 A batch arrival unreliable server queue with two phases of service and Bernoulli vacation schedule under randomised vacation policyGautam Choudhury and Mitali Deka International Journal of Services and Operations Management, 2016, vol. 24, issue 1, 33-72 Abstract: This paper deals with an MX/G/1 Bernoulli vacation queue with two phases of service in which an unreliable server operates a randomised vacation policy with at most M consecutive vacations. If the system is empty by the end of the Mth vacation, the server becomes idle in the system until at least one customer arrives at the queue. Assume that the server may meet an unpredictable breakdown according to a Poisson process and the repair time has a general distribution. For such a system, we derive the joint distribution of state of the server and queue size, the pgf of the stationary queue size distribution at a departure epoch, LST of busy period distribution and waiting time distribution along with some important performance measures of the model. Finally, we develop a cost model to determine optimal randomised policy along with some numerical illustration. Keywords: stationary queue size distribution; breakdown; repair time; busy period; batch arrivals; unreliable server queues; Bernoulli vacation schedule; randomised vacation policy; cost modelling. (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ids:ijsoma:v:24:y:2016:i:1:p:33-72 Access Statistics for this article More articles in International Journal of Services and Operations Management from Inderscience Enterprises Ltd |
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