Stochastic linear optimisation of an MPMP production planning model
The subject of this paper is to study a realistic planning environment for a multi-product multi-period problem with stochastic demand. We develop here a new demand stochastic LP model based mainly on the two-stage deterministic equivalent problem. In this paper, the normally distributed stochastic...
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Published in | International journal of production economics Vol. 55; no. 1; pp. 87 - 96 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier B.V
08.06.1998
Elsevier Science Elsevier Elsevier Sequoia S.A |
Series | International Journal of Production Economics |
Subjects | |
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Abstract | The subject of this paper is to study a realistic planning environment for a multi-product multi-period problem with stochastic demand. We develop here a new demand stochastic LP model based mainly on the two-stage deterministic equivalent problem. In this paper, the normally distributed stochastic demand is approximated by a discrete approximation method. |
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AbstractList | A realistic planning environment for a multi-product multi-period problem with stochastic demand is examined. A new demand stochastic LP model based mainly on the 2-stage deterministic equivalent problem is developed. The normally distributed stochastic demand is approximated by a discrete approximation method. The subject of this paper is to study a realistic planning environment for a multi-product multi-period problem with stochastic demand. We develop here a new demand stochastic LP model based mainly on the two-stage deterministic equivalent problem. In this paper, the normally distributed stochastic demand is approximated by a discrete approximation method. |
Author | Akif Bakir, M. Byrne, Mike D. |
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Keywords | Stochastic Linear Optimisation Multi-product multi-period problem LP model Approximate method Production planning Linear programming Profit Experimental study Multiple production Stochastic programming |
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References_xml | – reference: D. Walkup, R. Wets, Stochastic programs with recourse: special forms, in: H. Kuhn (Ed.), Proceedings of Princeton Symposium on Mathematical Programming, Princeton University Press, 1970, pp. 139–162. – volume: 4 start-page: 39 year: 1983 end-page: 48 ident: BIB3 article-title: A comparasion of dynamic lot sizing rules for use in a single stage MRP system with demand uncertainity publication-title: International Journal of Operations and Production Management – year: 1976 ident: BIB7 publication-title: Stochastic Linear Programming – volume: 15 start-page: 1299 year: 1967 end-page: 1314 ident: BIB9 article-title: Stochastic programs with recourse publication-title: SIAM Journal of Applied Mathematics – volume: 11 start-page: 72 year: 1991 end-page: 80 ident: BIB1 article-title: A comparative study of three lot sizing methods for the case of Fuzzy demands publication-title: International Journall of Operations and Production Management – reference: Y. Ermoliev, R.J.-B. Wets, Stochastic programming, an introduction, in: Y. Ermoliev, R. Wets (Eds.), Numerical Techniques for Stochastic Optimization, Springer, USA, 1988. – reference: G. Tintner, Stochastic linear programming with applications to agricultural economics, in: H.A. Antiosiewicz (Ed.), Proceedings of the 2nd Symposium Linear Prog. 1955, pp. 197–228. – reference: E.M.L. Beale, J.J.H. Forrest, C.J. Taylor, Multi-time-period stochastic programming, in: M.A.H. 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Snippet | The subject of this paper is to study a realistic planning environment for a multi-product multi-period problem with stochastic demand. We develop here a new... A realistic planning environment for a multi-product multi-period problem with stochastic demand is examined. A new demand stochastic LP model based mainly on... |
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SubjectTerms | Applied sciences Exact sciences and technology Linear programming LP model Multi-product multi-period problem Operational research and scientific management Operational research. Management science Optimization Planning. Forecasting Production planning Statistical analysis Stochastic Linear Optimisation Stochastic models Studies |
Title | Stochastic linear optimisation of an MPMP production planning model |
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