A Note on K-Best Solutions to the Chinese Postman Problem

نویسندگان

  • Yasufumi Saruwatari
  • Tomomi Matsui
چکیده

The K-best problems on combinatorial optimization problems, in which K best solutions are considered instead of an optimal solution under the same conditions, have widely been studied. In this paper, we consider the K-best problem on the famous Chinese postman problem and develop an algorithm that nds K best solutions. The time complexity of our algorithm is O(S(n;m) + K(n + m + logK + nT (n +m;m))) where S(s; t) denotes the time complexity of an algorithm for ordinary Chinese postman problems and T (s; t) denotes the time complexity of a post optimal algorithm for non-bipartite matching problems de ned on a graph with s vertices and t edges.

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عنوان ژورنال:
  • SIAM Journal on Optimization

دوره 3  شماره 

صفحات  -

تاریخ انتشار 1993