An algorithm using Lagrangean relaxation and decomposition for solving a capacitated lot-sizing problem
by Chun-Hung Cheng, Manohar S. Madan, Angappa Gunasekaran, Ka-Yun Yip
International Journal of Mathematics in Operational Research (IJMOR), Vol. 2, No. 2, 2010

Abstract: In this research, we formulate and solve a type of the capacitated lot-sizing (CLS) problem. This problem is commonly found in many manufacturing settings. Unlike a typical formulation, our formulation explicitly considers different types of production capacities such as regular time and overtime. We develop a heuristic based on Lagrangean relaxation with a decomposition scheme to solve this CLS problem. Computational results show that our algorithm gives very good results while comparing to lower bounds.

Online publication date: Thu, 07-Jan-2010

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