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Modeling and analysis of multiobjective lot splitting for N‐product M‐machine flowshop lines

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  • Yossi Bukchin
  • Michael Masin
  • Rinat Kirshner

Abstract

Lot splitting is a new approach for improving productivity by dividing production lots into sublots. This approach enables accelerating production flow, reducing lead‐time and increasing the utilization of organization resources. Most of the lot splitting models in the literature have addressed a single objective problem, usually the makespan or flowtime objectives. Simultaneous minimization of these two objectives has rarely been addressed in the literature despite of its high relevancy to most industrial environments. This work aims at solving a multiobjective lot splitting problem for multiple products in a flowshop environment. Tight mixed‐integer linear programming (MILP) formulations for minimizing the makespan and flowtime are presented. Then, the MinMax solution, which takes both objectives into consideration, is defined and suggested as an alternative objective. By solving the MILP model, it was found that minimizing one objective results in an average loss of about 15% in the other objective. The MinMax solution, on the other hand, results in an average loss of 4.6% from the furthest objective and 2.5% from the closest objective. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010

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  • Yossi Bukchin & Michael Masin & Rinat Kirshner, 2010. "Modeling and analysis of multiobjective lot splitting for N‐product M‐machine flowshop lines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(4), pages 354-366, June.
    • Handle: RePEc:wly:navres:v:57:y:2010:i:4:p:354-366
    DOI: 10.1002/nav.20409
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    1. Vickson, R. G., 1995. "Optimal lot streaming for multiple products in a two-machine flow shop," European Journal of Operational Research, Elsevier, vol. 85(3), pages 556-575, September.
    2. Rajendran, Chandrasekharan & Ziegler, Hans, 2003. "Scheduling to minimize the sum of weighted flowtime and weighted tardiness of jobs in a flowshop with sequence-dependent setup times," European Journal of Operational Research, Elsevier, vol. 149(3), pages 513-522, September.
    3. Sen, Alper & Topaloglu, Engin & Benli, Omer S., 1998. "Optimal streaming of a single job in a two-stage flow shop," European Journal of Operational Research, Elsevier, vol. 110(1), pages 42-62, October.
    4. Kalir, Adar A. & Sarin, Subhash C., 2001. "A near-optimal heuristic for the sequencing problem in multiple-batch flow-shops with small equal sublots," Omega, Elsevier, vol. 29(6), pages 577-584, December.
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