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Optimal control for supply network models: Mixed integer programming
Author(s) -
Göttlich Simone,
Herty Michael
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700618
Subject(s) - discretization , queue , mathematical optimization , integer programming , bounded function , relation (database) , integer (computer science) , computer science , focus (optics) , class (philosophy) , control (management) , mathematics , artificial intelligence , computer network , mathematical analysis , physics , database , optics , programming language
The aim of our investigations is the optimization of a continuous model for a special class of supply networks. We focus on the underlying fundamentals and show the relation to mixed‐integer programming. This is done by applying numerical discretization schemes to the dynamics of the continuous equations and by approximations to the cost functional. One benefit of the MIP model is the adaptivity to real‐world situations by adding reasonable extensions such as bounded queues. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)