Dynamic programming and the graphical traveling salesman problem

1993 ◽  
Vol 40 (5) ◽  
pp. 1165-1187 ◽  
Author(s):  
Jean Fonlupt ◽  
Armand Nachef
Author(s):  
Anggar Titis Prayitno

ABSTRACT  Traveling Salesman Problem (TSP) is one of combinatorics optimation problem to find the possible shorthest path that can be obtained if a  salesman visit each city exactly once and return to the starting city. The shorthest path searching can be done by Cheapest Insertion Heuristics algorithm and Dynamic Programming. Each algorithm has different efficiency to find shorthest path. Algorithm efficiency is determined based on time complexity. Algorithm wich has the smallest time complexity is the most efficient algorithm. Based on the calculation result, the time complexity of Cheapest Insertion Heuristics algorithm is and Dynamic Programming is .  Therefore, for  Cheapest Insertion Heuristics Algorithm is more efficient algorithm than Dynamic Programming in TSP solving. Keywords : Traveling Salesman Problem, Cheapest Insertion Heuristics  Algorithm, Dynamic Programming, and Algorithm time complexity.


Networks ◽  
2018 ◽  
Vol 72 (4) ◽  
pp. 528-542 ◽  
Author(s):  
Paul Bouman ◽  
Niels Agatz ◽  
Marie Schmidt

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