Optimization of Structure and Development of Production Systems

  • S. Shevchenko
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


Problems encountered when developing some distributed production systems (or service systems), so as to make them capable of performing definite types of tasks are considered in the paper. These systems can be described by mathematical models used in the solution of problems of development and allocation of manufacturing tasks. Use is made of models describing events occurring at discrete time instants. The problem is reduced to an optimization of task distribution structure and to the choice of variants for the development of a system within the framework of allocated resources.


Distributed systems system development manufacturing systems discrete time simulation assignment problem suboptimal solution modified Lagrange function 


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  1. 1.
    G. J. Silverman, “Primal Decomposition of Mathematical Programs by Resource Allocation”. Techn. Memorandum 116, Operations Research Department, Case Western Reserve University, 1968.Google Scholar
  2. 2.
    A. M. Geoffrion, “Primal Resource - Discrete Approaches for Optimi-zing Nonlinear Decomposable Systems”. Memorandum RM - 5829 - PR. The RAND Corporation, Santa Monica, Calif., 1968.Google Scholar

Copyright information

© Springer-Verlag, Berlin Heidelberg 1994

Authors and Affiliations

  • S. Shevchenko
    • 1
  1. 1.Physical Engineering Dept.Kharkov Polytechnic InstituteKharkov-2Ukraine

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