A production – inventory system with a Markovian service queue and lost sales

Abstract

We study an (s, S) production–inventory system with an attached Markovian service queue. A production facility gradually replenishes items in the inventory based on the (s, S) scheme, and the production process is assumed to be a Poisson process. In addition to the production–inventory system, c servers process customers that arrive in the system according… (More)

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