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The traveling salesman program

Information in the Traveling Salesman Problem

Information in the Traveling Salesman Problem

... 5. Conclusion We have introduced a new perspective from which to study the Traveling Salesman Problem. Besides using the total tour length as the cost function, we propose to also use the tour information ...

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16.4 Traveling Salesman Problem

16.4 Traveling Salesman Problem

... • How important is it to find the optimal tour? – Usually heuristic solutions will suffice for applications. There are two different approaches if you insist on solving your TSP to optimality, however. Cutting plane methods ...

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On the recoverable robust traveling salesman problem

On the recoverable robust traveling salesman problem

... As even the computation of the robust objective value is NP-hard, this is also done using a decomposition based on problem relaxations of increasing size. Several heuristic solution procedures are investigated. Due to ...

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On The Recoverable Robust Traveling Salesman Problem

On The Recoverable Robust Traveling Salesman Problem

... the traveling salesman problem, in which edge lengths are uncertain and a bounded number of them may become larger than in the nominal case, but we are allowed to use a recovery action once a scenario is ...

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On the Approximability of the Traveling Salesman Problem with Line Neighborhoods

On the Approximability of the Traveling Salesman Problem with Line Neighborhoods

... To complete the proof, we need to show that F is a circuit. We start by showing that any path between two portals must have a continuation, that is, the number of paths incident on each portal is even. Then we show that ...

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A traveling salesman approach for predicting protein functions

A traveling salesman approach for predicting protein functions

... Concorde program has solved a 24,978-city TSP problem to the opti- mum [4], we can expect it to solve the TSP problems obtained from the protein-protein interaction matrices of most ...

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Vehicle routing and scheduling – The traveling salesman problem

Vehicle routing and scheduling – The traveling salesman problem

... dilemma regarding the best evacuation route to choose. The slightest probability of risk given any chosen route implies potential fatality. The larger the scale of an accident is, the greater the probabil- ity of an ...

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Engineering an Approximation Scheme for Traveling Salesman in Planar Graphs

Engineering an Approximation Scheme for Traveling Salesman in Planar Graphs

... Salesman Problem (TSP) on the metric defined by a planar graph with edge-weights. The application of the framework to this problem is perhaps the simplest illustration of the framework, though the dynamic ...

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GPU accelerated Hungarian algorithm for traveling salesman problem

GPU accelerated Hungarian algorithm for traveling salesman problem

... linear program with inequality restraints (cuts, shown below) that could be added gradually to the formulation using a branch and bound scheme to eliminate sub tours and reach the optimal ...

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A NEW HEURISTIC ALGORITHM FOR MULTIPLE TRAVELING SALESMAN PROBLEM

A NEW HEURISTIC ALGORITHM FOR MULTIPLE TRAVELING SALESMAN PROBLEM

... The Table 1 includes the results and processing times of the program for each library instance in which the number of salesman, m, ranges from 2 to 10. The optimum row in the table shows the optimum results ...

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Traveling salesman path problems

Traveling salesman path problems

... For these graphs, the convex hull of solutions to the traveling salesman walk problem has a known complete description by linear inequalities.. We extend these results[r] ...

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Characterization of the probabilistic traveling salesman problem

Characterization of the probabilistic traveling salesman problem

... probabilistic traveling salesman problem (PTSP), introduced by Jaillet [26, 27], is an extension of the trav- eling salesman problem to optimization in the face of un- known ...

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THE TRAVELING SALESMAN PROBLEM AND ITS VARIATIONS

THE TRAVELING SALESMAN PROBLEM AND ITS VARIATIONS

... [8] J. Carlier and P. Villon. A new heuristic for the travelling salesman problem. RAIRO, Recherche Operationelle, 24:245–253, 1990. [9] J. Cirasella, D.S. Johnson, L.A. McGeoch, and W. Zhang. The asym- metric ...

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Dynamic version of Traveling Salesman Problem

Dynamic version of Traveling Salesman Problem

... of Traveling salesman problem, the targets which have to be visited are stationary but in real life there are large numbers of instances where the targets are in ...single salesman (moving with the ...

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Uncertain multiobjective traveling salesman problem

Uncertain multiobjective traveling salesman problem

... t Traveling salesman problem is a fundamental combinatorial optimization model studied in the operations research community for nearly half a century, yet there is surprisingly little literature that ...

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Evolutionary algorithm to traveling salesman problems

Evolutionary algorithm to traveling salesman problems

... a b s t r a c t This paper proposed an improved version of the Particle Swarm Optimization (PSO) approach to solve Traveling Salesman Problems (TSP). This evolutionary algorithm includes two phases. The ...

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Ant colonies for the traveling salesman problem

Ant colonies for the traveling salesman problem

... We describe an artificial ant colony capable of solving the traveling salesman problem (TSP). Ants of the artificial colony are able to generate successively shorter feasible tours by using information ...

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Solution of a Large-Scale Traveling-Salesman Problem

Solution of a Large-Scale Traveling-Salesman Problem

... Groups like this need their challenges. One of them appears to have been the travel- ing salesman problem (TSP) and particularly its instance of finding a shortest route through Washington, DC, and the 48 states ...

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Optimization Approaches for the Traveling Salesman Problem with Drone

Optimization Approaches for the Traveling Salesman Problem with Drone

... Abstract The fast and cost-efficient home delivery of goods ordered online is logistically chal- lenging. Many companies are looking for new ways to cross the last-mile to their customers. One technology-enabled ...

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AMR to text generation as a Traveling Salesman Problem

AMR to text generation as a Traveling Salesman Problem

... 3 Singapore University of Technology and Design Abstract The task of AMR-to-text generation is to gen- erate grammatical text that sustains the seman- tic meaning for a given AMR graph. We at- tack the task by first ...

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