Quan-Lin Li, Ye Du,Guirong Dai and Meng Wang (2015). On a doubly dynamically controlled supermarket model with impatient customers. Computers & Operations Research, Vol. 55, 76-87.
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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
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