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On the use of the simplex method for a type of allocation problems
| Title: | On the use of the simplex method for a type of allocation problems |
| Authors: | Tanaka, Yoshihiro Browse this author →KAKEN DB |
| Keywords: | allocation problems | | Hall’s theorem | | Birkhoff’s theorem | | simplex method |
| Issue Date: | Oct-2018 |
| Publisher: | Faculty of Economics and Business, Hokkaido University |
| Journal Title: | Discussion Paper, Series A |
| Volume: | 331 |
| Start Page: | 1 |
| End Page: | 8 |
| Abstract: | In this study we discuss the use of the simplex method to solve allocation problems whose flow matrices are doubly stochastic. Although these problems can be solved via a 0-1 integer programming method, H.W. Kuhn [4] suggested the use of linear programming in addition to the Hungarian method.
Specifically, we use the Birkhoff's theorem to prove that the simplex method enables solving these problems. We also provide insights how to obtain a partition that includes a particular unit. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/71733 |
| Appears in Collections: | Discussion paper > Series A
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Submitter: 田中 嘉浩
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