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Advanced Models for Manufacturing Systems Management

By A Villa

Series Editor: Nicola Bellomo

Published September 19th 1995 by CRC Press – 432 pages

Series: Mathematical Modeling

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Description

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.

    • Contents

    Manufacturing Systems Modeling

    The Nature of Mathematical Models of Manufacturing Systems

    Dynamic Models of Manufacturing Systems

    An Overview of Management Problems in Manufacturing Systems

    Plan of the Book

    For Further Reading

    Optimization Models and Model Solving

    Classes of Optimization Models

    An Overview of Optimization Methods

    Complexity of Optimization Problems

    Good and Bad Model Formulations

    Developing Heuristics from Mathematical Models

    The Theory of NP-Completeness

    An Outlook on Multi-Objective Optimization

    For Further Reading

    Discrete Time Models

    Aggregate Production Planning

    The Capacitated Lot-Sizing Problem

    The Discrete Lot-Sizing and Scheduling Problem

    Continuous Flow Models for Production Scheduling

    Discussion: The Flexibility of Discrete Time Models

    Strong Formulations for Lot-Sizing Problems

    The Single Item DLSP Problem: A Dynamic Programming Approach

    For Further Reading

    DEDS Models for Scheduling Problems

    Classical Machine Scheduling Theory

    Classification of Scheduling Problems

    Polynomial Complexity Scheduling Problems

    Dynamic Programming Approaches

    A Modeling Framework Based on Node Potential Assignment

    MILP Models for Scheduling Problems

    Branch and Bound Methods

    Heuristic Scheduling Methods

    Discussion

    Dynamic Programming for Scheduling a Batch Processor

    Periodic Scheduling Problems

    A Multi-Objective Approach to Machine Loading

    Evaluative Models

    Introduction to Queueing Models

    Queueing Networks

    Computational Methods for Closed Networks

    Approximate Analysis of Non-Product Form Queueing Networks

    Petri Net Models

    Product Forms and Local Balance Equations

    Putting Things Together

    Integrating Optimization Methods and Evaluative Models

    Optimal Control of Failure-Prone Manufacturing Systems

    Model Management and Modeling Languages

    Appendices

    Fundamentals of Mathematical Programming

    Linear Programming and Network Optimization

    Enumerative and Heuristic Methods for Discrete Optimization

    Dynamic Programming

    Stochastic Modeling

    Problems

    Bibliography

    Index

    Each Chapter Also Includes a "For Further Reading" Section.

    Name: Advanced Models for Manufacturing Systems Management (Hardback) – CRC Press 
    Description: By A VillaSeries Editor: Nicola Bellomo. 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...
    Categories: Mathematical Modeling, Industrial Engineering & Manufacturing, Mechanical Engineering