Optimierung Und Kontrolle Projektbereich Diskrete Optimierung on the Tsp with a Relaxed General Distribution Matrix on the Traveling Salesman Problem with a Relaxed Monge Matrix
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چکیده
We show that the traveling salesman problem with a symmetric relaxed Monge matrix as distance matrix is pyramidally solvable and can thus be solved by dynamic programming. Furthermore, we present a polynomial time algorithm that decides whether there exists a renumbering of the cities such that the resulting distance matrix becomes a relaxed Monge matrix.
منابع مشابه
Optimierung Und Kontrolle Projektbereich Diskrete Optimierung Three Easy Special Cases of the Euclidean Travelling Salesman Problem Three Easy Special Cases of the Euclidean Travelling Salesman Problem
It is known that in case the distance matrix in the Travelling Salesman Problem (TSP) fulllls certain combinatorial conditions (e.g. the Demidenko conditions , the Kalmanson conditions or the Supnick conditions) then the TSP is solvable in polynomial time. This paper deals with the problem of recognizing Euclidean instances of the TSP for which there is a renumbering of the cities such that the...
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We show that the traveling salesman problem with a symmetric relaxed Monge matrix as distance matrix is pyramidally solvable and can thus be solved by dynamic programming. Furthermore, we present a polynomial time algorithm that decides whether there exists a renumbering of the cities such that the resulting distance matrix becomes a relaxed Monge matrix.
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تاریخ انتشار 1998