 Bi-level threshold policy of M X /(G 1,G 2 )/1 queue with early setup and single vacationK. Julia Rose Mary, M.I. Afthab Begum and M. Jemila Parveen International Journal of Operational Research, 2011, vol. 10, issue 4, 469-493 Abstract: In this paper, we analyse a queueing system with a second optional service channel under bi-level control policy and server's single vacation. There is a single server who provides the first essential service to all arriving customers. As soon as the first service of a customer is complete, then with probability r, the customer may opt for the second service in which case the second service will immediately commence, or else with probability (1 − r) he may opt to leave the system, so that another customer at the head of the queue (if any) is taken up for his first essential service. The server operates an (m, N) policy with an early setup and takes a single vacation whenever the system becomes empty. For this model, the stationary probability generating function of the queue length distribution is obtained through supplementary variable technique and a decomposition property is discussed. The expected length of the cycle, various performance measures and the optimal values of thresholds m and N which minimise the total expected operating cost are also calculated. Keywords: bi-level threshold policy; first essential service; second optional service; early setup; single vacation policy; queueing systems. (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:ijores:v:10:y:2011:i:4:p:469-493 Access Statistics for this article More articles in International Journal of Operational Research from Inderscience Enterprises Ltd |
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