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Transportation theory (mathematics) : ウィキペディア英語版
Transportation theory (mathematics)

In mathematics and economics, transportation theory is a name given to the study of optimal transportation and allocation of resources.
The problem was formalized by the French mathematician Gaspard Monge in 1781.〔G. Monge. ''Mémoire sur la théorie des déblais et des remblais. Histoire de l’Académie Royale des Sciences de Paris, avec les Mémoires de Mathématique et de Physique pour la même année'', pages 666–704, 1781.〕
In the 1920s A.N. Tolstoi was one of the first to study the transportation problem mathematically. In 1930, in the collection ''Transportation Planning Volume I'' for the National Commissariat of Transportation of the Soviet Union, he published a paper "Methods of Finding the Minimal Kilometrage in Cargo-transportation in space".〔Schrijver, Alexander, (''Combinatorial Optimization'' ), Berlin ; New York : Springer, 2003. ISBN 3540443894. Cf. (p.362 )〕〔Ivor Grattan-Guinness, Ivor, (''Companion encyclopedia of the history and philosophy of the mathematical sciences'' ), Volume 1, JHU Press, 2003. Cf. (p.831 )〕
Major advances were made in the field during World War II by the Soviet/Russian mathematician and economist Leonid Kantorovich.〔L. Kantorovich. ''On the translocation of masses.'' C.R. (Doklady) Acad. Sci. URSS (N.S.), 37:199–201, 1942.〕 Consequently, the problem as it is stated is sometimes known as the Monge–Kantorovich transportation problem. The linear programming formulation of the transportation problem is also known as the HitchcockKoopmans transportation problem.
==Motivation==


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