Analysis of the Queueing-Inventory System with Impatient Customers and Mixed Sales
A queueing-inventory system with server’s vacations and impatient customers is investigated. Continuous review s,S policy is considered for the queueing-inventory system. The server leaves for a vacation once the inventory is zero. The customer arrived waits for service with a probability p or is lo...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/2333965 |
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| Summary: | A queueing-inventory system with server’s vacations and impatient customers is investigated. Continuous review s,S policy is considered for the queueing-inventory system. The server leaves for a vacation once the inventory is zero. The customer arrived waits for service with a probability p or is lost forever with a probability 1−p when the server is off due to a vacation. Customers are impatient during period when the customer is waiting for service in the queue or when the server is off due to a vacation. The matrix geometric solution of the steady-state probability is obtained using the method of truncated approximation. Furthermore, some performance measures are obtained using the steady-state probability. Finally, the effect of system parameters on the performance measures, the optimal policy and the optimal cost are presented by numerical examples. |
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| ISSN: | 1607-887X |