Title: Review the concepts of queues and inventory models

Authors: P. Indumathi; K.`. Karthikeyan

Addresses: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India ' Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

Abstract: A queueing inventory system has been widely analysed due to its ubiquitous applications in the modern environment and ability to enhance accuracy in this field. The current investigation provides adequate knowledge about the queueing inventory systems. The main aim of the analysis is to reduce the waiting time and the total optimal cost of inventory. The queueing systems, along with the inventory models, such as production inventory, stochastic, perishable products, an assorted variety of demands with diverse service times, and deteriorating inventory systems, are discussed. Based on the existing literature, this article offers some suggestions for using queueing inventory models in a wide variety of contexts. Examples of this include medical systems, traffic flow, scheduling, networking, and facility designs.

Keywords: queueing inventory models; perishable inventory; production inventory; stochastic inventory; deteriorating inventory; demands.

DOI: 10.1504/IJMOR.2024.141475

International Journal of Mathematics in Operational Research, 2024 Vol.29 No.1, pp.66 - 93

Received: 28 Oct 2022
Accepted: 17 Apr 2023
Published online: 16 Sep 2024 *

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