Computer Science – Data Structures and Algorithms
Scientific paper
1999-07-02
SIAM J. Computing 32(3):643-653, 2003
Computer Science
Data Structures and Algorithms
13 pages, 3 figures. To be presented at 40th IEEE Symp. Foundations of Computer Science (FOCS '99)
Scientific paper
10.1137/S0097539700370084
We introduce a class of "inverse parametric optimization" problems, in which one is given both a parametric optimization problem and a desired optimal solution; the task is to determine parameter values that lead to the given solution. We describe algorithms for solving such problems for minimum spanning trees, shortest paths, and other "optimal subgraph" problems, and discuss applications in multicast routing, vehicle path planning, resource allocation, and board game programming.
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