A new robust mixed integer-valued model in DEA

Dariush Khezrimotlagh, Shaharuddin Salleh, Zahra Mohsenpour

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


The mixed integer linear programming (MILP) models are proposed to estimate the performance of decision making units (DMUs) including both integer and real values in data envelopment analysis (DEA). There are several studies to propose MILPs in the literature of DEA; however, they have some major shortcomings unfortunately. This study firstly mentioned the shortcomings in the previous researches and secondly suggests a robust MILP based on the Kourosh and Arash Method (KAM). The proposed linear model, integer-KAM (IKAM), has almost all capabilities of the linear KAM and significantly removes the shortcomings in the current MILPs. For instance, IKAM benchmarks and ranks all technically efficient and inefficient DMUs at the same time. It detects outliers, and estimates the production frontier significantly. A numerical example of 39 Spanish airports with four integer inputs and three outputs including two integer values and a real value also represents the validity of the statements.

Original languageEnglish (US)
Pages (from-to)9885-9897
Number of pages13
JournalApplied Mathematical Modelling
Issue number24
StatePublished - Dec 15 2013

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Applied Mathematics


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