Combinatorial Heuristic Algorithms with FORTRAN

  • H. T. Lau

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 280)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Integer Programming

    1. H. T. Lau
      Pages 1-29
    2. H. T. Lau
      Pages 30-37
    3. H. T. Lau
      Pages 38-51
  3. Network Design

    1. H. T. Lau
      Pages 52-80
    2. H. T. Lau
      Pages 81-97
    3. H. T. Lau
      Pages 98-105
    4. H. T. Lau
      Pages 106-113
    5. H. T. Lau
      Pages 114-122
  4. Back Matter
    Pages 123-128

About this book

Introduction

In recent years researchers have spent much effort in developing efficient heuristic algorithms for solving the class of NP-complete problems which are widely believed to be inherently intractable from the computational point of view. Although algorithms have been designed and are notorious among researchers, computer programs are either not implemented on computers or very difficult to obtain. The purpose of this book is to provide a source of FORTRAN coded algorithms for a selected number of well-known combinatorial optimization problems. The book is intended to be used as a supplementary text in combinatorial algorithms, network optimization, operations research and management science. In addition, a short description on each algorithm will allow the book to be used as a convenient reference. This work would not have been possible without the excellent facilities of Bell-Northern Research, Canada. H. T. Lau lIe des Soeurs Quebec, Canada August 1986 CONTENTS Page Introduction Part I. INTEGER PROGRAMMING Chapter 1. Integer Linear Programming Chapter 2. Zero-one Linear Programming 30 Chapter 3. Zero-one Knapsack Problem 38 Part II. NETWORK DESIGN Chapter 4. Traveling Salesman Problem 52 Chapter 5. Steiner Tree Problem 81 Chapter 6. Graph Partitioning 98 Chapter 7. K-Median Location 106 Chapter 8. K-Center Location 114 List of Subroutines 123 Bibliographic Notes 124 INTRODUCTION Following the elegant theory of NP-comp1eteness, the idea of developing efficient heuristic algorithms has been gaining its popularity and significance.

Keywords

algorithms combinatorial optimization linear optimization operations research optimization

Authors and affiliations

  • H. T. Lau
    • 1
  1. 1.Bell-Northern ResearchVerdunCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-61649-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1986
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-17161-4
  • Online ISBN 978-3-642-61649-5
  • Series Print ISSN 0075-8442
  • About this book