The equitable dispersion problem
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.
Year of publication: |
2009
|
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Authors: | Prokopyev, Oleg A. ; Kong, Nan ; Martinez-Torres, Dayna L. |
Published in: |
European Journal of Operational Research. - Elsevier, ISSN 0377-2217. - Vol. 197.2009, 1, p. 59-67
|
Publisher: |
Elsevier |
Keywords: | Equitable dispersion Maximum dispersion Equity Binary nonlinear programming |
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