Queueing-inventory Systems: A Survey

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.