Bibliographic Details
| Title: |
Permutatorial optimization via the permutahedron. |
| Authors: |
Martínez Mori, J. Carlos1 (AUTHOR) jm2638@cornell.edu, Samaranayake, Samitha2 (AUTHOR) samitha@cornell.edu |
| Source: |
Operations Research Letters. Sep2022, Vol. 50 Issue 5, p441-445. 5p. |
| Subjects: |
Water utilities, Combinatorial optimization, Infrastructure (Economics) |
| Abstract: |
A water company decides to expand its network with a set of water lines, but it cannot build them all at once. However, it starts reaping benefits from a partial expansion. In what order should the company build the lines? We formalize a class of permutatorial problems with combinatorial/continuous subproblems capturing applications of incremental deployment. We show that, for additive/linear objective functions, efficient polyhedral methods for the subproblems extend to the permutatorial problem. Our main technical ingredient is the permutahedron. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
