A Generalization of Dynamic Programming for Pareto Optimization in Dynamic Networks
Teodros Getachew, Michael Kostreva, Laura Lancaster (2010)
RAIRO - Operations Research
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The Algorithm in this paper is designed to find the shortest path in a network given time-dependent cost functions. It has the following features: it is recursive; it takes place bath in a backward dynamic programming phase and in a forward evaluation phase; it does not need a time-grid such as in Cook and Halsey and Kostreva and Wiecek's "Algorithm One”; it requires only boundedness (above and below) of the cost functions; it reduces to backward multi-objective dynamic programming...