Approximate algorithm for searching shortest path in multiservice network with constrained resource

The resource constrained shortest path problemimplemented in

Shorter Path Constraints for the Resource Constrained Shortest Path Problem

Recently, new cost-based filtering algorithms for shorter-path constraints have been developed. However, so far only the theoretical properties of shorter-path constraint filtering have been studied. We provide the first extensive experimental evaluation of the new algorithms in the context of the resource constrained shortest path problem. We show how reasoning about path-substructures in comb...

Solving resource constrained shortest path problems with Branch-and-Cut

In the resource constrained shortest path problem (RCSPP) a shortest path satisfying additional resource bounds is sought. Each arc has a length and a resource usage vector specifying the requirements from each resource of a finite set of resources. The resource bounds limit the total usage along feasible paths for each resource type. In this paper we introduce new cutting planes, separation pr...

Solving resource constrained shortest path problems with LP-based methods

In the resource constrained shortest path problem (RCSPP) there is a directed graph along with a source node and a destination node, and each arc has a cost and a vector of weights specifying its requirements from a set of resource types with finite capacities. A minimum cost source-destination directed path is sought such that the total consumption of the arcs from each resource type does not ...

The resource constrained shortest path problemimplemented in a lazy functional

The resource constrained shortest path problem is an NP-hard problem for which many ingenious algorithms have been developed. These algorithms are usually implemented in FORTRAN or another imperative programming language. We have implemented some of the simpler algorithms in a lazy functional language. Beneets accrue in the software engineering of the implementations. Our implementations have b...