A model for supply planning under lead time uncertainty
The paper is focused on the search of the optimal values of the planned lead times for the MRP method under lead time uncertainty. The problem is to find the planned lead times, which minimize the expected backlogging and holding costs. The aim of the paper is to give a mathematical formulation of t...
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Published in | International journal of production economics Vol. 78; no. 2; pp. 145 - 152 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier B.V
21.07.2002
Elsevier Elsevier Sequoia S.A |
Series | International Journal of Production Economics |
Subjects | |
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Abstract | The paper is focused on the search of the optimal values of the planned lead times for the MRP method under lead time uncertainty. The problem is to find the planned lead times, which minimize the expected backlogging and holding costs. The aim of the paper is to give a mathematical formulation of this single-level, multi-item, dynamic multi-period planning problem. For the case where lead time does not depend on the lot size and demand level is constant, an auxiliary Markov model is proposed. Some new formulations of optimal control policies are obtained using this Markov model. |
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AbstractList | The paper is focused on the search of the optimal values of the planned lead times for the MRP method under lead time uncertainty. The problem is to find the planned lead times, which minimize the expected backlogging and holding costs. The aim of the paper is to give a mathematical formulation of this single-level, multi-item, dynamic multi-period planning problem. For the case where lead time does not depend on the lot size and demand level is constant, an auxiliary Markov model is proposed. Some new formulations of optimal control policies are obtained using this Markov model. |
Author | Dolgui, Alexandre Ould-Louly, Mohamed-Aly |
Author_xml | – sequence: 1 givenname: Alexandre surname: Dolgui fullname: Dolgui, Alexandre email: dolgui@univ-troyes.fr – sequence: 2 givenname: Mohamed-Aly surname: Ould-Louly fullname: Ould-Louly, Mohamed-Aly |
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Cites_doi | 10.1016/S0925-5273(98)00141-8 10.1080/12460125.1995.10511659 10.1080/07408179408966592 10.1016/S0927-0507(05)80181-1 10.1002/1520-6750(199312)40:7<933::AID-NAV3220400706>3.0.CO;2-8 10.1016/S0927-0507(05)80191-4 10.1016/S0377-2217(97)00118-5 10.1080/15458830.1996.11770740 10.1023/A:1018506232008 |
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Keywords | Random lead time Supply planning Inventory control MRP method Markov model |
Language | English |
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References | A. Dolgui, Supply and production management for assembly systems with random yield times, in: P. Borne, M. Ksouri, A. El Kamel (Eds.), Proceedings of the Second IMACS/IEEE Conference CESA’98, Vol. 3, 1998, pp. 312–316. Gerchak, Wang, Yano (BIB11) 1994; 26 Ballou (BIB1) 1999 Dolgui, Portmann, Proth (BIB6) 1995; 4 Maloni, Benton (BIB2) 1997; 101 Chu, Proth, Xie (BIB5) 1993; 40 Lee, Nahmias (BIB12) 1993 Proth, Mauroy, Wardi, Chu, Xie (BIB10) 1997; 8 Grubbström, Tang (BIB4) 1999; 60–61 Dolgui, Portmann, Proth (BIB7) 1996 Baker (BIB3) 1993 Gurnani, Akella, Lehoczky (BIB9) 1996; 28 Grubbström (10.1016/S0925-5273(00)00180-8_BIB4) 1999; 60–61 10.1016/S0925-5273(00)00180-8_BIB8 Lee (10.1016/S0925-5273(00)00180-8_BIB12) 1993 Gerchak (10.1016/S0925-5273(00)00180-8_BIB11) 1994; 26 Ballou (10.1016/S0925-5273(00)00180-8_BIB1) 1999 Maloni (10.1016/S0925-5273(00)00180-8_BIB2) 1997; 101 Baker (10.1016/S0925-5273(00)00180-8_BIB3) 1993 Proth (10.1016/S0925-5273(00)00180-8_BIB10) 1997; 8 Chu (10.1016/S0925-5273(00)00180-8_BIB5) 1993; 40 Gurnani (10.1016/S0925-5273(00)00180-8_BIB9) 1996; 28 Dolgui (10.1016/S0925-5273(00)00180-8_BIB6) 1995; 4 Dolgui (10.1016/S0925-5273(00)00180-8_BIB7) 1996 |
