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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/2333965 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562516796899328 |
|---|---|
| author | Yuying Zhang Dequan Yue Li Sun Jinpan Zuo |
| author_facet | Yuying Zhang Dequan Yue Li Sun Jinpan Zuo |
| author_sort | Yuying Zhang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-225d2195c9d44e68afb050ee1f6bb9ae |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-225d2195c9d44e68afb050ee1f6bb9ae2025-02-03T01:22:28ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/2333965Analysis of the Queueing-Inventory System with Impatient Customers and Mixed SalesYuying Zhang0Dequan Yue1Li Sun2Jinpan Zuo3School of Economics and ManagementSchool of ScienceSchool of Economics and ManagementSchool of Economics and ManagementA 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.http://dx.doi.org/10.1155/2022/2333965 |
| spellingShingle | Yuying Zhang Dequan Yue Li Sun Jinpan Zuo Analysis of the Queueing-Inventory System with Impatient Customers and Mixed Sales Discrete Dynamics in Nature and Society |
| title | Analysis of the Queueing-Inventory System with Impatient Customers and Mixed Sales |
| title_full | Analysis of the Queueing-Inventory System with Impatient Customers and Mixed Sales |
| title_fullStr | Analysis of the Queueing-Inventory System with Impatient Customers and Mixed Sales |
| title_full_unstemmed | Analysis of the Queueing-Inventory System with Impatient Customers and Mixed Sales |
| title_short | Analysis of the Queueing-Inventory System with Impatient Customers and Mixed Sales |
| title_sort | analysis of the queueing inventory system with impatient customers and mixed sales |
| url | http://dx.doi.org/10.1155/2022/2333965 |
| work_keys_str_mv | AT yuyingzhang analysisofthequeueinginventorysystemwithimpatientcustomersandmixedsales AT dequanyue analysisofthequeueinginventorysystemwithimpatientcustomersandmixedsales AT lisun analysisofthequeueinginventorysystemwithimpatientcustomersandmixedsales AT jinpanzuo analysisofthequeueinginventorysystemwithimpatientcustomersandmixedsales |