Title: An inventory system with two heterogeneous servers and orbital search for feedback customers

Authors: C. Suganya; M. Amirthakodi; B. Sivakumar

Addresses: Department of Mathematics, T.K.S. College of Arts and Science, Theni, 6525534, Tamilnadu, India ' Department of Mathematics, Kamaraj College, Thoothukudi, 628003, Tamilnadu, India ' School of Mathematics, Madurai Kamaraj University, Madurai, 625021, Tamilnadu, India

Abstract: This model deals a continuous review (s, S) inventory system with two heterogeneous servers (server-1 and server-2). Server-1 serves for primary and feedback customers. The primary customers arrival according to a MAP. Service time for both servers, lead time and feedback customers service have exponential distribution. The Primary customers, who finds either two servers are busy or no item is in stock, waits in the finite waiting hall. If the waiting hall is full, then the arriving customer consider to be lost. After the completion of service, the primary customer will decide either to join the orbit (infinite size) for additional service or leaves the system according to a Bernoulli trial. These orbiting customers compete for their service according to a constant retrial policy. Orbital search for server-2 follows a Bernoulli trial. The results are illustrated numerically.

Keywords: MAP; Markovian arrival process; feedback customers; heterogeneous servers; service facility; orbital search.

DOI: 10.1504/IJMMNO.2018.094548

International Journal of Mathematical Modelling and Numerical Optimisation, 2018 Vol.8 No.4, pp.351 - 377

Received: 22 Nov 2016
Accepted: 12 Oct 2017

Published online: 06 Sep 2018 *

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