 107–108
This special issue of Operational Research: An International Journal contains papers presented at the Eight International Workshop on Retrial Queues (WRQ’10). This meeting was held at the Tshinghua University, Beijing, July 27–29, 2010. The Chairman was Prof. Quanlin Li. About 40 participants from 12 countries attended the meeting.
넶51 2012-09-09
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Important References to Works by Quan-Lin Li
넶61 2011-12-21 -
Q.L. Li, J.Eand Ruiz-Castro (2011). Algorithm for a general discrete k-out-of-n system subject to several types of failure with an infinite number of repairpersons. European Journal of Operational R
A discrete k-out-of-n: G system with multi-state components is modelled by means of block-structured Markov chains. An indefinite number of repairpersons are assumed and PH distributions for the lifetime of the units and for the repair time are considered. The units can undergo two types of failures, repairable or non-repairable. The repairability of the failure can depend on the time elapsed up to failure. The system is modelled and the stationary distribution is built by using
넶68 2011-09-09 -
Q.L. Li, J.C.S. Lui and Y. Wang (2011). A matrix-analytic solution for randomized load balancing models with phase-type service times. In: Performance Evaluation of Computer and Communication Systems
In this paper, we provide a matrix-analytic solution for randomized load balancing models (also known as
넶159 2011-09-08 -
Q.L. Li (2011). Super-exponential solution in Markovian supermarket models: Framework and challenge. arXiv:1106.0787, Pages 1–33
Marcel F. Neuts opened a key door in numerical computation of stochastic models by means of phase-type (PH) distributions and Markovian arrival processes (MAPs). To celebrate his 75th birthday, this paper reports a more general framework of Markovian supermarket models, including a system of differential equations for the fraction measure and a system of nonlinear equations for the fixed point. To understand this framework heuristically, this paper gives a detailed analysis for three importa
넶62 2011-09-06 -
8th International Workshop on Retrial Queues
This conference is the 8th in a series of workshops scoping to promote research and encourage interaction in the community of retrial queues. The series of workshops in retrial queues were initiated in 1998 in Madrid, as a forum for the communication and cooperation among the people who work in this subarea of queueing. The workshops are open to Applied Probabilists, Operation Researchers, Engineers, Computer Scientists and Statisticians with a main or side interest in retrial queues. The scope
넶90 2011-09-04 -
IXth International Workshop on Intelligent Statistical Quality Control
第九届国际智能质量控制学术会议(IXth International Workshop on Intelligent Statistical Quality Control)已于2007年9月12—14日在清华工业工程系举行。本次会议论文集共收录了26篇学术论文,由Springer出版社出版;共有50多名代表参加,他们来自美国、加拿大、德国、英国、荷兰、瑞典、波兰、希腊、日本、中国香港等十一个国家和地区,国内有中国科学院、清华大学和富士康公司等单位的专家学者参加。参加本次会议的专家学者大部分都是本领域中的国际著名专家、对于智能质量控制有着深刻的见解。本次会议介绍并讨论了智能质量控制在数学方法、生产制造、物流与供应链、商业流通、保险金融和医疗卫生中的理论与应用研究课题,讨论了这些学科领域的前沿方向和未来动向。智能质量控制关系到一个国家的经济发展水平,我们希望通过本次能够推动我国在质量控制与质量管理领域的进步和发展。
넶70 2011-09-04 -
全国第七届可靠性学术会议
本书收集了由中国运筹学会可靠性专业学会主办的全国第七届可靠性学术会议论文55篇,包含了我国各行各业可靠性工作者的许多最新研究成果。在可靠性理论和方法方面,包括可靠性统计、软件可靠性、结构可靠性、寿命分布类与随机比较、系统可靠性分析与计算、故障树分析和网络可靠性分析、可修系统分析、共因故障分析等方向;在可靠性应用方面,涉及到航空航天、核能、通讯、计算机、造船、化工、建筑、以及军事技术等诸多领域。
本书对从事可靠性理论、方法和应用研究的科研院所的科技人员,及在校研究生和本科生均有很好的参考价值。넶78 2011-09-04 -
Stochastic Processes in Management Sciences: Modeling, Dynamics and Algorithms 管理科学中的随机过程:建模、动力与算法
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Decision Making and Game Theory: A Viewpoint of Chinese History 决策分析与博弈论:中国历史的艺术视角
在本课程中,我们主要讲解决策分析、博弈论、马氏决策规划的基本理论与方法,包括效用理论、决策树、多属性决策、多目标决策、群决策、有限理性决策,马氏决策规划;二人零和博弈,完全信息静态博弈,完全信息动态博弈,非完全信息静态博弈,非完全信息动态博弈,合作博弈,进化博弈等等。
넶127 2011-08-16 -
Service Operations Management 服务运作管理: 运作、战略和信息技术
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Week-13Wee넶154 2011-08-16
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Q.L. Li (2010). Constructive Computation in Stochastic Models with Applications: The RG-Factorizations. Springer and Tsinghua Press, 692 pages
"Constructive Computation in Stochastic Models with Applications: The RG
넶77 2010-09-09 -
