ON (A, C, B) POLICY QUEUE WITH CHANGE OVER TIMES UNDER BERNOULLI SCHEDULE VACATION INTERRUPTION

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VIJAYA LAXMI P.; SELESHI D.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2013 | Volume:3 | Issue:3 Page(s): 181-196

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Title

ON (A, C, B) POLICY QUEUE WITH CHANGE OVER TIMES UNDER BERNOULLI SCHEDULE VACATION INTERRUPTION

Author(s)

VIJAYA LAXMI P. | SELESHI D. | Issue Writer Certificate

Keywords

WORKING VACATIONS

VACATION INTERRUPTION

COST

QUEUE

GENETIC ALGORITHM

Abstract

Abstract. This paper analyzes a renewal input WORKING VACATIONS QUEUE with change over times and Bernoulli schedule VACATION INTERRUPTION under (a, c, b) policy. The service and vacation times are exponentially distributed. The server begins service if there are at least c units in the QUEUE and the service takes place in batches with a minimum of size a and a maximum of size b (a⩽c⩽b). The change over periods follow if there are (c-1) customers at vacation completion instant or (a-1) customers at service completion instant. The steady state QUEUE length distributions at arbitrary and pre-arrival epochs are obtained. Performance measures and optimal COST policy are presented with numerical experiences. The GENETIC ALGORITHM and quadratic fit search method are employed to search the optimal values of some important parameters of the system.

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APA: Copy

VIJAYA LAXMI, P., & SELESHI, D.. (2013). ON (A, C, B) POLICY QUEUE WITH CHANGE OVER TIMES UNDER BERNOULLI SCHEDULE VACATION INTERRUPTION. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 3(3), 181-196. SID. https://sid.ir/paper/328294/en

Vancouver: Copy

VIJAYA LAXMI P., SELESHI D.. ON (A, C, B) POLICY QUEUE WITH CHANGE OVER TIMES UNDER BERNOULLI SCHEDULE VACATION INTERRUPTION. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2013;3(3):181-196. Available from: https://sid.ir/paper/328294/en

IEEE: Copy

P. VIJAYA LAXMI, and D. SELESHI, “ON (A, C, B) POLICY QUEUE WITH CHANGE OVER TIMES UNDER BERNOULLI SCHEDULE VACATION INTERRUPTION,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 3, no. 3, pp. 181–196, 2013, [Online]. Available: https://sid.ir/paper/328294/en

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