The equitable dispersion problem

Oleg A. Prokopyev, Nan Kong and Dayna L. Martinez-Torres

European Journal of Operational Research, 2009, vol. 197, issue 1, 59-67

Abstract: Most optimization problems focus on efficiency-based objectives. Given the increasing awareness of system inequity resulting from solely pursuing efficiency, we conceptualize a number of new element-based equity-oriented measures in the dispersion context. We propose the equitable dispersion problem that maximizes the equity among elements based on the introduced measures in a system defined by inter-element distances. Given the proposed optimization framework, we develop corresponding mathematical programming formulations as well as their mixed-integer linear reformulations. We also discuss computational complexity issues, related graph-theoretic interpretations and provide some preliminary computational results.

Keywords: Equitable; dispersion; Maximum; dispersion; Equity; Binary; nonlinear; programming (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (26)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:197:y:2009:i:1:p:59-67

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