scholarly journals Modified transitive closure algorithm for traveling salesman problems

2020 ◽  
Author(s):  
T. Karthy ◽  
K. Ganesan
Keyword(s):  
Transitive Closure ◽  
Traveling Salesman ◽  
Traveling Salesman Problems ◽  
Closure Algorithm

scholarly journals Algorithm for Multi- objective Traveling Salesman Problems based on Modified Transitive closure

2019 ◽  
Vol 9 (2) ◽  
pp. 2576-2581 ◽  
Keyword(s):  
Genetic Algorithm ◽  
Traveling Salesman Problem ◽  
Transitive Closure ◽  
Traveling Salesman ◽  
Traveling Salesman Problems ◽  
Numerical Examples ◽  
Multi Objective ◽  
Closure Method ◽  
Closure Algorithm

One of the challenging facts of the Multi Objective Traveling Salesman Problem (MOTSP) is to find the best compromised solution. In this paper, we have proposed a modified transitive closure algorithm to solve MOTSP using Genetic Algorithm (GA). Modified Transitive Closure method generates all the initial solutions of each objective. By applying Genetic Algorithm (GA), compromised solutions are obtained. Numerical examples are provided to show the efficiency of the proposed algorithm for MOTSP

K-means Clustering Algorithm and Meta-heuristics for Multiple Traveling Salesman Problems

2009 ◽  
Vol 4 (2) ◽  
pp. 16-32
Author(s):  
R. Nallusamy ◽  
K. Duraiswamy ◽  
R. Dhanalaksmi ◽  
P. Parthiban
Keyword(s):  
Clustering Algorithm ◽  
Traveling Salesman ◽  
Traveling Salesman Problems

scholarly journals Fully Dynamic Transitive Closure in Plane Dags with one Source and one Sink

1994 ◽  
Vol 1 (30) ◽  
Author(s):  
Thore Husfeldt
Keyword(s):  
Transitive Closure ◽  
Upper Bounds ◽  
Directed Acyclic Graphs ◽  
Closure Problem ◽  
Directed Path ◽  
Lower And Upper Bounds ◽  
New Techniques ◽  
Time Dynamic ◽  
Acyclic Graphs ◽  
Closure Algorithm

We give an algorithm for the Dynamic Transitive Closure Problem for planar directed acyclic graphs with one source and one sink. The graph can be updated in logarithmic time under arbitrary edge insertions and deletions that preserve the embedding. Queries of the form `is there a directed path from u to v ?' for arbitrary vertices u and v can be answered in logarithmic time. The size of the data structure and the initialisation time are linear in the number of edges.<br /> <br />The result enlarges the class of graphs for which a logarithmic (or even polylogarithmic) time dynamic transitive closure algorithm exists. Previously, the only algorithms within the stated resource bounds put restrictions on the topology of the graph or on the delete operation. To obtain our result, we use a new characterisation of the transitive closure in plane graphs with one source and one sink and introduce new techniques to exploit this characterisation.<br /> <br />We also give a lower bound of Omega(log n/log log n) on the amortised complexity of the problem in the cell probe model with logarithmic word size. This is the first dynamic directed graph problem with almost matching lower and upper bounds.

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