Perishable Inventory System with N-Policy, MAP Arrivals, and Impatient Customers

R. Suganya, Lewis Nkenyereye, N. Anbazhagan, S. Amutha, M. Kameswari, Srijana Acharya and Gyanendra Prasad Joshi
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R. Suganya: Department of Mathematics, Alagappa University, Karaikudi 630003, Tamil Nadu, India
Lewis Nkenyereye: Department of Computer and Information Security, Sejong University, Seoul 05006, Korea
N. Anbazhagan: Department of Mathematics, Alagappa University, Karaikudi 630003, Tamil Nadu, India
S. Amutha: Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi 630003, Tamil Nadu, India
M. Kameswari: Department of Mathematics, School of Advanced Sciences, Kalasalingam Academy of Research and Education, Krishnankoil, Srivilliputhur 626128, Tamil Nadu, India
Srijana Acharya: Department of Convergence Science, Kongju National University, Gongju 32588, Korea
Gyanendra Prasad Joshi: Department of Computer Science and Engineering, Sejong University, Seoul 05006, Korea

Mathematics, 2021, vol. 9, issue 13, 1-15

Abstract: In this study, we consider a perishable inventory system that has an ( s , Q ) ordering policy, along with a finite waiting hall. The single server, which provides an item to the customer after completing the required service performance for that item, only begins serving after N customers have arrived. Impatient demand is assumed in that the customers waiting to be served lose patience and leave the system if the server’s idle time overextends or if the arriving customers find the system to be full and will not enter the system. This article analyzes the impatient demands caused by the N-policy server to an inventory system. In the steadystate, we obtain the joint probability distribution of the level of inventory and the number of customers in the system. We analyze some measures of system performance and get the total expected cost rate in the steadystate. We present a beneficial cost function and confer the numerical illustration that describes the impact of impatient customers caused by N-policy on the inventory system’s total expected cost rate.

Keywords: ( s , Q )-policy; Markovian Arrival Process; N-policy; impatient customers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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