A queueing-inventory system with perishable items and retrial of customers

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Authors :

P. S. Reshmi 1 and K. P. Jose 2 *

Author Address :

1,2 P. G. & Research Dept. of Mathematics, St.Peter’s College, Kolenchery-682 311 Kerala, India.

*Corresponding author.

Abstract :

In this paper, we consider a continuous review perishable $(s,Q)$ inventory system in which the customers arrive according to a Poisson process. Service time and lead time are assumed to be independent exponential distributions. A customer who arrives during server busy or stock out period either enters into an orbit of infinite capacity or leaves the system. The time between any two successive retrials of the orbiting customer is distributed as an exponential with parameter depending on the number of customers in the orbit. Decay time of items is also assumed to be exponentially distributed with linear rate. Some relevant system performance measures are derived. A suitable cost function is constructed and analyzed. Some numerical and graphical illustrations are also included to highlight the results.

Keywords :

Cost Analysis, Matrix Analytic Method, Perishable Inventory, Retrials.

DOI :

10.26637/MJM0702/0006

Article Info :

Received : December 21, 2018; Accepted : March 26, 2019.

 

 

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