Double Sources Queuing-Inventory System with Hybrid Replenishment Policy
A hybrid replenishment policy in double sources queuing-inventory system is proposed. If the inventory level drops to the reorder point s, then a regular order of the fixed volume <i>Q</i> = <i>S</i> − <i>s</i> is generated to a slow and cheap source, where S deno...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-07-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/14/2423 |
| _version_ | 1797445504955580416 |
|---|---|
| author | Agassi Melikov Ramil Mirzayev Sajeev S. Nair |
| author_facet | Agassi Melikov Ramil Mirzayev Sajeev S. Nair |
| author_sort | Agassi Melikov |
| collection | DOAJ |
| description | A hybrid replenishment policy in double sources queuing-inventory system is proposed. If the inventory level drops to the reorder point s, then a regular order of the fixed volume <i>Q</i> = <i>S</i> − <i>s</i> is generated to a slow and cheap source, where S denotes the maximum size of the system’s warehouse. If the inventory level falls below a certain threshold value <i>r</i>, where <i>r</i> < <i>s</i>, then the system instantly cancels the regular order and generates an emergency order to a fast and expensive source where the replenishment quantity should be able to bring the inventory level back to S at the replenishment epoch. In addition to consuming customers, the system also receives destructive customers that do not require inventory but destroy them. The stability condition for the system under study is found, steady-state probabilities are calculated, and formulas for finding performance measures are proposed. The problem of minimizing the total cost of the system under the proposed hybrid replenishment policy is solved by choosing the appropriate values of the order point and the threshold value. |
| first_indexed | 2024-03-09T13:26:45Z |
| format | Article |
| id | doaj.art-e49966913d9a48189178c3070b100512 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T13:26:45Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-e49966913d9a48189178c3070b1005122023-11-30T21:23:34ZengMDPI AGMathematics2227-73902022-07-011014242310.3390/math10142423Double Sources Queuing-Inventory System with Hybrid Replenishment PolicyAgassi Melikov0Ramil Mirzayev1Sajeev S. Nair2Institute of Control Systems, National Academy of Science, AZ 1141 Baku, AzerbaijanFaculty of Engineering, National Aviation Academy, AZ 1045 Baku, AzerbaijanDepartment of Mathematics, Government Engineering College, Thrissur 680009, IndiaA hybrid replenishment policy in double sources queuing-inventory system is proposed. If the inventory level drops to the reorder point s, then a regular order of the fixed volume <i>Q</i> = <i>S</i> − <i>s</i> is generated to a slow and cheap source, where S denotes the maximum size of the system’s warehouse. If the inventory level falls below a certain threshold value <i>r</i>, where <i>r</i> < <i>s</i>, then the system instantly cancels the regular order and generates an emergency order to a fast and expensive source where the replenishment quantity should be able to bring the inventory level back to S at the replenishment epoch. In addition to consuming customers, the system also receives destructive customers that do not require inventory but destroy them. The stability condition for the system under study is found, steady-state probabilities are calculated, and formulas for finding performance measures are proposed. The problem of minimizing the total cost of the system under the proposed hybrid replenishment policy is solved by choosing the appropriate values of the order point and the threshold value.https://www.mdpi.com/2227-7390/10/14/2423queuing-inventory systemdouble sourceshybrid replenishment policymatrix-geometric method |
| spellingShingle | Agassi Melikov Ramil Mirzayev Sajeev S. Nair Double Sources Queuing-Inventory System with Hybrid Replenishment Policy Mathematics queuing-inventory system double sources hybrid replenishment policy matrix-geometric method |
| title | Double Sources Queuing-Inventory System with Hybrid Replenishment Policy |
| title_full | Double Sources Queuing-Inventory System with Hybrid Replenishment Policy |
| title_fullStr | Double Sources Queuing-Inventory System with Hybrid Replenishment Policy |
| title_full_unstemmed | Double Sources Queuing-Inventory System with Hybrid Replenishment Policy |
| title_short | Double Sources Queuing-Inventory System with Hybrid Replenishment Policy |
| title_sort | double sources queuing inventory system with hybrid replenishment policy |
| topic | queuing-inventory system double sources hybrid replenishment policy matrix-geometric method |
| url | https://www.mdpi.com/2227-7390/10/14/2423 |
| work_keys_str_mv | AT agassimelikov doublesourcesqueuinginventorysystemwithhybridreplenishmentpolicy AT ramilmirzayev doublesourcesqueuinginventorysystemwithhybridreplenishmentpolicy AT sajeevsnair doublesourcesqueuinginventorysystemwithhybridreplenishmentpolicy |