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Modelling Set-up Times Overlapping Two Periods in the Proportional Lot-Sizing Problem with Identical Parallel Machines

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Języki publikacji
EN
Abstrakty
EN
This paper presents a new mixed integer programming model for the Proportional Lot-Sizing Problem (PLSP) with identical parallel machines and set-up times overlapping two periods. The proposed model assumes constant period length and explicitly calculates the distribution of set-up operations among periods. The presented results of computational experiments with standard mip methods prove that the untying set-ups from period borders enables the reduction of the total costs in optimal solutions.
Rocznik
Strony
43--50
Opis fizyczny
Bibliogr. 13 poz., tab., wykr.
Twórcy
  • AGH University of Science and Technology, Faculty of Management, Department of Operations Research and Information Technology, Krakow, Poland
Bibliografia
  • 1. Belvaux G., Wolsey L.A., 2001. Modelling Practical Lot-Sizing Problems as Mixed-Integer Programs, Management Science, 47(7), pp. 993–1007.
  • 2. Blocher J.D., Chand S., Sengupta K., 1999. The changeover scheduling problem with time and cost considerations: Analytical results and a forward algorithm, Operations Research, 47, pp. 559–569.
  • 3. Cattrysse D., Salomon M., Kuik R., van Wassenhove L., 1993. A dual ascent and column generation heuristic for the discrete lotsizing and scheduling problem with setup times, Management Science, 39, pp. 477–486.
  • 4. Drexl A., Haase K., 1995. Proportional lotsizing and scheduling, International Journal of Production Economics, 40, pp. 73–87.
  • 5. Drexl A., Kimms A., 1997. Lot sizing and scheduling – survey and extensions, European Journal Operational Research, 99, pp. 221–235.
  • 6. Haase K., 1994. Lotsizing and scheduling for production planning. No. 408 Lecture Notes in Economics and Mathematical Systems, Springer-Verlag.
  • 7. Kaczmarczyk W., 2009. Modelling Multi-Period Set-up Times in the Proportional Lot-Sizing Problem, Decision Making in Manufacturing and Services, 3, pp. 15–35.
  • 8. Kaczmarczyk W., 2011. Proportional lot-sizing and scheduling problem with identical parallel machines, International Journal of Production Research, 49(9), pp. 2605–2623.
  • 9. Karmarkar U.S., Schrage L., 1985. The Deterministic Dynamic Product Cycling Problem. Operations Research, 33(2), pp. 326–345.
  • 10. Kimms A., Drexl A., 1998. Proportional lotsizing and scheduling: some extensions, Networks, 32(2), pp. 85–101.
  • 11. Suerie C., 2006. Modeling of period overlapping setup times, European Journal of Operational Research, 174(2), pp 874–886.
  • 12. Wolsey L.A., 1989. Uncapacitated Lot-Sizing Problems With Start-Up Costs, Operations Research, 37(5), pp. 741–747.
  • 13. Wolsey L.A., 2002. Solving Multi-Item Lot-Sizing Problems with an MIP Solver Using Classification and Reformulation, Management Science, 48(12), pp. 1587–1602.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-bf8cd7f3-2816-4a72-8554-1561914fc879
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