Markovian queueing inventory system with two stage working vacations

K. Prasanna Lakshmi, K. Jeganathan, V. Kamal Nasir, M. Abdul Reiya

Abstract


This paper studies the behaviour a of two stage working vacations of a single server on Markovian queueing inventory system. The server starts taking two successive working vacations whenever the stock level and the customer level in the queue are both zero. The service rate in the 1st stage working vacation is considered to be lesser than the service rate in regular busy period but greater than the service rate in the 2nd stage working vacation. The nature of the inventory is perishable and the replenishment policy of any order is (s;Q). The steady state joint distribution of the inventory level, the status of the single server and the number of customers in the queue are obtained. Various characteristics of system performance in the steady state are derived and the longrun expected total cost rate is estimated. Several events with numerical examples, which provides the optimal behaviour of the system are presented.

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Published: 2019-01-29

How to Cite this Article:

K. Prasanna Lakshmi, K. Jeganathan, V. Kamal Nasir, M. Abdul Reiya, Markovian queueing inventory system with two stage working vacations, Mathematical Finance Letters, Vol 2019 (2019), Article ID 1

Copyright © 2019 K. Prasanna Lakshmi, K. Jeganathan, V. Kamal Nasir, M. Abdul Reiya. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Mathematical Finance Letters

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