Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (5): 531-536.

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An Information Condensing Distribution and a Boltzmann Entropy Function for Continuous Maximin Problems

  

  1. (Applied Mathematics Department, Dalian University of Technology, Dalian 116024)

  • Online:1999-12-05 Published:1999-12-05

Abstract:

An information condensing distribution via a prior experence distribution about the solution and a maximum entropy function for continuous maximin problem are presented in the means of Boltzmann entropy concept. An explicit expression for the global optimization solution is obtained and an application of the maximum entropy function approach in sloving a class of bilevel programming problem is also discussed.

Key words: Maximin problem, Boltzmann entropy, Maximum entropy function, Global optimal solution, Bilevel programming.

CLC Number: 

  • 90C
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