Traveling Salesman Problem for a Class of Carrier-Vehicle Systems
Author(s) -
Emanuele Garone,
Roberto Naldi,
Alessandro Casavola
Publication year - 2011
Publication title -
journal of guidance control and dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.573
H-Index - 143
eISSN - 1533-3884
pISSN - 0731-5090
DOI - 10.2514/1.50539
Subject(s) - travelling salesman problem , heuristic , mathematical optimization , class (philosophy) , 2 opt , range (aeronautics) , euclidean geometry , set (abstract data type) , regular polygon , computation , computer science , mathematics , optimization problem , traveling purchaser problem , bottleneck traveling salesman problem , algorithm , engineering , artificial intelligence , aerospace engineering , geometry , programming language
The traveling-salesman problem (TSP) for a class of carrier-vehicle systems in which a slow carrier with infinite operating range cooperates with a faster vehicle that has a limited operating range, was studied. A heuristic solution based on the Euclidean TSP (E-TSP) has been proposed and an analytical bound on its conservativeness has been derived. One of the main feature of this class of TSP problems is that, although still NP-hard, they admit polynomial-in-time optimization schemes. The CV-TSP heuristic proposed consists of two steps. First, it determines the visiting order of the almost-optimal E-TSP tour for the set of given points, and second, it uses the visiting order to solve the resulting visit of n points via the convex optimization formulation. The targets to be visited are limited to five randomly generated points that still make the computation of the exact optimal solution in a reasonable time possible.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
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