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Branch-and-Bound Applications in Combinatorial Data Analysis

  • Michael J. Brusco
  • Stephanie Stahl

Part of the Statistics and Computing book series (SCO)

About this book

Introduction

There are a variety of combinatorial optimization problems that are relevant to the examination of statistical data. Combinatorial problems arise in the clustering of a collection of objects, the seriation (sequencing or ordering) of objects, and the selection of variables for subsequent multivariate statistical analysis such as regression. The options for choosing a solution strategy in combinatorial data analysis can be overwhelming. Because some problems are too large or intractable for an optimal solution strategy, many researchers develop an over-reliance on heuristic methods to solve all combinatorial problems. However, with increasingly accessible computer power and ever-improving methodologies, optimal solution strategies have gained popularity for their ability to reduce unnecessary uncertainty. In this monograph, optimality is attained for nontrivially sized problems via the branch-and-bound paradigm.

For many combinatorial problems, branch-and-bound approaches have been proposed and/or developed. However, until now, there has not been a single resource in statistical data analysis to summarize and illustrate available methods for applying the branch-and-bound process. This monograph provides clear explanatory text, illustrative mathematics and algorithms, demonstrations of the iterative process, psuedocode, and well-developed examples for applications of the branch-and-bound paradigm to important problems in combinatorial data analysis. Supplementary material, such as computer programs, are provided on the world wide web.

Dr. Brusco is a Professor of Marketing and Operations Research at Florida State University, an editorial board member for the Journal of Classification, and a member of the Board of Directors for the Classification Society of North America. Stephanie Stahl is an author and researcher with years of experience in writing, editing, and quantitative psychology research.

Keywords

Analysis Cluster analysis Graph Regression analysis Sim Statistical Analysis algorithms classification clustering data analysis operations research optimization

Authors and affiliations

  • Michael J. Brusco
    • 1
  • Stephanie Stahl
    • 2
  1. 1.Department of Marketing College of BusinessFlorida State UniversityTallahasseeUSA
  2. 2.TallahasseeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/0-387-28810-4
  • Copyright Information Springer Science+Business Media, Inc. 2005
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-25037-3
  • Online ISBN 978-0-387-28810-9
  • Series Print ISSN 1431-8784
  • Buy this book on publisher's site