Shortest path problem with forbidden paths: The elementary version

Luigi Di Puglia Pugliese and Francesca Guerriero

European Journal of Operational Research, 2013, vol. 227, issue 2, 254-267

Abstract: This paper addresses the elementary shortest path problem with forbidden paths. The main aim is to find the shortest paths from a single origin node to every other node of a directed graph, such that the solution does not contain any path belonging to a given set (i.e., the forbidden set). It is imposed that no cycle can be included in the solution. The problem at hand is formulated as a particular instance of the shortest path problem with resource constraints and two different solution approaches are defined and implemented. One is a Branch & Bound based algorithm, the other is a dynamic programming approach. Different versions of the proposed solution strategies are developed and tested on a large set of test problems.

Keywords: Combinatorial optimization; Shortest paths; Forbidden paths; Branch and bound approach; Dynamic programming approach (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:227:y:2013:i:2:p:254-267

DOI: 10.1016/j.ejor.2012.11.010

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