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001-es BibID:BIBFORM115921
035-os BibID:(cikkazonosító)4581 (WoS)001122521300001 (Scopus)85178151429
Első szerző:Jeganathan, Kathirvel
Cím:Modeling of Junior Servers Approaching a Senior Server in the Retrial Queuing-Inventory System / Kathirvel Jeganathan, Thanushkodi Harikrishnan, Kumarasankaralingam Lakshmanan, Agassi Melikov, Janos Sztrik
Dátum:2023
ISSN:2227-7390
Megjegyzések:This article deals with the queuing-inventory system, composed of c junior servers, a senior server, two finite waiting halls, and an infinite orbit. On occasion, junior servers encounter challenges during customer service. In these instances, they approach the senior server for guidance in resolving the issue. Suppose the senior server is engaged with another junior server. The approaching junior servers await their turn in a finite waiting area with a capacity of c for consultation. Concerning this, we study the performance of junior servers approaching the senior server in the retrial queuinginventory model with the two finite waiting halls dedicated to the primary customers and the junior servers for consultation. We formulate a level-dependent QBD process and solve its steady-state probability vector using Neuts and Rao's truncation method. The stability condition of the system is derived and the R matrix is computed. The optimum total cost has been obtained, and the sensitivity analyses, which include the expected total cost, the waiting time of customers in the waiting hall and orbit, the number of busy servers, and a fraction of the successful retrial rate of the model, are computed numerically.
Tárgyszavak:Műszaki tudományok Informatikai tudományok idegen nyelvű folyóiratközlemény külföldi lapban
folyóiratcikk
multi-server
classical retrial facility
(s, Q) ordering policy
Megjelenés:Mathematics. - 11 : 22 (2023), p. 1-31. -
További szerzők:Harikrishnan, Thanushkodi Lakshmanan, Kumarasankaralingam Melikov, Agassi (1958-) (mathematician) Sztrik János (1953-) (informatikus, matematikus)
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