Selected Publications by Quan-Lin Li

Books

Q.L. Li (2010). Constructive Computation in Stochastic Models with Applications: The RG-Factorizations. Springer and Tsinghua Press, 692 pages.

International Journals

1. Q.L. Li (2016). Nonlinear Markov processes in big networks. Special Matrices, Vol. 4, 202–217. arxiv.org: 1504.07974, Pages 1–28. In: 24th International Workshop on Matrices and Statistics, May 25–28, 2015, Haikou, China, Pages 173–188.

2. Q.L. Li (2016). Black holes and white holes are found in big networks. Submitted for Publication.  (Our Key Research)

3.  Q.L. Li (2016). Dissipation and loss of resource in big networks: A measure from metastability, holes and clusters. Submitted for Publication.          (Our Key Research)

4. Q.L. Li and J.C.S. Lui (2016). Block-structured supermarket models. Discrete Event Dynamic Systems, Vol. 26, No. 2, 147–182. A complete version is given in: arxiv.org: 1406.0285, Pages 1–65.

5. 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. 3/4, 192–206. A complete version is given in: arxiv.org: 1504.08150, Pages 1–35.

6. 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.

7.  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 Applications, Springer, Chapter 16, Pages 177–191.

8. 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, Springer, Chapter 6, Pages 53–64.

9. Q.L. Li, Y. Du, G. Dai and M. Wang (2015). On a doubly dynamically controlled supermarket model with impatient customers. Computers & Operations Research, Vol. 55, 76–87.

10. 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, Chapter 3, Pages 28–40.

11. Q.L. Li, G. Dai, J.C.S. Lui and 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.

12.   Q.L. Li (2014). Tail probabilities in queueing processes. Asia-Pacific Journal of Operational Research. Vol. 31, No. 2, 1–31.

13.  W. Sun, S. Li and Q.L. Li. (2014). Equilibrium balking strategies of customers in Markovian queues. Applied Mathematics and Computation, Vol. 248, 195–214.

14.   C.G. E, Q.L. Li and S.Y. Li (2014). The Owen value of stochastic cooperative game. The Scientific World Journal, Article ID 853128, Pages 1–7.

15.    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.

16.    Q.L. Li and J. Cao (2013). Algorithmic coupling in block-structured Markov chains with infinite levels: continuous time.

17.    Q.L. Li (2013). Fluid approximation of a large-scale interacting Markov reward process with applications to queueing networks.

18.  Q.L. Li (2013). Effective computation in the waiting time in the BMAP/PH generalized processor-sharing queue.

19.  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.

20.  J.E. Ruiz-Castro and Q.L. Li (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 Research, Vol. 211, No. 1, 97–111.

21.   Q.L. Li and J.C.S. Lui (2011). Doubly exponential solution for randomized load balancing models with Markovian arrival processes and PH service times. arXiv:1009.4970, Pages 1–39.

22.    Q.L. Li (2011). Super-exponential solution in Markovian supermarket models: Framework and challenge. arXiv:1106.0787, Pages 1–33.

23.    Y. Wang, C. Lin and Q.L. Li (2010). Performance analysis of email systems under three types of attacks. Performance Evaluation, Vol. 67, No. 6, 485–499.

24.    J.R. Artalejo and Q.L. Li (2010). Performance analysis of a block-structured discrete-time retrial queue with state-dependent arrivals. Discrete Event Dynamic Systems, Vol. 20, 325–347.

25.    Q.L. Li, M. Wang, J.C.S. Lui and Y. Wang (2010). The chaos of propagation in a retrial supermarket model. arxiv.org: 1105.4341, Pages 1–46

26.   N. Li, L. Zheng and Q.L. Li, (2009). Performance analysis of two-loop closed production systems. Computers & Operations Research, Vol. 36, 119–134.

27.    Y.J. Li, C. Lin and Q.L. Li (2008). A simplified framework for stochastic workflow networks. Computers & Mathematics with Applications, Vol. 56, 2700–2715.

28.    Q.L. Li, L.M. Liu, and W.X. Shang (2008). Heavy-tailed asymptotics for a fluid model driven by an M/G/1 queue. Performance Evaluation, Vol. 65, 227–240.

