
Hi, is there any interest in including an algorithm for solving the shortest path problem with resource constraints (SPPRC) in the Boost Graph library? I've implemented an exact algorithm for this NP-hard problem. The algorithm is basically a label-setting algorithm based on dynamic programming. It is parameterized on the graph type (of course) and the type of the resource container (data structures specifying what resources there are and how they are to be managed in the course of the algorithm). Some remarks on the underlying problem: The SPPRC seeks the shortest (fastest, cheapest) path in a network with arbitrary arc lengths (travel times, costs) from an origin node to a destination node subject to one or more resource constraints. For example, one might seek a path of minimum length from o to d subject to the constraints that - the total travel time must not exceed some upper bound and/or - the total amount of some good that has to be picked up at the vertices along the path be less than or equal to some capacity limit and/or - if two vertices i_1 and i_2 are visited on a path, then i_1 must be visited before i_2 - etc. The problem is NP-hard in the strong sense. If the path need not be elementary, i.e., if it is allowed that vertices or arcs are visited more than once, the problem can be solved in pseudopolynomial time. A recent survey on the problem is: Desaulniers, G.; Irnich, S. (2005): Shortest Path Problems with Resource Constraints in: Desaulniers, G.; Desrosiers, J.; Solomon, M. (eds.) (2005): Column Generation Springer, New York, pp. 33--65 (available online via www.dpor.rwth-aachen.de/de/publikationen/pdf/or_2004-01.pdf) Regards, Michael D.