Theoretical Computer Science
Optimal paths in graphs with stochastic or multidimensional weights
Communications of the ACM
Introduction to Algorithms
Least Expected Time Paths in Stochastic, Time-Varying Transportation Networks
Transportation Science
The complexity of some problems in parametric linear and combinatorial programming
The complexity of some problems in parametric linear and combinatorial programming
Decision-making based on approximate and smoothed Pareto curves
Theoretical Computer Science
Stochastic shortest paths via Quasi-convex maximization
ESA'06 Proceedings of the 14th conference on Annual European Symposium - Volume 14
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We consider a stochastic routing model in which the goal is to find the optimal route that incorporates a measure of risk The problem arises in traffic engineering, transportation and even more abstract settings such as task planning (where the time to execute tasks is uncertain), etc The stochasticity is specified in terms of arbitrary edge length distributions with given mean and variance values in a graph The objective function is a positive linear combination of the mean and standard deviation of the route Both the nonconvex objective and exponentially sized feasible set of available routes present a challenging optimization problem for which no efficient algorithms are known In this paper we evaluate the practical performance of algorithms and heuristic approaches which show very promising results in terms of both running time and solution accuracy.