WORKING VACATION QUEUE WITH SECOND OPTIONAL SERVICE AND UNRELIABLE SERVER

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JAIN M.; CHAUHAN D.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF ENGINEERING Year:2012 | Volume:25 | Issue:3 (TRANSACTIONS C: ASPECTS) Page(s): 223-230

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Information Journal Paper

Title

WORKING VACATION QUEUE WITH SECOND OPTIONAL SERVICE AND UNRELIABLE SERVER

Author(s)

JAIN M. | CHAUHAN D. | Issue Writer Certificate

Keywords

WORKING VACATION

SECOND OPTIONAL SERVICE

MATRIX GEOMETRIC TECHNIQUE

SERVER BREAKDOWN

REPAIR

QUEUE SIZE

Abstract

An M/M/1 queueing system with SECOND OPTIONAL SERVICE and unreliable server is studied. We consider that the server works at different rate rather than being idle during the vacation period. The customers arrive to the system according to Poisson process with state dependent rates depending upon the server’s status. All customers demand the first essential service whereas only some of them demand the SECOND OPTIONAL SERVICE. A customer either may leave the system after the first essential service with probability (1-r) or at the completion of the first essential service go for SECOND OPTIONAL SERVICE with probability r (0£r£1). The server may breaks down according to Poisson process during the busy and WORKING VACATION duration. Both service times in vacation and in service period are exponentially distributed. The MATRIX GEOMETRIC TECHNIQUE is used for the analysis of the concerned queueing system. The sensitive analysis is also performed to examine the variation of the system performance characteristics with various input parameters.

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APA: Copy

JAIN, M., & CHAUHAN, D.. (2012). WORKING VACATION QUEUE WITH SECOND OPTIONAL SERVICE AND UNRELIABLE SERVER. INTERNATIONAL JOURNAL OF ENGINEERING, 25(3 (TRANSACTIONS C: ASPECTS)), 223-230. SID. https://sid.ir/paper/579338/en

Vancouver: Copy

JAIN M., CHAUHAN D.. WORKING VACATION QUEUE WITH SECOND OPTIONAL SERVICE AND UNRELIABLE SERVER. INTERNATIONAL JOURNAL OF ENGINEERING[Internet]. 2012;25(3 (TRANSACTIONS C: ASPECTS)):223-230. Available from: https://sid.ir/paper/579338/en

IEEE: Copy

M. JAIN, and D. CHAUHAN, “WORKING VACATION QUEUE WITH SECOND OPTIONAL SERVICE AND UNRELIABLE SERVER,” INTERNATIONAL JOURNAL OF ENGINEERING, vol. 25, no. 3 (TRANSACTIONS C: ASPECTS), pp. 223–230, 2012, [Online]. Available: https://sid.ir/paper/579338/en

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