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001-es BibID:BIBFORM088719
035-os BibID:(cikkazonosító)1803 (WoS)000587008800001 (Scopus)85093092194
Első szerző:Efrosinin, Dmitry
Cím:Approximations in Performance Analysis of a Controllable Queueing System with Heterogeneous Servers / Dmitry Efrosinin, Natalia Stepanova, Janos Sztrik, Andreas Plank
Dátum:2020
ISSN:2227-7390
Megjegyzések:The paper studies a controllable multi-server heterogeneous queueing system where servers operate at different service rates without preemption, i.e., the service times are uninterrupted. The optimal control policy allocates the customers between the servers in such a way that the mean number of customers in the system reaches its minimal value. The Markov decision model and the policy-iteration algorithm are used to calculate the optimal allocation policy and corresponding mean performance characteristics. The optimal policy, when neglecting the weak influence of slow servers, is of threshold type defined as a sequence of threshold levels which specifies the queue lengths for the usage of any slower server. To avoid time-consuming calculations for systems with a large number of servers, we focus here on a heuristic evaluation of the optimal thresholds and compare this solution with the real values. We develop also the simple lower and upper bound methods based on approximation by an equivalent heterogeneous queueing system with a preemption to measure the mean number of customers in the system operating under the optimal policy. Finally, the simulation technique is used to provide sensitivity analysis of the heuristic solution to changes in the form of inter-arrival and service time distributions.
Tárgyszavak:Műszaki tudományok Informatikai tudományok idegen nyelvű folyóiratközlemény külföldi lapban
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Megjelenés:Mathematics. - 8 : 10 (2020), p. 1-18. -
További szerzők:Stepanova, Natalia Sztrik János (1953-) (informatikus, matematikus) Plank, Andreas
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