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A queueing-inventory system with two classes of customers
Ning Zhao1; Zhaotong Lian2
2011-01
Source PublicationInternational Journal of Production Economics
ISSN0925-5273
Volume129Issue:1Pages:225-231
Abstract

We consider a queueing-inventory system with two classes of customers. Customers arrive at a service facility according to Poisson processes. Service times follow exponential distributions. Each service uses one item in the attached inventory supplied by an outside supplier with exponentially distributed lead time. We find a priority service rule to minimize the long-run expected waiting cost by dynamic programming method and obtain the necessary and sufficient condition for the priority queueing-inventory system being stable. Formulating the model as a level-dependent quasi-birth-and-death (QBD) process, we can compute the steady state probability distribution by BrightTaylor algorithm. Useful analytical properties for the cost function are identified and extensive computations are conducted to examine the impact of different parameters to the system performance measures.

KeywordCost Analysis Inventory Control Performance Measures Priority Queueing Systems Service Rule
DOI10.1016/j.ijpe.2010.10.011
URLView the original
Indexed BySCI
Language英语
WOS Research AreaEngineering ; Operations Research & Management Science
WOS SubjectEngineering, Industrial ; Engineering, Manufacturing ; Operations Research & Management Science 文献信息
WOS IDWOS:000285705200023
PublisherELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
The Source to ArticleScopus
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Citation statistics
Cited Times [WOS]:29   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Business Administration
DEPARTMENT OF ACCOUNTING AND INFORMATION MANAGEMENT
Affiliation1.Kunming University of Science and Technology
2.University of Macau
Recommended Citation
GB/T 7714
Ning Zhao,Zhaotong Lian. A queueing-inventory system with two classes of customers[J]. International Journal of Production Economics,2011,129(1):225-231.
APA Ning Zhao,&Zhaotong Lian.(2011).A queueing-inventory system with two classes of customers.International Journal of Production Economics,129(1),225-231.
MLA Ning Zhao,et al."A queueing-inventory system with two classes of customers".International Journal of Production Economics 129.1(2011):225-231.
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