A Multiple-Starting-Path Approach to the Resource-Constrainedkth Elementary Shortest Path Problem

The resource-constrained elementary shortest path problem (RCESPP) aims to determine the shortest elementary path from the origin to the sink that satisfies the resource constraints. The resource-constrainedkth elementary shortest path problem (RCKESPP) is a generalization of the RCESPP that aims to determine thekth shortest path when a set ofk-1shortest paths is given. To the best of our knowledge, the RCKESPP has been solved most efficiently by using Lawler’s algorithm. This paper proposes a new approach named multiple-starting-path (MSP) to the RCKESPP. The computational results indicate that the MSP approach outperforms Lawler’s algorithm.