The approximation ratio of the greedy algorithm for the metric traveling salesman problem
نویسندگان
چکیده
We prove that the approximation ratio of the greedy algorithm for the metric Traveling Salesman Problem is Θ(log n). Moreover, we prove that the same result also holds for graphic, euclidean, and rectilinear instances of the Traveling Salesman Problem. Finally we show that the approximation ratio of the ClarkeWright savings heuristic for the metric Traveling Salesman Problem is Θ(log n). keywords: traveling salesman problem; greedy algorithm, Clarke-Wright savings heuristic, approximation algorithm
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ورودعنوان ژورنال:
- Oper. Res. Lett.
دوره 43 شماره
صفحات -
تاریخ انتشار 2015