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An Equivalence Theorem to Integrate Entropy‐Maximizing Submodels within Overall Mathematical‐Programming Frameworks

Coelho, JD; Wilson, AG; (1977) An Equivalence Theorem to Integrate Entropy‐Maximizing Submodels within Overall Mathematical‐Programming Frameworks. Geographical Analysis , 9 (2) pp. 160-173. 10.1111/j.1538-4632.1977.tb00569.x.

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Abstract

This paper presents a lemma and a theorem which demonstrate equivalent ways of formulating certain mathematical‐programming problems. The first shows, in general terms, how constraints can be “absorbed” into the objective function and vice versa. The second shows how such ideas can be applied to spatial analysis problems involving the minimization of development costs subject to interactions being determined by (suboptimal) entropy‐maximizing models. This provides both a new perspective on the relationship between programming and entropy models, and formulations that are computationally convenient. 1977 The Ohio State University

Type: Article
Title: An Equivalence Theorem to Integrate Entropy‐Maximizing Submodels within Overall Mathematical‐Programming Frameworks
DOI: 10.1111/j.1538-4632.1977.tb00569.x
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of the Built Environment
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of the Built Environment > Centre for Advanced Spatial Analysis
URI: http://discovery.ucl.ac.uk/id/eprint/1301515
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