#6428. The Steiner bi-objective shortest path problem

November 2026publication date
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Journal’s subject area:
Computational Mathematics;
Management Science and Operations Research;
Control and Optimization;
Modeling and Simulation;
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Abstract:
In this paper, we introduce the Steiner Bi-objective Shortest Path Problem. This problem is defined on a directed graph G=(V,A), with a subset T?V of terminals. Arcs are labeled with travel time and cost. The goal is to find a complete set of efficient paths between every pair of nodes in T. The motivation behind this problem stems from data preprocessing for vehicle routing problems. We propose a solution method based on a labeling approach with a multi-objective A* search strategy guiding the search towards the terminals.
Keywords:
A* algorithm; Multiple destinations; Vehicle routing with road-network information

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