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Exact hybrid algorithms for solving a bi-objective vehicle routing problem

Peter Reiter () and Walter Gutjahr ()

Central European Journal of Operations Research, 2012, vol. 20, issue 1, 19-43

Abstract: The paper investigates a capacitated vehicle routing problem with two objectives: (1) minimization of total travel cost and (2) minimization of the length of the longest route. We present algorithmic variants for the exact determination of the Pareto-optimal solutions of this bi-objective problem. Our approach is based on the adaptive ε-constraint method. For solving the resulting single-objective subproblems, we apply a branch-and-cut technique, using (among others) a novel implementation of Held-Karp-type bounds. Incumbent solutions are generated by means of a single-objective genetic algorithm and, alternatively, by the multi-objective NSGA-II algorithm. Experimental results for a benchmark of 54 test instances from the TSPLIB are reported. Copyright Springer-Verlag 2012

Keywords: Capacitated vehicle routing problem; Distance constraints; Multiobjective combinatorial optimization; Branch-and-cut; Genetic algorithms; NSGA-II (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10100-010-0158-3

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