An Enhanced TSP-Based Heuristic for Makespan Minimizationin a Flow Shop with Setup Times

  • Authors:
  • Roger Z. Ríos-Mercado;Jonathan F. Bard

  • Affiliations:
  • Department of Industrial Engineering, Texas A&M University, College Station, Texas 77843–3131;Graduate Program in Operations Research, University of Texas, Austin, Texas 78712–1063

  • Venue:
  • Journal of Heuristics
  • Year:
  • 1999

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Abstract

This paperpresents an enhanced heuristic for minimizing the makespan ofthe flow shop scheduling problem with sequence-dependent setuptimes. The procedure transforms an instance of the problem intoan instance of the traveling salesman problem by introducinga cost function that penalizes for both large setup times andbad fitness of schedule. This hybrid cost function is an improvementover earlier approaches that penalized for setup times only,ignoring the flow shop aspect of the problem. To establish goodparameter values, each component of the heuristic was evaluatedcomputationally over a wide range of problem instances. In thetesting stage, an experimental comparison with a greedy randomizedadaptive search procedure revealed the conditions and data attributeswhere the proposed procedure works best.