Theoretical Paper

Journal of the Operational Research Society (2006) 57, 1231–1240. doi:10.1057/palgrave.jors.2602094 Published online 30 November 2005

A Lagrangean heuristic algorithm for disassembly scheduling with capacity constraints

H-J Kim1, D-H Lee2 and P Xirouchakis1

  1. 1Swiss Federal Institute of Technology (EPFL), Lausanne, Switzerland
  2. 2Hanyang University, Sungdong-gu, Seoul, Korea

Correspondence: H-J Kim, Institute of Production and Robotics (STI-IPR-LICP), Swiss Federal Institute of Technology (EPFL), Lausanne CH-1015 Switzerland. E-mail: hwa-joong.kim@epfl.ch

Received 18 November 2004; Accepted 25 August 2005; Published online 30 November 2005.

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Abstract

This paper considers the problem of determining the disassembly schedule (quantity and timing) of products in order to satisfy the demand of their parts or components over a finite planning horizon. The objective is to minimize the sum of set-up, disassembly operation, and inventory holding costs. As an extension of the uncapacitated versions of the problem, we consider the resource capacity restrictions over the planning horizon. An integer program is suggested to describe the problem mathematically, and to solve the problem, a heuristic is developed using a Lagrangean relaxation technique together with a method to find a good feasible solution while considering the trade-offs among different costs. The effectiveness of the algorithm is tested on a number of randomly generated problems and the test results show that the heuristic suggested in this paper can give near optimal solutions within a short amount of computation time.

Keywords:

environmental studies, production and scheduling, heuristics

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