Q.L. Li and J.R. Artalejo (2010). Performance analysis of a block-structured discrete-time retrial queue with state-dependent arrivals. Discrete Event Dynamic Systems, Vol. 20, 325–347
In this paper, we introduce a new discrete block state-dependent arrival (D-BSDA) distribution which provides fresh insights leading to a successful generalization of the discrete-time Markovian arrival process (D-MAP). The D-BSDA distribution is related to structured Markov chains and the method of stages. The consideration of this new discrete-time state-dependent block description gives one the ability of construct new stochastic models. The retrial queue analyzed in this paper gives an exam
넶42 2010-09-08 -
Q.L. Li, Y. Wang and C. Lin (2010). Performance analysis of email systems under three types of attacks. Performance Evaluation, Vol. 67, No. 6, 485–499
Email is a crucial part of our daily life, but email systems are facing increasing security threats such as attacks and spam. Because of this, new mechanisms are being provided to defend against the attacks and to reduce the amount of spam in email systems. Up to now, few available works have been reported on the performance evaluation of email systems under attack, which has become necessary for enhancing email security. In this paper, we propose a novel method to study the impact of three typ
넶40 2010-09-07 -
Q.L. Li and J.C.S. Lui (2010). Doubly exponential solution for randomized load balancing models with Markovian arrival processes and PH service times. arXiv:1009.4970, Pages 1–39
In this paper, we provide a novel matrix-analytic approach for studying doubly exponential solutions of randomized load balancing models (also known as supermarket models) with Markovian arrival processes (MAPs) and phase-type (PH) service times. We describe the supermarket model as a system of differential vector equations by means of density dependent jump Markov processes, and obtain a closed-form solution with a doubly exponential structure to the fixed point of the system of differentia
넶42 2010-09-03 -
N. Li, L. Zheng and Q.L. Li, (2009). Performance analysis of two-loop closed production systems. Computers & Operations Research, Vol. 36, 119–134
A production line with a limited number of carts or pallets is regarded as a closed loop manufacturing system. Such production lines are very useful in various
넶55 2009-09-09 -
Y. Wang, C. Lin, Q.L. Li, J.Q. Wang, X. Jiang(2009). Non-Cooperative Game Based Research on Routing Schems for Wireless Networks..
Since wireless networks are usually distributed, independent and mobile ,their performance could be affected by selfish nodes. In this paper,the authors focus on the issues of selfish nodes in wireless networks. Game based mechanisms are introduced to study the wireless network involving selfish nodes. In the literature,there are mainly two approaches to deal with the selfish nodes: credit based mechanisms and non-cooperative game and incentive based mechanisms. The authors summarize and analy
넶40 2009-09-08 -
Q.L. Li, D.J. Chen, J. Yan, N.J. Huang (2009). Advances in Applications of RFID Technology in Automotive Industrial.
This paper simply introduces the basic construction of automotive supply chains, analyzes the main points of applications of RFID technology in automotive industrial in terms of the production and sales networks, discusses the basic role and information economical value of RFID technology in automotive industrial, and provides performance analysis of mathematical models for automotive supply chains with RFID technology. This paper is a complete overview for applications of RFID technology in au
넶50 2009-09-07 -
H.K Yang, C. Lin, Q.L. Li (2009). Hybrid simulation of biochemical systems using hybrid adaptive Petri nets. VALUETOOLS, 2009.
Due to the heterogeneity of many real biochemical systems,
stochastic simulation methods do not scale well as systems
become more complex and larger, whereas approximations
provided by continuous models fail to capture the stochas-
tic behavior of molecular species at very low numbers. A
hybrid simulation method is a natural idea to resolve this
dilemma. In this paper, we propose a novel notion of Petri
net called hybrid adaptive Petri net (HAPN), which is a
unified framework to conveniently in넶45 2009-09-05 -
Q.L. Li, L.M. Liu, W.X. Shang, (2008). Heavy-tailed asymptotics for a fluid model driven by an M/G/1 queue.
