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001-es BibID:	BIBFORM114847
035-os BibID:	(cikkazonosító)4002 (Scopus)85176386721
Első szerző:	Efrosinin, Dmitry
Cím:	Robustness of the c[mu]-Rule for an Unreliable Single-Server Two-Class Queueing System with Constant Retrial Rates / Dmitry Efrosinin, Natalia Stepanova, Janos Sztrik
Dátum:	2023
ISSN:	2227-7390
Megjegyzések:	We study the robustness of the c[mu]-rule for the optimal allocation of a resource consisting of one unreliable server to parallel queues with two different classes of customers. The customers in queues can be served with respect to a FIFO retrial discipline, when the customers at the heads of queues repeatedly try to occupy the server at a random time. It is proved that for scheduling problems in the system without arrivals, the c[mu]-rule minimizes the total average cost. For the system with arrivals, it is difficult directly to prove the optimality of the same policy with explicit relations. We derived for an infinite-buffer model a static control policy that also prescribes the service for certain values of system parameters exclusively for the class-i customers if both of the queues are not empty, with the aim to minimize the average cost per unit of time. It is also shown that in a finite buffer case, the c[mu]-rule fails.
Tárgyszavak:	Műszaki tudományok Informatikai tudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk queueing system c[mu]-rule scheduling problem static policy average cost
Megjelenés:	Mathematics. - 11 : 18 (2023), p. 1-14. -
További szerzők:	Stepanova, Natalia Sztrik János (1953-) (informatikus, matematikus)
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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