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Genetic Algorithm for the Traveling Salesman Problem using Sequential Constructive Crossover Operator
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International Journal of Biometrics and Bioinformatics (IJBB)
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Volume:  3    Issue:  6
Pages:  96-105
Publication Date:   January 2010
ISSN (Online): 1985-2347
Pages 
96 - 105
Author(s)  
Zakir H. Ahmed - Saudi Arabia
 
Published Date   
02-03-2010 
Publisher 
CSC Journals, Kuala Lumpur, Malaysia
ADDITIONAL INFORMATION
Keywords   Abstract   References   Cited by   Related Articles   Collaborative Colleague
 
KEYWORDS:   Traveling salesman problem, NP-complete, Genetic algorithm, Sequential constructive crossover 
 
 
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This paper develops a new crossover operator, Sequential Constructive crossover (SCX), for a genetic algorithm that generates high quality solutions to the Traveling Salesman Problem (TSP). The sequential constructive crossover operator constructs an offspring from a pair of parents using better edges on the basis of their values that may be present in the parents' structure maintaining the sequence of nodes in the parent chromosomes. The efficiency of the SCX is compared as against some existing crossover operators; namely, edge recombination crossover (ERX) and generalized N-point crossover (GNX) for some benchmark TSPLIB instances. Experimental results show that the new crossover operator is better than the ERX and GNX. 
 
 
 
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7 D. Whitley, T. Starkweather and D. Shaner. “The Traveling Salesman and Sequence Scheduling: Quality Solutions using Genetic Edge Recombination”. In L. Davis (Ed.) Handbook of Genetic Algorithms. Van Nostrand Reinhold, New York, pp. 350-372, 1991.
8 N.J. Radcliffe and P.D. Surry. “Formae and variance of fitness”. In D. Whitley and M. Vose (Eds.) Foundations of Genetic Algorithms 3. Morgan Kaufmann, San Mateo, CA, pp. 51-72, 1995.
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14 Z.H. Ahmed. "A sequential Constructive Sampling and Related approaches to Combinatorial Optimization". PhD Thesis, Tezpur University, India, 2000.
15 Z.H. Ahmed and S.N.N. Pandit. “The travelling salesman problem with precedence constraints”. Opsearch 38, pp. 299-318, 2001.
16 TSPLIB, http://www.iwr.uni-heidelberg.de/iwr/comopt/software/TSPLIB95/
 
 
 
 
 
 
 
 
Zakir H. Ahmed : Colleagues  
 
 
 
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