A Production Inventory System with Service Time and Production Vacations
Autor: | Yaling Qin, Dequan Yue |
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Rok vydání: | 2019 |
Předmět: |
Service (business)
021103 operations research Operations research Computer science media_common.quotation_subject Stockout 0211 other engineering and technologies 02 engineering and technology Product (business) Control and Systems Engineering Joint probability distribution 0202 electrical engineering electronic engineering information engineering Production (economics) 020201 artificial intelligence & image processing Duration (project management) Function (engineering) Queue Information Systems media_common |
Zdroj: | Journal of Systems Science and Systems Engineering. 28:168-180 |
ISSN: | 1861-9576 1004-3756 |
DOI: | 10.1007/s11518-018-5402-8 |
Popis: | In this paper, we consider a production inventory system with service time and production vacations. Customers arrive in the system according to a Poisson process requiring service from a single server. The single production facility produces items according to an (s, S) policy, and it takes a vacation of random duration once the inventory level becomes (S. It is assumed that all arriving customers are lost during the stock out period. We first derive the stationary joint distribution of the queue length and the on-hand inventory level in product form. Then, we compute explicitly some performance measures, and develop a cost function based on these performance measures. Finally, some numerical results are presented. |
Databáze: | OpenAIRE |
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