29.    X.F. He, S. Wu and Q.L. Li (2007). Production variability of production lines. International Journal of Production Economics, Vol. 107, No. 1, 78–87.

30.  Y. Wang, C. Lin, Q.L. Li and Y.G. Fang (2007). A queueing analysis for the denial of service (DoS) attacks in computer networks. Computer Networks, Vol. 51, 3564–3573.

31.   Q.L. Li, Y. Ying and Y.Q. Zhao (2006). The BMAP/G/1 retrial queue with server subject to breakdowns and repairs.  Annals of Operations Research, Vol. 141, 233–270.

32.    Q.L. Li and C. Lin (2006). The M/G/1 processor-sharing queue with disasters. Computers & Mathematics with Applications, Vol. 51, 987–998.

33.    W.X. Shang, L.M. Liu and Q.L. Li (2006). Tail asymptotics for the queue length in an M/G/1 retrial queue. Queueing Systems, Vol. 52, No. 3, 193–198.

34.   Q.L. Li and C. Lin (2006). Continuous-time QBD processes with continuous phase variable. Computers & Mathematics with Applications, Vol. 52, 1483–1510.

35.  Y.J. Li, C. Lin, Q.L. Li and Z.G. Shan (2006). Block-structured stochastic process algebra and its applications to queueing systems. IEE Proc. Software, Vol. 153, No. 5, 199–210.

36.  Q.L. Li and Y.Q. Zhao (2005). Heavy-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type. Advances in Applied Probability, Vol. 37, No. 2, 482–509.

37.  Q.L. Li and Y.Q. Zhao (2005). Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type. Advances in Applied Probability, Vol. 37, No. 4, 1075–1093. A full paper is provided as Technical Report 365, Laboratory for Research in Statistics and Probability, Carleton University and University of Ottawa.

38.  Q.L. Li and Y.Q. Zhao (2005). Block-structured fluid models driven by level dependent QBD processes with either infinite levels or finite levels. Stochastic Analysis and Applications, Vol. 23, No. 6, 1087–1112.

39.  Q.L. Li, Z.T. Lian, and L.M. Liu (2005). An RG-factorization approach for a BMAP/M/1 generalized processor-sharing queue. Stochastic Models, Vol. 21, No. 2-3, 507–530.

40.  Y.J. Li, C. Lin, Q.L. Li and Z.G. Shan (2005). Performance modeling and analysis for resource scheduling in Data Grids. Lecture Notes in Computer Science 3779, 32–39.

41.  Q.L. Li and L.M. Liu (2004). An algorithmic approach on sensitivity analysis of perturbed QBD processes. Queueing Systems, Vol. 48, No. 3-4, 365–397. 

42. Q.L. Li and J. Cao (2004). Two types of RG-factorizations of quasi-birth-and-death processes and their applications to stochastic integral functionals.  Stochastic Models, Vol. 20, No. 3, 299–340.

43.    Q.L. Li and Y.Q. Zhao (2004). A MAP/G/1 queue with negative customers. Queueing Systems, Vol. 47, No. 1, 5–43.

44.    Q.L. Li, G.H. Wang and Y. Zhou (2004). Symmetric PH and EP distributions and their applications to the probability Hough transform. Computers & Mathematics with Applications, Vol. 47, No. 6-7, 823–844.

45.    Q.L. Li and Y.Q. Zhao (2004). The RG-factorization in block-structured Markov renewal processes with applications. In: Observation, Theory and Modeling of Atmospheric Variability, ed: Xun Zhu, World Scientific, Pages 545–568.

46.    Q.L. Li and Y.Q. Zhao (2003). -invariant measure for Markov chains of GI/M/1 type.  Stochastic Models, Vol. 19, No. 2, 201–233.

47.   Q.L. Li and Y.Q. Zhao (2002). A constructive method for finding invariant measures for transition matrices of M/G/1 type. Matrix-Analytic Methods: Theory and Applications, eds: Latouche, G. and Taylor, P., World Scientific, 237–263.

48.    J. Wang, J. Cao and Q.L. Li (2001). Reliability analysis of the retrial queue with server breakdowns and repairs. Queueing Systems, Vol. 38, No. 4, 363–380.