In this paper, an infinite-buffer fluid queue driven by an M/G/1 queue is discussed. The Laplace transform of the distribution of the stationary buffer content is expressed through the minimal positive solution to a crucial equation, similar to the fundamental equation satisfied by the busy period of an M/G/1 queue. Furthermore, the distribution of the stationary buffer content is shown to be regularly varying with index −α+1 if the distribution of the service times is regularly varying with in
넶55 2008-09-09
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N. Li, L. Zheng and Q.L. Li, (2009). Performance analysis of two-loop closed production systems. Computers & Operations Research, Vol. 36, 119–134
A production line with a limited number of carts or pallets is regarded as a closed loop manufacturing system. Such production lines are very useful in various
넶55 2009-09-09 -
Y. Wang, C. Lin, Q.L. Li, J.Q. Wang, X. Jiang(2009). Non-Cooperative Game Based Research on Routing Schems for Wireless Networks..
Since wireless networks are usually distributed, independent and mobile ,their performance could be affected by selfish nodes. In this paper,the authors focus on the issues of selfish nodes in wireless networks. Game based mechanisms are introduced to study the wireless network involving selfish nodes. In the literature,there are mainly two approaches to deal with the selfish nodes: credit based mechanisms and non-cooperative game and incentive based mechanisms. The authors summarize and analy
넶40 2009-09-08 -
Q.L. Li, D.J. Chen, J. Yan, N.J. Huang (2009). Advances in Applications of RFID Technology in Automotive Industrial.
This paper simply introduces the basic construction of automotive supply chains, analyzes the main points of applications of RFID technology in automotive industrial in terms of the production and sales networks, discusses the basic role and information economical value of RFID technology in automotive industrial, and provides performance analysis of mathematical models for automotive supply chains with RFID technology. This paper is a complete overview for applications of RFID technology in au
넶50 2009-09-07 -
H.K Yang, C. Lin, Q.L. Li (2009). Hybrid simulation of biochemical systems using hybrid adaptive Petri nets. VALUETOOLS, 2009.
Due to the heterogeneity of many real biochemical systems,
stochastic simulation methods do not scale well as systems
become more complex and larger, whereas approximations
provided by continuous models fail to capture the stochas-
tic behavior of molecular species at very low numbers. A
hybrid simulation method is a natural idea to resolve this
dilemma. In this paper, we propose a novel notion of Petri
net called hybrid adaptive Petri net (HAPN), which is a
unified framework to conveniently in넶45 2009-09-05 -
Q.L. Li, L.M. Liu, W.X. Shang, (2008). Heavy-tailed asymptotics for a fluid model driven by an M/G/1 queue.
In this paper, an infinite-buffer fluid queue driven by an M/G/1 queue is discussed. The Laplace transform of the distribution of the stationary buffer content is expressed through the minimal positive solution to a crucial equation, similar to the fundamental equation satisfied by the busy period of an M/G/1 queue. Furthermore, the distribution of the stationary buffer content is shown to be regularly varying with index −α+1 if the distribution of the service times is regularly varying with in
넶55 2008-09-09 -
Li, Y.J., Lin, C. and Li, Q.L. (2008). A simplified framework for stochastic workflow networks.
This paper presents a novel method to simplify stochastic workflow networks for their
performance analysis under a unified computable framework. This method is based on
two techniques: (1) module simplification, and (2) PH equivalence and PH approximation.
In the first technique, simplified procedures for at least four crucial modules: sequential
routing, parallel routing, selective routing and iterative routing are given, respectively;
while in the second technique, the closure properties and넶54 2008-09-08 -
Li, Q.L.,Liu, W., Yang, L., Dai, H. and Hou B. (2008). Performance analytic model for authentication mechanism. IEEE International Confer., 1097-1102
Authentication mechanism is important for network security and defence. In this paper, we describe the authentication process as a four-dimensional queuing model expressed as a quasi-birth-and-death process, and obtain the steady probabilities distribution, which leads to compute some important indices of the system. The numerical experiments show that the analytical method of this paper can effectively evaluate essential performance measures of this kind of authentication
mechanism.넶41 2008-09-07 -
Wang, Y., Lin, C., Li, Q.L. and Fang, Y.G.(2007). A queueing analysis for the denial of service (DoS) attacks in computer networks. Computer Networks, Vol. 51, 3564-3573.
In most network security analysis, researchers mainly focus on qualitative studies on security schemes and possible
attacks, and there are few papers on quantitative analysis in the current literature. In this paper, we propose one queueing
model for the evaluation of the denial of service (DoS) attacks in computer networks. The network under DoS attacks is
characterized by a two-dimensional embedded Markov chain model. With this model, we can develop a memory-efficient
algorithm for finding th넶41 2007-09-08 -
Hong, M. and Li, Q.L. (2007). IXth International Workshop on Intelligent Statistical Quality Control, Beijing, September 12-14.
Hong, M. and Li, Q.L. (2007). Reliability experimentations for lead-free solder joint of BGA assembl
넶33 2007-09-07
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