Random assignment problems

Pavlo A. Krokhmal, Panos M. Pardalos

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

Analysis of random instances of optimization problems provides valuable insights into the behavior and properties of problem's solutions, feasible region, and optimal values, especially in large-scale cases. A class of problems that have been studied extensively in the literature using the methods of probabilistic analysis is represented by the assignment problems, and many important problems in operations research and computer science can be formulated as assignment problems. This paper presents an overview of the recent results and developments in the area of probabilistic assignment problems, including the linear and multidimensional assignment problems, quadratic assignment problem, etc.

Original languageEnglish (US)
Pages (from-to)1-17
Number of pages17
JournalEuropean Journal of Operational Research
Volume194
Issue number1
DOIs
StatePublished - Apr 1 2009
Externally publishedYes

Keywords

  • Asymptotic analysis
  • Bottleneck assignment problem
  • Fitness landscape analysis
  • Linear assignment problem
  • Multidimensional assignment problem
  • Probabilistic analysis
  • Quadratic assignment problem
  • Random assignment problems

ASJC Scopus subject areas

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

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