Heuristics Designed For the Traveling Salesman Problem
نویسندگان
چکیده
منابع مشابه
Heuristics for the Traveling Salesman Problem
The traveling salesman problem is a well known optimization problem. Optimal solutions to small instances can be found in reasonable time by linear programming. However, since the TSP is NP-hard, it will be very time consuming to solve larger instances with guaranteed optimality. Setting optimality aside, there’s a bunch of algorithms offering comparably fast running time and still yielding nea...
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In this paper, we introduce a new approach for solving the traveling salesman problems (TSP) and provide a solution algorithm for a variant of this problem. The concept of the proposed method is based on the Hungarian algorithm, which has been used to solve an assignment problem for reaching an optimal solution. We introduced a new fittest criterion for crossing over such problems, and illu...
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Several polynomial time algorithms finding “good,” but not necessarily optimal, tours for the traveling salesman problem are considered. We measure the closeness of a tour by the ratio of the obtained tour length to the minimal tour length. For the nearest neighbor method, we show the ratio is bounded above by a logarithmic function of the number of nodes. We also provide a logarithmic lower bo...
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This paper experimentally investigates the dynamical behavior of a search process in a local heuristic search system for a combinatorial optimization problem. Or-opt heuristic algorithm is chosen as the study subject, and the well-known traveling salesman problem (TSP) serves as a problem testbed. This study constructs the search trajectory by using the time-delay method, evaluates the dynamics...
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ژورنال
عنوان ژورنال: International Journal of Research in Advent Technology
سال: 2019
ISSN: 2321-9637
DOI: 10.32622/ijrat.75201966