A production queueing-inventory system with two-customer and a server subject to breakdown

A queueing-inventory system where the server is subject to breakdown is examined. The products in inventory are provided by production. Two different types of customers are considered. Each customer type arrives in the system according to a Poisson process with different parameters. There is only on...

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Vydáno v:Annals of operations research Ročník 331; číslo 2; s. 1089 - 1117
Hlavní autoři: Kocer, Umay Uzunoglu, Ozkar, Serife
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.12.2023
Springer
Springer Nature B.V
Témata:
Breakdown
Business and Management
Combinatorics
Cost function
Customer services
Customers
Inventory control
Inventory management
Markov processes
Operations research
Operations Research/Decision Theory
Original Research
Parameter sensitivity
Probability
Probability distribution
Probability distribution functions
Queuing theory
Random variables
Theory of Computation
Turkey
90B22
Bright-Taylor algorithm
Server breakdown
LDQBD
Two types of customers
90B05
60K25
Optimization
Queueing-inventory
ISSN:0254-5330, 1572-9338
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Shrnutí:A queueing-inventory system where the server is subject to breakdown is examined. The products in inventory are provided by production. Two different types of customers are considered. Each customer type arrives in the system according to a Poisson process with different parameters. There is only one server and the service time follows an exponential distribution. Service may be interrupted randomly due to breakdowns. There may be minor or major breakdowns and after the recovery process, the priority customer class gets service first. The described system is formulated as a level-dependent quasi-birth-death process (LDQBD). The stationarity condition is provided and the steady-state probabilities are calculated. A comprehensive numerical study is presented that examines the sensitivity of the performance measures to the change of system parameters and also investigates the optimal inventory policy according to the considered cost function.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-023-05275-9