Title: Analysis of a bulk service queue with unreliable server, multiple vacation, overloading and stand-by server

Authors: G. Ayyappan; S. Karpagam

Addresses: Department of Mathematics, Pondicherry Engineering College, Puducherry, India ' Department of Mathematics, Pondicherry Engineering College, Puducherry, India

Abstract: We studied the behaviour of an M[X]/G(a, b)/1 queueing system with unreliable server, multiple vacation, overloading and stand-by server in this paper. The stand-by server is utilised only during main server's repair period. The probability generating function (PGF) of queue size and some important performance measures are derived. An extensive numerical result is illustrated.

Keywords: general bulk service; unreliable server; stand-by server; multiple vacation; overloading.

DOI: 10.1504/IJMOR.2020.106927

International Journal of Mathematics in Operational Research, 2020 Vol.16 No.3, pp.291 - 315

Received: 19 Oct 2018
Accepted: 19 Dec 2018

Published online: 22 Apr 2020 *

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