Unreliable Single-Server Queueing System with Customers of Random Capacity

Autor:	Oleg Tikhonenko, Marcin Ziółkowski
Rok vydání:	2020
Předmět:	Service (business) Poisson arrival process Service time business.industry Laplace–Stieltjes transform Computer science Volume (computing) Arbitrary distribution Single server Queueing system business Computer network
Zdroj:	Computer Networks ISBN: 9783030507183 CN
DOI:	10.1007/978-3-030-50719-0_12
Popis:	In the paper, we investigate one-server queueing system with stationary Poisson arrival process, non-homogeneous customers and unreliable server. As non-homogenity, we mean that each customer is characterized by some arbitrarily distributed random capacity that is called customer volume. Service time of a customer generally depends on his volume. The server can be broken when it is free or busy and the renewal period goes on for random time having an arbitrary distribution. During this period, customers present in the system and arriving to it are not served. Their service continues immediately after renewal period termination. For such systems, we determine the distribution of total volume of customers present in it. An analysis of some special cases and some numerical examples are attached as well.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::067fb6026b9dcdc16b2a9143bbbf39f3 https://doi.org/10.1007/978-3-030-50719-0_12 Zobrazit plný text záznamu