Transient Analysis of Batch Service Queue with Second Optional Service and Reneging | Zendy

Vijaya Laxmi P. | Zendy; Andwilile Abrahamu George | Zendy

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Transient Analysis of Batch Service Queue with Second Optional Service and Reneging

Author(s) -

Vijaya Laxmi P.,

Andwilile Abrahamu George

Publication year - 2020

Publication title -

international research journal on advanced science hub

Language(s) - English

Resource type - Journals

ISSN - 2582-4376

DOI - 10.47392/irjash.2020.185

Subject(s) - service (business) , queueing theory , queue , computer science , transient (computer programming) , queueing system , real time computing , operations research , mathematical optimization , computer network , mathematics , operating system , business , marketing

This paper investigates a single server batch service queueing system with second optional service and reneging. The transient state probabilities of the queueing model are computed by using fourth order Runge Kutta method. Cost analysis is performed to determine the optimal values of the service rates of First Essential Service (FES) and Second Optional Service (SOS) simultaneously at the minimum total expected cost per unit time. Some important performance measures and numerical illustrations are provided in order to show the managerial intuitions of the model.

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