49.    G. Hsu, X. Yuan and Q.L. Li (2000). First passage time of Markov renewal processes and their applications. Science in China (Series A), Vol.20, No.12, 1238–1249.

50.  N. Tian, Q.L. Li and J. Cao (1999). Conditional stochastic decompositions in the M/M/C queue with server vacations. Stochastic Models, Vol. 15, No. 2, 367–378.

51. Q.L. Li, D.J. Xu and J. Cao (1997). Reliability approximation of a Markov queueing system with server breakdown and repair. Microelectron, Reliab., Vol.37, No.8, 1203–1212.

52.    Y.J. Zhu and Q.L. Li (1996). Analysis of a two-stage cyclic queue with state-dependent vacation policy. Optimization, Vol. 36, No.1, 75–91.

International Conferences

53. 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: Milestones and Future Challenges, Springer, Lecture Notes in Computer Science, Volume 6821, Pages 240–253.

54.   H.K Yang, C. Lin and Q.L. Li (2009). Hybrid simulation of biochemical systems using hybrid adaptive Petri nets. In: Proceedings of the Fourth International ICST Conference on Performance Evaluation Methodologies and Tools, Pages 1–10.

55.  W. Liu, L. Yang, Q.L. Li, H. Dai and B. Hou (2008). Performance analytic model for authentication mechanism. In: 2008 IEEE International Conference on Networking, Sensing and Control, Pages 1097–1102.

56.    M. Hong and Q.L. Li (2007). Reliability experimentations for lead-free solder joint of BGA assemblies. In: The IXth International Workshop on Intelligent Statistical Quality Control, Beijing, September 12–14, Pages 1–22.

57.    Q.L. Li and L.Y. Guo (2006). An overview on RFID technology and applied areas. RFID Technology and Applications, Vol. 1, No. 1, 51–62.

58.   L. Guo, Q.L. Li and P. Wang (2006). Information and cost structure of supply chain management based on RFID technology. RFID Technology and Applications, Vol. 1, No. 2, 58–64.

59.    H. Peng and Q.L. Li (2006). Crucial Technique Research on RFID Privacy and Security. International Conference on RFID Technology and Applications, Beijing, Pages 1–15.

60.   X.F. He, S. Wu and Q.L. Li (2005). Production variability of production lines with unreliable machines. The 4th International Conference on Quality and Reliability, eds: Cui, L. R., Xie, M. and Tsang, A.H.C., Beijing Institute of Technology Press, Pages 921–927.

61.   Q.L. Li and Y.J. Li (2005). Reliability analysis on self-similar networks. Proceedings of the 7th Symposium on Reliability in China, ed. Li, Q.L., Tsinghua University Press, Pages 1–8.

62.    Y. Zhou, Q.L. Li and S.D. Ma (2001). Visualization of geostress tensor along oil well trajectory. IEEE 2001 Conference of Computer Graphics, Hong Kong.

63.    Q.L. Li, M. Tan and Y. Sun (1999). The SM/PH/1 queue with repairable server of PH lifetime. IFAC 14th Triennial World Congress, Beijing, P.R. China, Vol. A, Pages 297–305.

64.    Q.L. Li and J. Cao (1996). Equilibrium behavior of the matched queueing system /1. Operations Research and Its Applications, ed: Du, Ding-Zhu, Pages 487–499.

Chinese Journals

65.   Q.L. Li, R.N. Fan and N. Li (2016). Research on big data driven large-scale bike-sharing systems and associated bike rebalancing. Chinese Journal of Applied Probability and Statistics, Vol. 32, No. 4, 1–24.

66.   Q.L. Li, Y.J. Huang and C.G. E (2016). Research on cooperative games of queueing networks for agricultural cooperative alliances under the mode of connecting agriculture with supermarkets. Systems Science and Mathematical Sciences, Vol. 36.

67.   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, 169–182.

68.    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, 1–8.

69.   Q.L. Li, Y. Ding and F.F. Yang (2015). Reward processes and performance optimization in asymmetric supermarket models. Chinese Journal of Applied Probability and Statistics, Vol. 31, No. 4, 411–431.

70.    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, 129–150.

