A Lagrangian relaxation approach to a coupled lot-sizing and cutting stock problem

被引:43
|
作者
Gramani, M. C. N. [1 ]
Franca, P. M. [2 ]
Arenales, M. N. [3 ]
机构
[1] Fac IBMEC SP, BR-04546042 Sao Paulo, Brazil
[2] Univ Estadual Paulista UNESP, FCT, Sao Paulo, Brazil
[3] Univ Sao Paulo, ICMC, BR-05508 Sao Paulo, Brazil
关键词
Lot-sizing; Cutting stock; Production planning; Mixed-integer programming; Lagrangian relaxation; OPTIMIZATION; INDUSTRY; MODEL;
D O I
10.1016/j.ijpe.2009.02.011
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Industrial production processes involving both lot-sizing and cutting stock problems are common in many industrial settings. However, they are usually treated in a separate way, which could lead to costly production plans. In this paper, a coupled mathematical model is formulated and a heuristic method based on Lagrangian relaxation is proposed. Computational results prove its effectiveness. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:219 / 227
页数:9
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