References_xml | – volume: 101 start-page: 419 year: 1997 end-page: 429 ident: BIB2 article-title: Supply chain partnerships publication-title: European Journal of Operational Research contributor: fullname: Benton – start-page: 571 year: 1993 end-page: 627 ident: BIB3 article-title: Requirements planning publication-title: Handbooks in Operations Research and Management Science, Vol. 4, Logistics of Production and Inventory contributor: fullname: Baker – start-page: 519 year: 1996 end-page: 526 ident: BIB7 article-title: Acontrol model of the assembly manufacturing publication-title: System Modeling and Optimization, Proceedings of the 17th IFIP 7TC Conference contributor: fullname: Proth – year: 1999 ident: BIB1 publication-title: Business Logistics Management contributor: fullname: Ballou – volume: 28 start-page: 865 year: 1996 end-page: 878 ident: BIB9 article-title: Optimal order policies in assembly systems with random demand and random supplier delivery publication-title: IIE 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article-title: Single-product, single location models publication-title: Handbooks in Operations Research and Management Science, Vol. 4, Logistics of Production and Inventory contributor: fullname: Nahmias – volume: 60–61 start-page: 381 year: 1999 end-page: 387 ident: BIB4 article-title: Further development on safety stocks in an MRP system applying Laplace transforms and input–output analysts publication-title: International Journal of Production Economics contributor: fullname: Tang – volume: 60–61 start-page: 381 year: 1999 ident: 10.1016/S0925-5273(00)00180-8_BIB4 article-title: Further development on safety stocks in an MRP system applying Laplace transforms and input–output analysts publication-title: International Journal of Production Economics doi: 10.1016/S0925-5273(98)00141-8 contributor: fullname: Grubbström – volume: 4 start-page: 255 year: 1995 ident: 10.1016/S0925-5273(00)00180-8_BIB6 article-title: Planification de systèmes d’assemblage avec approvisionnement aléatoire en composants publication-title: Journal of Decision Systems doi: 10.1080/12460125.1995.10511659 contributor: fullname: Dolgui – volume: 26 start-page: 19 year: 1994 ident: 10.1016/S0925-5273(00)00180-8_BIB11 article-title: Lot sizing in assembly systems with random component yields publication-title: IIE Transactions doi: 10.1080/07408179408966592 contributor: fullname: Gerchak – start-page: 3 year: 1993 ident: 10.1016/S0925-5273(00)00180-8_BIB12 article-title: Single-product, single location models doi: 10.1016/S0927-0507(05)80181-1 contributor: fullname: Lee – volume: 40 start-page: 933 year: 1993 ident: 10.1016/S0925-5273(00)00180-8_BIB5 article-title: Supply management in assembly systems publication-title: Naval Research Logistics doi: 10.1002/1520-6750(199312)40:7<933::AID-NAV3220400706>3.0.CO;2-8 contributor: fullname: Chu – start-page: 571 year: 1993 ident: 10.1016/S0925-5273(00)00180-8_BIB3 article-title: Requirements planning doi: 10.1016/S0927-0507(05)80191-4 contributor: fullname: Baker – volume: 101 start-page: 419 year: 1997 ident: 10.1016/S0925-5273(00)00180-8_BIB2 article-title: Supply chain partnerships publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(97)00118-5 contributor: fullname: Maloni – volume: 28 start-page: 865 year: 1996 ident: 10.1016/S0925-5273(00)00180-8_BIB9 article-title: Optimal order policies in assembly systems with random demand and random supplier delivery publication-title: IIE Transactions doi: 10.1080/15458830.1996.11770740 contributor: fullname: Gurnani – year: 1999 ident: 10.1016/S0925-5273(00)00180-8_BIB1 contributor: fullname: Ballou – volume: 8 start-page: 385 year: 1997 ident: 10.1016/S0925-5273(00)00180-8_BIB10 article-title: Supply management for cost minimization in assembly systems with random component yield times publication-title: Journal of Intelligent Manufacturing doi: 10.1023/A:1018506232008 contributor: fullname: Proth – ident: 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SubjectTerms | Computer Science Inventory control Markov analysis Markov model Material requirements planning Mathematical models Modeling and Simulation MRP method Random lead time Studies Supply planning |
Title | A model for supply planning under lead time uncertainty |
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