Efficiency status of a feasible solution in the Multi-Objective Integer Linear Programming problems: A DEA methodology

Esmail Keshavarz, Mehdi Toloo*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


Efficient solutions in Multi-Objective Integer Linear Programming (MOILP) problems are categorized into two distinct types, supported and non-supported. Many researchers try to gain some conditions to determine whether a feasible solution is efficient, nevertheless there is no attempt to identify the efficiency status of a given efficient solution, i.e. supported and non-supported. In this paper, we first verify the relationships between Data Envelopment Analysis (DEA) and MOILP and then design two distinct practical procedures: the first one specifies whether or not an arbitrary feasible solution is efficient, meanwhile the second one, as the main aim of this study, determines the efficiency status of an efficient solution. Finally, as a contribution of the suggested approach, we illustrate the drawback of Chen and Lu's methodology (Chen and Lu, 2007) which is developed for solving an extended assignment problem.

Original languageEnglish
Pages (from-to)3236-3247
Number of pages12
JournalApplied Mathematical Modelling
Issue number12
Publication statusPublished - Jun 15 2015
Externally publishedYes


  • Data Envelopment Analysis (DEA)
  • Efficient solution
  • Multi-Criteria Optimization (MCO) problem
  • Multi-Objective Integer Linear Programming (MOILP)
  • Supported/non-supported efficient solution

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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