Entropy Based Transportation Model - a Geometric Programming Approach
Bablu Samanta, Sanat Kumar Majumder (2007)
The Yugoslav Journal of Operations Research
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Bablu Samanta, Sanat Kumar Majumder (2007)
The Yugoslav Journal of Operations Research
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Jiřina Vejnarová (1998)
Kybernetika
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This contribution introduces the marginal problem, where marginals are not given precisely, but belong to some convex sets given by systems of intervals. Conditions, under which the maximum entropy solution of this problem can be obtained via classical methods using maximum entropy representatives of these convex sets, are presented. Two counterexamples illustrate the fact, that this property is not generally satisfied. Some ideas of an alternative approach are presented at the end of...
S. K. Mazumder, N. C. Das (1999)
The Yugoslav Journal of Operations Research
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Chakrabarti, C.G., De, Kajal (2000)
International Journal of Mathematics and Mathematical Sciences
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Chakrabarti, C.G., Chakrabarty, Indranil (2005)
International Journal of Mathematics and Mathematical Sciences
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Gselmann, Eszter (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Philippe Helluy, Nicolas Seguin (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this work, we propose a general framework for the construction of pressure law for phase transition. These equations of state are particularly suitable for a use in a relaxation finite volume scheme. The approach is based on a constrained convex optimization problem on the mixture entropy. It is valid for both miscible and immiscible mixtures. We also propose a rough pressure law for modelling a super-critical fluid.