Unreliable Server Mx/G/1 Queue with Loss-delay, Balking and Second Optional Service

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SHARMA P.

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Journal Paper

Paper Information

Journal: International Journal of Engineering Year:2017 | Volume:30 | Issue:2 (TRANSACTIONS B: Applications) Page(s): 243-252

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Information Journal Paper

Title

Unreliable Server Mx/G/1 Queue with Loss-delay, Balking and Second Optional Service

Author(s)

SHARMA P. | Issue Writer Certificate

Keywords

Bulk queue

Loss and delay

Essential service

Optional service

Supplementary variables

Queue size

Abstract

This investigation deals with MX/G/1 queueing model with setup, bulk-arrival, loss-delay and balking. The provision of second Optional service apart from Essential service by an unreliable server is taken into consideration. We assume that the delay customers join the queue when server is busy whereas loss customers depart from the system. After receiving the Essential service, the customers may opt for the Optional service with some probability or may leave the system. The server is unreliable and hence may breakdown in both essential and Optional service cases and requires a setup time before being repaired. The service during Essential service, setup times and repair times for both cases are general distributed while the service time during Optional service is exponential. Using the supplementary variable technique, the equations governing the model are constructed. The steady state Queue size distribution is then obtained using Laplace transform and probability generating functions. The numerical results for various performance indices have been obtained and illustrated graphically.

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APA: Copy

SHARMA, P.. (2017). Unreliable Server Mx/G/1 Queue with Loss-delay, Balking and Second Optional Service. INTERNATIONAL JOURNAL OF ENGINEERING, 30(2 (TRANSACTIONS B: Applications)), 243-252. SID. https://sid.ir/paper/724589/en

Vancouver: Copy

SHARMA P.. Unreliable Server Mx/G/1 Queue with Loss-delay, Balking and Second Optional Service. INTERNATIONAL JOURNAL OF ENGINEERING[Internet]. 2017;30(2 (TRANSACTIONS B: Applications)):243-252. Available from: https://sid.ir/paper/724589/en

IEEE: Copy

P. SHARMA, “Unreliable Server Mx/G/1 Queue with Loss-delay, Balking and Second Optional Service,” INTERNATIONAL JOURNAL OF ENGINEERING, vol. 30, no. 2 (TRANSACTIONS B: Applications), pp. 243–252, 2017, [Online]. Available: https://sid.ir/paper/724589/en

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