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Open accessJournal ArticleDOI: 10.1088/1757-899X/263/4/042147

An unreliable group arrival queue with k stages of service, retrial under variant vacation policy

01 Nov 2017-Vol. 263, Iss: 4, pp 042147
About: This article is published in Microelectronics Systems Education.The article was published on 2017-11-01 and is currently open access. The article focuses on the topic(s): Queue & Service (business).

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Topics: Queue (54%), Service (business) (53%)
References
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01 Jan 2008-
Topics: Retrial queue (71%)

395 Citations


Journal ArticleDOI: 10.1007/BF02564721
Jesús R. Artalejo1Institutions (1)
01 Dec 1999-Top

305 Citations


Journal ArticleDOI: 10.1016/J.CIE.2009.01.002
Jau-Chuan Ke, Fu-Min Chang1Institutions (1)
Abstract: This paper studies a general retrial queue with balking and Bernoulli feedback, where the server operates a modified vacation policy. If the server is busy or on vacation, an arriving customer either enters an orbit with probability b, or balks (does not enter) with probability 1-b. Otherwise the service of the arriving customer commences immediately. At any service completion epoch, the test customer may either enter the orbit for another service with probability p or leave the system with probability 1-p. If the orbit is empty, the server takes at most J vacations until at least one customer is recorded in the orbit when the server returns from a vacation. This retrial system has potential applications in e-mail system and WWW server. By applying the supplementary variable technique, some important performance measures are derived. The effect of various retrial/vacation time distributions and different values of J on the system performance measures is also investigated. The analyses and results presented in this paper may be useful for network system designers and software system engineers.

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Topics: Retrial queue (68%), Vacation Time (54%)

73 Citations


Open accessJournal ArticleDOI: 10.1016/J.APM.2011.05.047
Abstract: This paper deals with the steady state behaviour of an Mx/G/1 queue with general retrial time and Bernoulli vacation schedule for an unreliable server, which consists of a breakdown period and delay period. Here we assume that customers arrive according to compound Poisson processes. While the server is working with primary customers, it may breakdown at any instant and server will be down for short interval of time. Further concept of the delay time is also introduced. The primary customer finding the server busy, down or vacation are queued in the orbit in accordance with FCFS (first come first served) retrial policy. After the completion of a service, the server either goes for a vacation of random length with probability p or may continue to serve for the next customer, if any with probability (1 − p). We carry out an extensive analysis of this model. Finally, we obtain some important performance measures and reliability indices of this model.

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Topics: Retrial queue (68%), First-come, first-served (52%), Queue (51%)

69 Citations


Open accessJournal ArticleDOI: 10.1016/J.CAM.2009.06.033
Fu-Min Chang1, Jau-Chuan KeInstitutions (1)
Abstract: This paper considers a batch arrival retrial queue with general retrial times under a modified vacation policy. Any arriving batch finding the server busy or on vacation enters an orbit. Otherwise, one customer from the arriving batch obtains the service immediately while the rest join the orbit. If the orbit is empty, the server takes at most J vacations repeatedly until at least one customer appears in the orbit upon returning from a vacation. If the orbit is nonempty when the server returns from a vacation, the server waits idly for customers from the orbit or new arrivals. On the other hand, if no customers are recorded in the orbit at the end of the Jth vacation, the server waits for new customers to arrive. This retrial system has potential applications in packet-switched networks. By applying the supplementary variable technique, some important system characteristics are derived. The results presented in the paper may be useful for network system designers and software system engineers.

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Topics: Retrial queue (62%), Orbit (control theory) (53%)

39 Citations