A series-type multistage production system with random demand
We propose a mathematical model which considers the series-type product structure with n−1 predecessors. Our objective is to obtain the optimal production functions, in the planning horizon [0,T], based on the assumptions (1) that the cost of production unit is a linear function of production quanti...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203112100 |
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| _version_ | 1850177957972148224 |
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| author | Ying-Chieh Chen |
| author_facet | Ying-Chieh Chen |
| author_sort | Ying-Chieh Chen |
| collection | DOAJ |
| description | We propose a mathematical model which considers the
series-type product structure with n−1 predecessors. Our objective is to obtain the optimal production functions, in the planning horizon [0,T], based on the assumptions (1) that the cost of production unit is a linear function of production quantity in a time unit, (2) that sales of finished goods occur at the end of planning horizon, and (3) that product demand is a random variable. Then the phenomenon of optimal solution is discussed. |
| format | Article |
| id | doaj-art-bce2e5c1a8a3485ea7ded61d11d48cb6 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bce2e5c1a8a3485ea7ded61d11d48cb62025-08-20T02:18:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003402567258110.1155/S0161171203112100A series-type multistage production system with random demandYing-Chieh Chen0Department of Applied Statistics and Information Science, Ming Chuan University, 250 Chung Shan North Road, Section 5, Shihlin District, Taipei 111, TaiwanWe propose a mathematical model which considers the series-type product structure with n−1 predecessors. Our objective is to obtain the optimal production functions, in the planning horizon [0,T], based on the assumptions (1) that the cost of production unit is a linear function of production quantity in a time unit, (2) that sales of finished goods occur at the end of planning horizon, and (3) that product demand is a random variable. Then the phenomenon of optimal solution is discussed.http://dx.doi.org/10.1155/S0161171203112100 |
| spellingShingle | Ying-Chieh Chen A series-type multistage production system with random demand International Journal of Mathematics and Mathematical Sciences |
| title | A series-type multistage production system with random demand |
| title_full | A series-type multistage production system with random demand |
| title_fullStr | A series-type multistage production system with random demand |
| title_full_unstemmed | A series-type multistage production system with random demand |
| title_short | A series-type multistage production system with random demand |
| title_sort | series type multistage production system with random demand |
| url | http://dx.doi.org/10.1155/S0161171203112100 |
| work_keys_str_mv | AT yingchiehchen aseriestypemultistageproductionsystemwithrandomdemand AT yingchiehchen seriestypemultistageproductionsystemwithrandomdemand |