Title: Transient analysis of a Markovian N-policy queue with system disaster repair closedown setup times and control of admission

Authors: A. Azhagappan; T. Deepa

Addresses: Department of Mathematics, St. Anne's College of Engineering and Technology, Anna University, Panruti, Tamilnadu – 607110, India ' Department of Mathematics, Idhaya College of Arts and Science for Women, Pondicherry University, Pakkamudayanpet, Puducherry – 605008, India

Abstract: The main objective of this research work is to study the time-dependent behaviour of performance measures and probabilities for an M / M / 1 queueing model with some interesting parameters such as closedown, setup periods, disastrous breakdown of the system, repair, N-policy and different control mechanism for the arrivals when the server is under repair as well as busy. In order to reduce the cost of production and to increase the profit, the manufacturing industries follow a technique of not to start the service until the number of work pieces reaches a fixed threshold value. Shutting down the machines when no jobs are available and setting up before the commencement of service play significant contributions to reach the goals in business organisations. The probabilities of the model under consideration are derived by the method of generating function for the transient case. Some system performance measures and numerical simulations are also presented.

Keywords: N-policy queue; disaster and repair; closedown and setup times; control of admission; transient probabilities.

DOI: 10.1504/IJOR.2022.124102

International Journal of Operational Research, 2022 Vol.44 No.3, pp.279 - 291

Received: 29 Nov 2018
Accepted: 02 Jun 2019
Published online: 13 Jul 2022 *

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