Optimization on Production-Inventory Problem with Multistage and Varying Demand
This paper addresses production-inventory problem for the manufacturer by explicitly taking into account multistage and varying demand. A nonlinear hybrid integer constrained optimization is modeled to minimize the total cost including setup cost and holding cost in the planning horizon. A genetic a...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/648262 |
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| _version_ | 1832563903898320896 |
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| author | Duan Gang Chen Li Li Yin-Zhen Song Jie-Yan Akhtar Tanweer |
| author_facet | Duan Gang Chen Li Li Yin-Zhen Song Jie-Yan Akhtar Tanweer |
| author_sort | Duan Gang |
| collection | DOAJ |
| description | This paper addresses production-inventory problem for the manufacturer by explicitly taking into account multistage and varying demand. A nonlinear hybrid integer constrained optimization is modeled to minimize the total cost including setup cost and holding cost in the planning horizon. A genetic algorithm is developed for the problem. A series of computational experiments with different sizes is used to demonstrate the efficiency and universality of the genetic algorithm in terms of the running time and solution quality. At last the combination of crossover probability and mutation probability is tested for all problems and a law is found for large size. |
| format | Article |
| id | doaj-art-4422e0ccde314d2dafb7d483e04689ea |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4422e0ccde314d2dafb7d483e04689ea2025-02-03T01:12:10ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/648262648262Optimization on Production-Inventory Problem with Multistage and Varying DemandDuan Gang0Chen Li1Li Yin-Zhen2Song Jie-Yan3Akhtar Tanweer4School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, ChinaDepartment of Mathematics, Lanzhou City University, Lanzhou 730070, ChinaSchool of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, ChinaSchool of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, ChinaSchool of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, ChinaThis paper addresses production-inventory problem for the manufacturer by explicitly taking into account multistage and varying demand. A nonlinear hybrid integer constrained optimization is modeled to minimize the total cost including setup cost and holding cost in the planning horizon. A genetic algorithm is developed for the problem. A series of computational experiments with different sizes is used to demonstrate the efficiency and universality of the genetic algorithm in terms of the running time and solution quality. At last the combination of crossover probability and mutation probability is tested for all problems and a law is found for large size.http://dx.doi.org/10.1155/2012/648262 |
| spellingShingle | Duan Gang Chen Li Li Yin-Zhen Song Jie-Yan Akhtar Tanweer Optimization on Production-Inventory Problem with Multistage and Varying Demand Journal of Applied Mathematics |
| title | Optimization on Production-Inventory Problem with Multistage and Varying Demand |
| title_full | Optimization on Production-Inventory Problem with Multistage and Varying Demand |
| title_fullStr | Optimization on Production-Inventory Problem with Multistage and Varying Demand |
| title_full_unstemmed | Optimization on Production-Inventory Problem with Multistage and Varying Demand |
| title_short | Optimization on Production-Inventory Problem with Multistage and Varying Demand |
| title_sort | optimization on production inventory problem with multistage and varying demand |
| url | http://dx.doi.org/10.1155/2012/648262 |
| work_keys_str_mv | AT duangang optimizationonproductioninventoryproblemwithmultistageandvaryingdemand AT chenli optimizationonproductioninventoryproblemwithmultistageandvaryingdemand AT liyinzhen optimizationonproductioninventoryproblemwithmultistageandvaryingdemand AT songjieyan optimizationonproductioninventoryproblemwithmultistageandvaryingdemand AT akhtartanweer optimizationonproductioninventoryproblemwithmultistageandvaryingdemand |