Developing a New Bi-Objective Functions Model for a Hierarchical Location-Allocation Problem Using the Queuing Theory and Mathematical Programming
In this research, a hierarchical location-allocation problem is modeled in a queue framework. The queue model is considered as M/M/1/k, in which system capacity is finite, equals to k. This is the main contribution of the current research. Customer's enters to the system in order to find the se...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Islamic Azad University, Qazvin Branch
2019-07-01
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| Series: | Journal of Optimization in Industrial Engineering |
| Subjects: | |
| Online Access: | http://www.qjie.ir/article_543781_46c4df499206d92e4d38824dd7b902a7.pdf |
| _version_ | 1811212734480515072 |
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| author | Parham Azimi Abulfazl Asadollahi |
| author_facet | Parham Azimi Abulfazl Asadollahi |
| author_sort | Parham Azimi |
| collection | DOAJ |
| description | In this research, a hierarchical location-allocation problem is modeled in a queue framework. The queue model is considered as M/M/1/k, in which system capacity is finite, equals to k. This is the main contribution of the current research. Customer's enters to the system in order to find the service according to a Poisson. In this problem, the hierarchical location-allocation model is considered in two levels. Also, the model has two objective functions: maximizing the total number of demand coverage and minimizing the waiting time of customers in queues to receive services. After modeling and verifying the validity of the presented model, it is solved using NSGA II and MOPSO meta-heuristics.<br /><br /> |
| first_indexed | 2024-04-12T05:34:08Z |
| format | Article |
| id | doaj.art-158d5ed6150b447c8e18a5ee2c791da3 |
| institution | Directory Open Access Journal |
| issn | 2251-9904 2423-3935 |
| language | English |
| last_indexed | 2024-04-12T05:34:08Z |
| publishDate | 2019-07-01 |
| publisher | Islamic Azad University, Qazvin Branch |
| record_format | Article |
| series | Journal of Optimization in Industrial Engineering |
| spelling | doaj.art-158d5ed6150b447c8e18a5ee2c791da32022-12-22T03:45:55ZengIslamic Azad University, Qazvin BranchJournal of Optimization in Industrial Engineering2251-99042423-39352019-07-0112214915410.22094/joie.2018.350.0543781Developing a New Bi-Objective Functions Model for a Hierarchical Location-Allocation Problem Using the Queuing Theory and Mathematical ProgrammingParham Azimi0Abulfazl Asadollahi1Department of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, IranDepartment of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, IranIn this research, a hierarchical location-allocation problem is modeled in a queue framework. The queue model is considered as M/M/1/k, in which system capacity is finite, equals to k. This is the main contribution of the current research. Customer's enters to the system in order to find the service according to a Poisson. In this problem, the hierarchical location-allocation model is considered in two levels. Also, the model has two objective functions: maximizing the total number of demand coverage and minimizing the waiting time of customers in queues to receive services. After modeling and verifying the validity of the presented model, it is solved using NSGA II and MOPSO meta-heuristics.<br /><br />http://www.qjie.ir/article_543781_46c4df499206d92e4d38824dd7b902a7.pdfLocation-Allocation ProblemsHierarchical ModelsM/M/m Queuing ModelMulti-objective programmingTaguchi methodNSGA-II Algorithm |
| spellingShingle | Parham Azimi Abulfazl Asadollahi Developing a New Bi-Objective Functions Model for a Hierarchical Location-Allocation Problem Using the Queuing Theory and Mathematical Programming Journal of Optimization in Industrial Engineering Location-Allocation Problems Hierarchical Models M/M/m Queuing Model Multi-objective programming Taguchi method NSGA-II Algorithm |
| title | Developing a New Bi-Objective Functions Model for a Hierarchical Location-Allocation Problem Using the Queuing Theory and Mathematical Programming |
| title_full | Developing a New Bi-Objective Functions Model for a Hierarchical Location-Allocation Problem Using the Queuing Theory and Mathematical Programming |
| title_fullStr | Developing a New Bi-Objective Functions Model for a Hierarchical Location-Allocation Problem Using the Queuing Theory and Mathematical Programming |
| title_full_unstemmed | Developing a New Bi-Objective Functions Model for a Hierarchical Location-Allocation Problem Using the Queuing Theory and Mathematical Programming |
| title_short | Developing a New Bi-Objective Functions Model for a Hierarchical Location-Allocation Problem Using the Queuing Theory and Mathematical Programming |
| title_sort | developing a new bi objective functions model for a hierarchical location allocation problem using the queuing theory and mathematical programming |
| topic | Location-Allocation Problems Hierarchical Models M/M/m Queuing Model Multi-objective programming Taguchi method NSGA-II Algorithm |
| url | http://www.qjie.ir/article_543781_46c4df499206d92e4d38824dd7b902a7.pdf |
| work_keys_str_mv | AT parhamazimi developinganewbiobjectivefunctionsmodelforahierarchicallocationallocationproblemusingthequeuingtheoryandmathematicalprogramming AT abulfazlasadollahi developinganewbiobjectivefunctionsmodelforahierarchicallocationallocationproblemusingthequeuingtheoryandmathematicalprogramming |