A General Heuristic for Production Planning Problems

Published Online:https://doi.org/10.1287/ijoc.1030.0042

References

  • Arkin E., Joneja D., Roundy R. Computational complexity of uncapacitated multi-echelon production planning problems. Oper. Res. Lett. (1989) 8:61–66CrossrefGoogle Scholar
  • Belvaux G. Modelling and solving lot-sizing problems by mixed integer programming. (1999) . Ph.D. thesis, Faculté des Sciences Appliquées, Université Catholique de Louvain, Louvain-la-Neuve, BelgiumGoogle Scholar
  • Belvaux G., Wolsey L. A. Lotsizelib: A library of lot-sizing models and matrices. (1998) . http://www.core.ucl.ac.be/wolsey/Lotsizel.htmGoogle Scholar
  • Belvaux G., Wolsey L. A. bc-prod: A specialized branch-and-cut system for lot-sizing problems. Management Sci. (2000) 46:724–738LinkGoogle Scholar
  • Bixby R. E., Ceria S., McZeal C. M., Savelsbergh M. W. P. An updated mixed integer programming library: MIPLIB 3.0. Optima (1998) 58:12–15Problems available at http://www.caam.rice.edu/~bixby/miplib/miplib.htmlGoogle Scholar
  • Clark A. J., Scarf H. Optimal policies for multi-echelon inventory problems. Management Sci. (1960) 6:475–490LinkGoogle Scholar
  • Constantino M. A polyhedral approach to production planning models: Start-up costs and times, and lower bounds on prodution. (1995) . Ph.D. thesis, Faculté des Sciences, Université Catholique de Louvain, Louvain-la-Neuve, BelgiumGoogle Scholar
  • Constantino M. A cutting plane approach to capacitated lot-sizing with startup costs. Math. Programming (1996) 75:353–376CrossrefGoogle Scholar
  • Constantino M. Lower bounds in lot-sizing models: A polyhedral study. Math. Oper. Res. (1998) 23:101–118LinkGoogle Scholar
  • Cordier C. Development and experimentation with a branch & cut system for mixed integer programming. (1999) . Ph.D. thesis, Faculté des Sciences Appliquées, Université Catholique de Louvain, Louvain-la-Neuve, BelgiumGoogle Scholar
  • Dash AssociatesXPRESS-MP Optimisation Subroutine Library, Reference Manual, Release 11 (1999a) (Blisworth House, Blisworth, Northants NN73BX, U.K) Google Scholar
  • Dash AssociatesXPRESS-MP, Reference Manual, Release 11 (1999b) (Blisworth House, Blisworth, Northants NN73BX, U.K) Google Scholar
  • Guisewite G. M., Pardalos P. Minimum concave-cost network flow problems. Ann. Oper. Res. (1990) 25:75–100CrossrefGoogle Scholar
  • Harrison T. P., Lewis H. S. Lot sizing in serial assembly systems with multiple constrained resources. Management Sci. (1996) 42:19–36LinkGoogle Scholar
  • Hochbaum D., Segev A. Analysis of a flow problem with fixed charges. Networks (1989) 19:291–312CrossrefGoogle Scholar
  • Katok E., Lewis H. S., Harrison T. P. Lot sizing in general assembly systems with setup costs, setup times, and multiple constrained resources. Management Sci. (1998) 44:859–877LinkGoogle Scholar
  • Kim D., Pardalos P. M. A solution approach to the fixed charge network flow problem using a dynamic slope scaling procedure. Oper. Res. Lett. (1999) 24:195–203CrossrefGoogle Scholar
  • Klingman D., Napier A., Stutz J. Netgen: A program for generating large scale capacitated assignment, transportation, and minimum-cost flow network problems. Management Sci. (1974) 20:814–820LinkGoogle Scholar
  • Koch T., Martin A. Solving Steiner tree problems in graphs to optimality. Networks (1998) 32:207–232CrossrefGoogle Scholar
  • Koch T., Martin A., Voss S. SteinLib: An updated library on Steiner tree problems in graphs. (2000) . ZIB-Report 00-37, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Berlin, Germany. Problems available at http://elib.zib.de/steinlibGoogle Scholar
  • Kuik R., Salomon M., van Wassenhove L. N. Batching decisions: Structure and models. Eur. J. Oper. Res. (1994) 75:243–263CrossrefGoogle Scholar
  • Maes J., McClain J. O., van Wassenhove L. N. Multilevel capacitated lotsizing complexity and lp-based heuristics. Eur. J. Oper. Res. (1991) 53:131–148CrossrefGoogle Scholar
  • Mehlhorn K., Näher S., Seel M., Uhrig C.The LEDA User Manual, Version 4.1 (2000) . http://www.mpi-sb.mpg.de/LEDA/MANUAL/MANUAL.htmlGoogle Scholar
  • Meyr H. Simultaneous lotsizing and scheduling by combining local search with dual reoptimization. Eur. J. Oper. Res. (2000) 120:311–326CrossrefGoogle Scholar
  • Miller A. J., Nemhauser G. L., Savelsbergh M. W. P. Solving multi-item capacitated lot-sizing problems with setup times by branch-and-cut. (2000) . CORE DP 2000/39, CORE, Université Catholique de Louvain, Louvain-la-Neuve, BelgiumGoogle Scholar
  • Ortega F., Wolsey L. A. A branch-and-cut algorithm for the single commodity uncapacitated fixed charge network flow problem. Networks (2003) 41:143–158CrossrefGoogle Scholar
  • Pochet Y., Wolsey L. A. Solving multi-item lot-sizing problems using strong cutting planes. Management Sci. (1991) 37:53–67LinkGoogle Scholar
  • Pochet Y., Wolsey L. A., Cook W., Lovasz L., Seymour P. Algorithms and reformulations for lot sizing problems. DIMACS Ser. Discrete Math. Comput. Sci. (1995) (American Mathematical Society, Providence, RI) 245–293No. 20CrossrefGoogle Scholar
  • Simpson N. C., Erenguc S. S. Production planning in multiple stage manufacturing environments with joint costs, limited resources and set-up times. (1998) . Technical report, Department of Management Science and Systems, University of Buffalo, Buffalo, NYGoogle Scholar
  • Tempelmeier H., Derstroff M. A lagrangean-based heuristic for dynamic multilevel multi-item constrained lotsizing with setup times. Management Sci. (1996) 42:738–757LinkGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.