Advanced Models for Manufacturing Systems Management

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CRC Press, Sep 19, 1995 - Mathematics - 432 pages
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This book presents the mathematical models applicable to manufacturing systems management, covering problems from production to real time control. It explores manufacturing systems from the viewpoints of both physical structure and performance measures. Two broad classes of mathematical models are covered in detail:
  • Generative models, which yield a set of decision variables optimizing a performance measure, based on mathematical optimization
  • Evaluative models, which evaluate some performance measures as a function of some predefined decision strategy. Within this class Petri Nets and Queueing Networks are discussed.
    Advanced Models for Manufacturing Systems Management describes dynamic systems modeling by state equations, a unifying framework for a wide variety of models. The text/reference stresses model building, but it examines model solving as well. Computational techniques are illustrated, such as linear programming, branch and bound methods, and dynamic programming. Particular emphasis is given to the development of heuristic methods from mathematical models.
    The book provides readers with valuable tools for management and design. The use of descriptive models within an optimization algorithm is considered. Numerous examples illustrate theoretical concepts throughout text. Appendices are given at the end of the book in order to recall fundamentals, such as linear programming and graph theory. Appendices also appear within each chapter. In this way, readers can follow the main reading path without getting involved with details; these appendices can be read at a later time. This textual structure makes this book particularly well suited for self-study. Advanced Models for Manufacturing Systems Management is beneficial reading for both students and practitioners.
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    Contents

    Manufacturing systems modeling
    1
    Optimization models and model solving
    20
    Discretetime models
    52
    DEDS models for scheduling problems
    102
    Evaluative models 101
    191
    Putting things together
    230
    A Fundamentals of Mathematical Programming
    246
    B Linear Programming and Network Optimization
    278
    Enumerative and Heuristic Methods for Discrete
    307
    Dynamic Programming
    346
    E Stochastic modeling
    357
    Problems
    376
    Bibliography
    384
    Index 300
    399
    Copyright

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    Page 384 - G. Cohen, GJ Olsder and JP Quadrat (1992). Synchronization and Linearity — An Algebra for Discrete Event Systems. Wiley, New York.
    Page 387 - A bottleneck-based beam search for job scheduling in a flexible manufacturing system", International Journal of Production Research 27 (1989) 1949-1961.
    Page 386 - Routing and scheduling in a flexible job shop by tabu search. Annals of Operations Research 41 (1993) 157-183.
    Page 387 - LN, 1990. Set partitioning and column generation heuristics for capacitated dynamic lotsizing. European Journal of Operational Research 46, 38-47. Cattrysse, D., Salomon, M., Kuik. R.. Van Wassenhove, LN, 1993. A dual ascent and column generation heuristic for the discrete lotsizing and scheduling problem with setup times.
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