This paper addresses a method for solving two classes of production-transportation problems with concave production cost. By exploiting a special network structure both problems are reduced to a kind of resource allocation problem. It is shown that the resultant problem can be solved by using dynamic programming in time polynomial in the number of supply and demand points and the total demand.
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The author was partially supported by Grand-in-Aid for Scientific Research of the Ministry of Education, Science and Culture, Grant No. (C)05650061.
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Kuno, T., Utsunomiya, T. A decomposition algorithm for solving certain classes of production-transportation problems with concave production cost. J Glob Optim 8, 67–80 (1996). https://doi.org/10.1007/BF00229302
- Concave minimization
- global optimization
- production-transportation problem
- resource allocation problem
- dynamic programming