Queueing-inventory Systems: A Survey

TL;DR

This survey comprehensively reviews recent advances in queueing-inventory systems from 2016 to 2023, highlighting theoretical developments, applications, and future research directions across various fields.

Contribution

It provides a systematic overview of recent literature, covering diverse topics like product-form solutions, multi-servers, and game-theoretic analysis in queueing-inventory systems.

Findings

Identification of key research trends and gaps.

Discussion of applications in energy harvesting and supply chains.

Highlighting challenges and future research directions.

Abstract

Queueing-inventory systems are integrated systems consisting of two emerging fields in applied probability, namely "Queues" and "Inventory". In this paper, we present a comprehensive review of the theory and applications of queueing-inventory systems from 2016 to 2023 and a detailed discussion of the recent literature by encompassing the topics like product-form solutions, production-inventory, perishable inventory, the retrial of unsatisfied customers/vacation/vacation interruption, multi-servers, multi-commodity, multi-class customers, postponed demands, and game-theoretic analysis on queueing-inventory systems, and other applications in various fields such as energy harvesting in the wireless network, supply chain, etc. The review provides insights into the importance of queueing-inventory systems, systematically discussing the developments and their applications, challenges, and future directions.