NUMERICAL SOLUTIONS OF THE MASS TRANSFER PROBLEM

Serge Dubuc; Issa Kagabo

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NUMERICAL SOLUTIONS OF THE MASS TRANSFER PROBLEM

机译：传质问题的数值解

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Let μ and ν be two probability measures on the real line and let c be a lower semicontinuous function on the plane. The mass transfer problem consists in determining a measure ξ whose marginals coincide with μ and ν, and whose total cost ∫∫ c(x,y) dξ(x,y) is minimum. In this paper we present three algorithms to solve numerically this Monge-Kantorovitch problem when the commodity being shipped is one-dimensional and not necessarily confined to a bounded interval. We illustrate these numerical methods and determine the convergence rate.

机译：令μ和ν为实线上的两个概率测度，令c为平面上的下半连续函数。传质问题在于确定度量ξ，其边际与μ和ν一致，并且总成本∫∫c（x，y）dξ（x，y）最小。在本文中，我们提出了三种算法，用数字算法解决了当商品被运输为一维且不一定限于有界区间时的Monge-Kantorovitch问题。我们说明了这些数值方法并确定了收敛速度。

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来源
《RAIRO Operation Research》 |2006年第1期|p.1-17|共17页
作者
Serge Dubuc; Issa Kagabo;
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作者单位

Departement de mathematiques et de statistique, Universite de Montreal, C.P. 6128, Succ. Centre-Ville, Montreal, H3C 3J7, Canada;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类运筹学;
关键词
continuous programming; transportation; mass transfer; optimization;

机译：连续编程;运输;质量转移;优化;

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NUMERICAL SOLUTIONS OF THE MASS TRANSFER PROBLEM

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