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001-es BibID:	BIBFORM065278
Első szerző:	Efrosinin, Dmitry
Cím:	Optimal control of a two-server heterogeneous queueing system with breakdowns and constant retrials / Dmitry Efrosinin, János Sztrik
Dátum:	2016
ISSN:	1865-0929
Megjegyzések:	Heterogeneous servers which can differ in service speed and reliability are becoming more popular in the modelling of modern communication systems. For a two-server queueing system with one non-reliable server and constant retrial discipline we formulate an optimal allocation problem for minimizing a long-run average cost per unit of time. Using a Markov decision process formulation we prove a number of monotone properties for the increments of the dynamic-programming value function. Such properties imply the optimality of a two-level threshold control policy. This policy prescribes the usage of a less productive server if the number of customers in the queue becomes higher than a predefined level which depends on the state of a non-reliable more powerful server. We provide also a heuristic solution for the optimal threshold levels in explicit form as a function of system parameters.
ISBN:	978-3-319-44614-1 (print) 978-3-319-44615-8 (online)
Tárgyszavak:	Műszaki tudományok Informatikai tudományok könyvfejezet optimal allocation Markov decision process monotonicity properties threshold policy heterogeneous servers long-run average cost
Megjelenés:	Information technologies and mathematical modelling - queueing theory and applications : 15th International Scientific Conference, ITMM 2016, named after A.F. Terpugov, Katun, Russia, September 12-16, 2016. Proceedings / Eds. Alexander Dudin, Alexander Gortsev, Anatoly Nazarov, Rafael Yakupov. - p. 57-72. -
További szerzők:	Sztrik János (1953-) (informatikus, matematikus)
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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