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Linear and Mixed Integer Programming

In: Supply Chain Management and Advanced Planning

Author

Listed:
  • Hartmut Stadtler

    (University of Hamburg)

Abstract

Linear Programming (LP) LP (Linear programming) is one of the most famous optimization techniques introduced independently by Kantarowitsch in 1939 and by Dantzig in 1949 (Krekó 1973). LP is applicable in decision situations where quantities (variables) can take any real values only restricted by linear (in-) equalities, e.g. for representing capacity constraints. Still, LP has turned out to be very useful for many companies so far. LP is used in APS e.g. in Master Planning as well as in Distribution and Transport Planning. Very powerful solution algorithms have been developed (named solvers), solving LP models with thousands of variables and constraints within a few minutes on a personal computer.

Suggested Citation

  • Hartmut Stadtler, 2015. "Linear and Mixed Integer Programming," Springer Texts in Business and Economics, in: Hartmut Stadtler & Christoph Kilger & Herbert Meyr (ed.), Supply Chain Management and Advanced Planning, edition 5, chapter 30, pages 525-536, Springer.
    • Handle: RePEc:spr:sptchp:978-3-642-55309-7_30
    DOI: 10.1007/978-3-642-55309-7_30
    as

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