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The Covering Salesman Problem

Author

Listed:
  • John R. Current

    (The Ohio State University, Columbus, Ohio 43210)

  • David A. Schilling

    (The Ohio State University, Columbus, Ohio 43210)

Abstract

The primary purpose of this paper is to introduce and mathematically formulate the covering salesman problem (CSP). The CSP may be stated as follows: identify the minimum cost tour of a subset of n given cities such that every city not on the tour is within some predetermined covering distance standard, S , of a city that is on the tour. The CSP may be viewed as a generalization of the traveling salesman problem. A heuristic procedure for solving the CSP is presented and demonstrated with a sample problem.

Suggested Citation

  • John R. Current & David A. Schilling, 1989. "The Covering Salesman Problem," Transportation Science, INFORMS, vol. 23(3), pages 208-213, August.
    • Handle: RePEc:inm:ortrsc:v:23:y:1989:i:3:p:208-213
    DOI: 10.1287/trsc.23.3.208
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