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An algorithm using Lagrangean relaxation and decomposition for solving a capacitated lot-sizing problem

Author

Listed:
  • Chun-Hung Cheng
  • Manohar S. Madan
  • Angappa Gunasekaran
  • Ka-Yun Yip

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.

Suggested Citation

  • Chun-Hung Cheng & Manohar S. Madan & Angappa Gunasekaran & Ka-Yun Yip, 2010. "An algorithm using Lagrangean relaxation and decomposition for solving a capacitated lot-sizing problem," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(2), pages 205-232.
    • Handle: RePEc:ids:ijmore:v:2:y:2010:i:2:p:205-232
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