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A Matheuristic for a Bi-objective Covering Problem

In: Operations Research Proceedings 2023

Author

Listed:
  • Nils-Hassan Quttineh

    (Linköping University)

  • Torbjörn Larsson

    (Linköping University)

Abstract

We consider a bi-objective covering problem which is a close relative to the set covering problem. It is encountered in an application concerning cost-efficient camera surveillance of a bio-fuel depot. The two objectives are to simultaneously minimize the cost of the solution and to maximize its coverage, measured as the number of fulfilled covering constraints. These objectives are clearly in conflict, and for large scale instances it is very challenging and practically unfeasible to calculate the Pareto frontier. We propose a matheuristic approach to the problem. It aims at finding a near Pareto frontier in practically feasible computation times, and works by gradually constructing this frontier from zero coverage to full coverage. We apply the matheuristic to real-life instances and analyse its performance with respect to frontier quality metrics.

Suggested Citation

  • Nils-Hassan Quttineh & Torbjörn Larsson, 2025. "A Matheuristic for a Bi-objective Covering Problem," Lecture Notes in Operations Research, in: Guido Voigt & Malte Fliedner & Knut Haase & Wolfgang Brüggemann & Kai Hoberg & Joern Meissner (ed.), Operations Research Proceedings 2023, chapter 0, pages 519-525, Springer.
    • Handle: RePEc:spr:lnopch:978-3-031-58405-3_66
    DOI: 10.1007/978-3-031-58405-3_66
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