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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Hindawi Limited
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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doaj-bce2e5c1a8a3485ea7ded61d11d48cb62020-11-24T23:04:23ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ying-Chieh Chen |
| spellingShingle |
Ying-Chieh Chen A series-type multistage production system with random demand International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Ying-Chieh Chen |
| author_sort |
Ying-Chieh Chen |
| title |
A series-type multistage production system with random demand |
| title_short |
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_sort |
series-type multistage production system with random demand |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2003-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/S0161171203112100 |
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AT yingchiehchen aseriestypemultistageproductionsystemwithrandomdemand AT yingchiehchen seriestypemultistageproductionsystemwithrandomdemand |
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