Partitioning of sequentially ordered systems using linear programming

Anito Joseph, Noel Bryson

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


A variation of the partitioning problem is solved using linear programming techniques. In this class of problems, the optimal partition of objects must follow an apriori sequential ordering of objects. We examine a program segmentation application of this problem and formulate this sequential partitioning problem as an integer programming problem. The integer programming model of the problem possesses special structure such that the extreme points of its LP relaxation are integer and can be solved using LP techniques. We present computational results for randomly generated problems. We show how the LP approach can handle various side conditions and clustering criteria that arise across different problem types.

Original languageEnglish (US)
Pages (from-to)679-686
Number of pages8
JournalComputers and Operations Research
Issue number7
StatePublished - Jul 1997
Externally publishedYes

ASJC Scopus subject areas

  • Computer Science(all)
  • Modeling and Simulation
  • Management Science and Operations Research


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