Multi-threshold control of theBMAP/SM/1/Kqueue with group services

[摘要] We consider a finite capacity queue in which arrivals occur according to a batch Markovian arrival process(BMAP). The customers are served in groups of varying sizes. The services are governed by a controlled semi-Markovian process according to a multithreshold strategy. We perform the steady-state analysis of this model by computing (a) the queue length distributions at departure and arbitrary epochs, (b) the Laplace-Stieltjes transform of the sojourn time distribution of an admitted customer, and (c) some selected system performance measures. An optimization problem of interest is presented and some numerical examples are illustrated.

[学科分类] 应用数学