71.    Q.L. Li, D.J. Chen, J. Yan and N.J. Huang (2009). Advances in Applications of RFID Technology in Automotive Industrial. RFID Technology and Applications, Vol. 4, No. 4, 52–62.

72.  Y. Wang, C. Lin, Q.L. Li, J.Q. Wang and X. Jiang (2009). Non-cooperative game for analyzing routing schemes in wireless networks. Chinese J. Computers, Vol. 32, No. 1, 54–68.

73.    Q.L. Li and L. Yang (2006). Can new ports of energy resource prompt China? Logistics Magazine, Vol. 67, No. 4, 40–41.

74.   C. Lin, Y. Wang and Q.L. Li (2005). Stochastic modeling and evaluation for network security. Chinese J. Computers, Vol. 28, No. 12, 1943–1956.

75.   Q.L. Li and Y. Zhou (2002). Probability model of randomized Hough transform: limited data. Chinese J. Computers, Vol, 25, No. 3, 238–246.

76.   Q.L. Li, Y. Zhou and Y.Q. Zhao (2001). Symmetric phase type filters and their applications to edge detection. Chinese J. Computers, Vol, 24, No. 5, 502–508.

77.  Q.L. Li and J. Cao (2000).The repairable queueing system MAP/PH(M/PH)/2 with dependent repairs. Systems Science and Mathematical Sciences, Vol.20, No.1, 78–86.

78.    N. Tian and Q.L. Li (2000). The M/M/c queue with PH Synchronous vacations. Systems Science and Mathematical Sciences, Vol. 13, No. 1, 7–16.

79.    Q.L. Li and J. Cao (1998). Pre-set value policy and optimization of assigning work-pieces in finite CIMS buffer. OR Transactions, Vol. 2, No. 3, 15–24.

80.   Q.L. Li and N.S. Tian (1997). Reliability study of the Clarke type CIMS with phase type life times. Acta Automatica Sinica, 1997, Vol. 23, No. 1, 35-42.

81.    Q.L. Li and Z.X. Tang (1996). Analysis of (M/G)/1 matching queue system with -policy vacation and repairable server. Systems Science and Mathematical Sciences, Vol. 16, No. 3, 193–203.

82.    Q.L. Li (1996). Queue system M/SM (PH/SM)/1 with repairable service station. Mathematica Applicata, Vol. 9, No. 4, 422–428.

83.  Q.L. Li (1996). Reliability analysis of CIMS with no-renewal life times and group production. Communication on Applied Mathematics and Computation, Vol. 10, No. 2, 12–20.

84.   Q.L. Li (1995). Reliability survey of G-PH type CIMS production line with the phase type life-times. Control and Decision, Vol. 10, No. 5, 422–428.

85.   Q.L. Li (1995). The phase type structure method for reliability analysis on CIMS production line with velocity adjusted by buffer. Information and Control, Vol. 24, No. 5, 269–276.

86.   Q.L. Li (1995). The queueing system PH/PH(PH/PH)/1 with the repairable service station. Mathematical Statistics and Applied Probability, Vol. 10, No. 2, 75–83.

87.  Q.L. Li and Y.M. Zhang (1995). Diffusion estimation boundary of reliability model with N cold standby units. Communication on Applied Mathematics and Computation, Vol. 9, No. 2, 39–46.

88.  N. Tian and Q.L. Li (1995). The phase type distribution and its applications in various stochastic models: A survey. Communication on Applied Mathematics and Computation, Vol. 9, No. 2, 1–15.

89.  Q.L. Li (1994). The phase type analysis of reliability on CIMS with multiple levels changing environment. Control Theory & Applications, Vol. 11, No. 6, 758–763.

90. Q.L. Li (1994). Queue system /G (M/G)/1 with (N, B) - policy vacation and repairable service station. Chinese Journal of Operations Research, Vol. 13, No. 1, 24-32.

91. Q.L. Li and J.J. Li (1994). An application of Markov-modulated Poisson process to two-unit series repairable system. Chinese Journal of Engineering Mathematics, Vol. 11, No. 1, 56–66.

92. Q.L. Li and Y.J. Zhu (1993). Analysis of queueing system PH/PH/1/N with PH vacation of gated exhaustive service. Communication of Applied Mathematics and Computation, Vol. 7, No. 2, 33–40.