Sinem ÖzkanÖnder BulutÖzkan, SinemBulut, Önder2025-10-062022214609572146-09572146-570310.11121/IJOCTA.2022.10342-s2.0-85123368318https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123368318&doi=10.11121%2FIJOCTA.2022.1034&partnerID=40&md5=3be5b81be289b49f55ad955d5184a7f5https://gcris.yasar.edu.tr/handle/123456789/8838https://doi.org/10.11121/ijocta.2022.1034https://doi.org/10.11121/IJOCTA.2022.1034We consider a make-to-stock environment with a single production unit that corresponds to a single machine or a line. Production and hence inventory are controlled by the two-critical-number policy. Production times are independent and identically distributed general random variables and demands are generated according to a stationary Poisson process. We model this production-inventory system as an M/G/1 make-to-stock queue. The main contribution of the study is to extend the control of make-to-stock literature by considering general production times lost sales and fixed production costs at the same time. We characterize the long-run behaviour of the system and also propose a simple but very effective approximation to calculate the control parameters of the two-critical-number policy. An extensive numerical study exhibits the effects of the production time distribution and the system parameters on the policy control levels and average system cost. © 2023 Elsevier B.V. All rights reserved.Englishinfo:eu-repo/semantics/openAccessMake-to-stock, Production, Production And Inventory Control, Queueing Theory, Renewal TheoryMake-to-stockQueueing TheoryProduction and Inventory ControlProductionRenewal TheoryArticle