In this paper, the author defines a production-inventory fluid model with an in- nite buffer, where the inputs and outputs are controlled by a background irreducible continuous-time Markov chain representing the environment. As soon as the fluid in the storage reaches level zero, the machine becomes idle until the total fluid exceeds level D with D > 0. The author assumes that switches from idle periods and busy periods take no time and studies two separate types of models with different supply process patterns: fluid-type models and Markov additive process-type models. Leonardo Pasini
Recensione dell'articolo:(Barron, Yonit - "A threshold policy in a Markov-modulated production system with server vacation: the case of continuous and batch supplies." Adv. in Appl. Probab. 50 (2018), no. 4, 1246-274.) MR3881118 MathSciNet ISSN 2167-5163
Leonardo Pasini
2019-01-01
Abstract
In this paper, the author defines a production-inventory fluid model with an in- nite buffer, where the inputs and outputs are controlled by a background irreducible continuous-time Markov chain representing the environment. As soon as the fluid in the storage reaches level zero, the machine becomes idle until the total fluid exceeds level D with D > 0. The author assumes that switches from idle periods and busy periods take no time and studies two separate types of models with different supply process patterns: fluid-type models and Markov additive process-type models. Leonardo PasiniFile in questo prodotto:
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