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Maximal Covering Location Games: An Application for the Coast Guard

  • L. Schlicher
Chapter
Part of the NL ARMS book series (NLARMS)

Abstract

It is well-known that maximal covering location games may have empty cores. In Schlicher et al. (2017) several sufficient conditions for core non-emptiness are derived for these games. In this chapter, we present another sufficient condition for core non-emptiness, which also has a practical interpretation when dealing with a real-life application of the studied game, namely the pooling of coast guard boats.

Keywords

Cooperative game theory Military operations research Maritime application Maximal covering location problem Core non-emptiness Totally unimodular matrices 

Notes

Acknowledgements

A word of thanks to Marco Slikker and Erwin van Wingerden for the fruitful discussion on the modelling aspect of coast guard boat pooling situations.

References

  1. North Atlantic Coast Guard Forum NACGF (2018) Governmental coast guard companies, http://www.kustwacht.nl/en/nautical.html, accessed 5 January 2018
  2. Schlicher L, Slikker M, van Houtum G (2017) A note on maximal covering location games. Operations Research Letters, 45: 98–103Google Scholar
  3. Schrijver L (1998) Theory of linear and integer programming. Wiley-Interscience Series in Discrete Mathematics & Optimization, John Wiley & SonsGoogle Scholar
  4. Wolsey L (1998) Integer Programming. Wiley-Interscience Series in Discrete Mathematics & Optimization, John Wiley & SonsGoogle Scholar

Copyright information

© T.M.C. Asser press and the authors 2018

Authors and Affiliations

  1. 1.Netherlands Defence AcademyBredaThe Netherlands

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