Uniqueness of solution of production control problem in a manufacturing system with degenerate demand
This paper studies the production inventory problem of minimizing the expected discounted present value of production cost control in a manufacturing system with degenerate stochastic demand.We establish the existence of a unique solution of the Hamilton-Jacobi-Bellman (HJB) equation associated with...
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2011
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my.uum.repo.106252014-04-21T01:58:41Z http://repo.uum.edu.my/10625/ Uniqueness of solution of production control problem in a manufacturing system with degenerate demand Baten, Md Azizul QA Mathematics This paper studies the production inventory problem of minimizing the expected discounted present value of production cost control in a manufacturing system with degenerate stochastic demand.We establish the existence of a unique solution of the Hamilton-Jacobi-Bellman (HJB) equation associated with this problem.The optimal control is given by a solution to the corresponding HJB equation. Springer US 2011 Article PeerReviewed Baten, Md Azizul (2011) Uniqueness of solution of production control problem in a manufacturing system with degenerate demand. Journal of Mathematical Sciences, 177 (3). pp. 329-344. ISSN 1072-3374 http://dx.doi.org/10.1007/s10958-011-0459-7 doi:10.1007/s10958-011-0459-7 |
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Universiti Utara Malaysia |
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Asia |
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Malaysia |
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Universiti Utara Malaysia |
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| topic |
QA Mathematics |
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QA Mathematics Baten, Md Azizul Uniqueness of solution of production control problem in a manufacturing system with degenerate demand |
| description |
This paper studies the production inventory problem of minimizing the expected discounted present value of production cost control in a manufacturing system with degenerate stochastic demand.We establish the existence of a unique solution of the Hamilton-Jacobi-Bellman (HJB) equation associated with this problem.The optimal control is given by a solution to the corresponding HJB equation. |
| format |
Article |
| author |
Baten, Md Azizul |
| author_facet |
Baten, Md Azizul |
| author_sort |
Baten, Md Azizul |
| title |
Uniqueness of solution of production control problem in a manufacturing system with degenerate demand |
| title_short |
Uniqueness of solution of production control problem in a manufacturing system with degenerate demand |
| title_full |
Uniqueness of solution of production control problem in a manufacturing system with degenerate demand |
| title_fullStr |
Uniqueness of solution of production control problem in a manufacturing system with degenerate demand |
| title_full_unstemmed |
Uniqueness of solution of production control problem in a manufacturing system with degenerate demand |
| title_sort |
uniqueness of solution of production control problem in a manufacturing system with degenerate demand |
| publisher |
Springer US |
| publishDate |
2011 |
| url |
http://repo.uum.edu.my/10625/ http://dx.doi.org/10.1007/s10958-011-0459-7 |
| _version_ |
1644280415784009728 |
| score |
13.251813 |