Skip to main content

Mathematical Programming and Cluster Analysis

  • Chapter
Cluster Analysis

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 100))

  • 169 Accesses

Abstract

Recall that the objective in solving the cluster problem is to determine the optimal partitioning of n objects into m disjoint subsets in such a manner that a certain criterion of homogeneity within clusters is satisfied. A way of accomplishing this objective as discussed in Chapter 2 is by complete enumeration, i.e., examine the homogeneity criterion for all possible partitions into m clusters and choose that one which is optimal. Unfortunately, the method of complete enumeration is in general impractical, even for small values of n and m.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag Berlin · Heidelberg

About this chapter

Cite this chapter

Odell, P.L., Duran, B.S. (1974). Mathematical Programming and Cluster Analysis. In: Cluster Analysis. Lecture Notes in Economics and Mathematical Systems, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46309-9_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-46309-9_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06954-6

  • Online ISBN: 978-3-642-46309-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics