[PDF] Top 20 Fast Algorithm for the Travelling Salesman Problem and the Proof of P = NP

... The travelling salesman problem asks the following question: “Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city and ... See full document

... Although SA provide the ease of implementation and the ability to provide reasonably good solutions for many combinatorial problems but it needs a great deal of computer time for many runs and carefully chosen ... See full document

... Target Travelling Salesman Problem (MTTSP) is ...genetic algorithm approach on the various data sets and the results are compared with greedy ... See full document

... The graphs provide opportunities to formulate and solve complex practical problems effectively in a natural way and in an accessible language. Numerous problems in different fields, both in science and in practice (for ... See full document

... scale NP hard combinatorial optimization problem[10]. This algorithm searches the complete space of solutions for a given problem for the best ...the algorithm to search parts of the ... See full document

... Genetic algorithm shows that time complexity increases exponentially with increasing number of ...the algorithm takes a lot of time to complete (about 20000ms or ...genetic algorithm, small sized ... See full document

... Memetic algorithm (MA) is motivated by Dawkin’s notion of a meme as a unit of information is processed and enhanced by the communicating ...of NP optimization ...the problem. Memetic algorithms ... See full document

... world NP complex problems that still elude ...are Travelling Salesman Problem (TSP), Knapsack Problem, Graph Coloring, Vehicle Routing ...simple problem, but it is an important ... See full document

... on Travelling Salesman Problem (TSP), the ant colony algorithm is superior to simulated annealing and genetic algorithm approaches as it can be run continuously and acclimatize to ... See full document

... Neighbor algorithm was one of the first algorithms used to find a solution for the travelling salesman ...this problem, the salesman starts in a random city and repeatedly visits the ... See full document

... or travelling salesman. The core of any travelling salesman problem is to generate optimal trajectory passing through the target points with minimum travelling distance and/or ... See full document

... The first version of the WFA was developed by Yang and Wang as the bin-packing [32]. WFA also has presented is good performance is various domain such [32], manufacturing cell fraction [33] and nurse scheduling problems ... See full document

... the NP-hard ...superior algorithm to attempt on the travelling salesman problem, is one of the well-known NP-hard ...genetic algorithm is discussed in details, together ... See full document

... is NP-hard in nature, which makes it easy to define, but difficult to ...the algorithm from theoretical to practical [3]. The algorithm was developed with the intention of optimizing a numerical ... See full document

... taking Travelling Salesman Problem as our object, wishes to develop a constructive algorithm to prove ...Our algorithm is described as this process: initially, constructing a convex ... See full document

... Likewise, several methodologies have been raised to solve the mTSP, such as heuristic and metaheuristic algorithms, neural network-based methods, ant systems and exact techniques. The mTSP is very time consuming due to ... See full document

... classical NP-Complete combinatorial optimization problem which comes up in different situations in our world ...studied problem for finding optimal ...as problem of graph ...of ... See full document

... The intelligent water drops (IWD) algorithm is a water-based algorithm pro- posed by Shah-Hosseini [1]. The IWD was inspired by the natural flow behavior of water in a river and by what happens in the ... See full document

... the problem one tries to construct the route in such a way that the total distance traveled by the salesman is ...neighbor algorithm was one of the first algorithms used to determine a solution to ... See full document

... In computer science and operation research GA is an independent technique that encouraged by the process of natural selection that belongs to the larger class of evolutionary algorithm (EA). It is a search ... See full document