Entropy Maximization and Geometric Programming

Datos Bibliográficos

ID4141111
AutoresJohn J Dinkel (Pennsylvania State University), G A Kochenberger (Department of Management Science and Organizational Behavior, The Pennsylvania State University, 609 Business Administration Building, University Park, Pennsylvania 16802, USA), Gary Kochenberger (Pennsylvania State University), N Wong (0009-0000-9082-7658), S-N Wong (Department of Management Science and Organizational Behavior, The Pennsylvania State University, 609 Business Administration Building, University Park, Pennsylvania 16802, USA)
Año1977
Volumen9
Número4
Páginas419-427
Fecha de publicación1977-04-01
Open AccessSí
TipoARTICLE
RevistaEnvironment and Planning A Economy and Space (JOURNAL)
Identificadores de la revistaISSN: 0308-518X • E-ISSN: 1472-3409
EditorialSAGE Publications Inc (PUBLISHER)
DOI10.1068/a090419
OpenAlexW2006963148
IdiomaEN
Citas recibidas6
Referencias citadas8

This paper shows the equivalence of entropy-maximization models to geometric programs. As a result we derive a dual geometric program which consists of the minimization of an unconstrained convex function. We develop the necessary duality equivalencies between the two dual programs and show the computational attractiveness of our approach. We also develop some characterizations of the optimal solution of the entropy model which have important implications with regard to postoptimal or sensitivity analysis

Attractiveness · Discrete mathematics · Entropy maximization · Geometric programming · Geometry · Mathematical optimization · Maximization · Minification · Parametric statistics · Principle of maximum entropy · Regular polygon · Statistics · Computer Science · Decision-Making and Behavioral Economics · Economic theories and models · Mathematics · Optimization and Variational Analysis · Artificial Intelligence

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