Petri net analysis of a queueing inventory system with orbital search by the server

Autor: Ikhlef Lyes, Hakmi Sedda, Lekadir Ouiza, Aïssani Djamil
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Demonstratio Mathematica, Vol 56, Iss 1, Pp 2056-2066 (2023)
Druh dokumentu: article
ISSN: 2391-4661
DOI: 10.1515/dema-2022-0207
Popis: In this article, a queueing inventory system with finite sources of demands, retrial demands, service time, lead time, (s,S)\left(s,S) replenishment policy, and demands search from the orbit was studied. When the lead time is exponentially distributed (resp. lead time is generally distributed), generalized stochastic Petri net (GSPN) (resp. Markov regenerative stochastic Petri net [MRSPN]) is proposed for this inventory system. The quantitative analysis of this stochastic Petri net model was obtained by continuous time Markov chain for the GSPN model (resp. the supplementary variable method for the MRSPN model). The probability distributions are obtained, witch allowed us to compute performance measures and the expected cost rate of the studied system.
Databáze: Directory of Open Access Journals