A Survey on Travelling Salesman Problem
نویسنده
چکیده
The Travelling Salesman problem is one of the most popular problems from the NP set, it is also one of the hardest too. The solution to this problem enjoys wide applicability in a variety of practical fields. Thus it highly raises the need for an efficient solution for this NP Hard problem. However even the most common deterministic solutions to the problem are known to possess an exponential time complexity. There have been many efforts in the past to provide time efficient solutions for the problem, both exact and approximate. This paper surveys on some of these deterministic and non-deterministic efforts. It also presents and analyzes a greedy non−deterministic algorithm to solve the travelling salesman problem. The paper relates the Travelling Salesman problem with the hamiltonian circuit problem in order to demonstrate the existing property of reducibility between the two problems and the its advantages in providing a solution to the TSP.
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