A NEW HYBRID GENETIC ALGORITHM FOR VERTEX COVER PROBLEM

Volume: 14 Number: 3 May 4, 2015
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A NEW HYBRID GENETIC ALGORITHM FOR VERTEX COVER PROBLEM

Abstract

The minimum vertex cover  problem belongs to the  class  of  NP-compl ete  graph  theoretical problems. This paper presents a hybrid genetic algorithm to solve minimum ver tex cover problem. In this paper, it has been shown that when local optimization technique is added t o genetic algorithm to form hybrid genetic algorithm, it gives more quality solution than simple genet ic algorithm. Also, anew mutation operator has been developed especially for minimum vertex cover problem, whichc onverges faster to the global optimal solution. The new hybrid gentic algorith m has been compared with the previous works. The experimental results have shown that the propose d algorithm can yield quality solutions in reasonable times

Keywords

References

  1. Aggarwal, C. C., Orlin, J. B., Tai, R. P. (1997). Optimized Crossover for The İndependent Set Problem. Operations Research, 45(2), 226-234.
  2. Balas, E, and Niehaus, W. (1996). Finding Large Cliques in Arbitrary Graphs by Bipartite Matching. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 26, 29-52.
  3. Clarkson, K. (1983). A Modification to The Greedy Algorithm for The Vertex Cover Problem. IPL, Vol. 16, 23-25.
  4. Cormen, T.H., Lieserson, C. E., Rivest R. L., Stein, C. (2001). Introduction to Algorithms. Second Edition, The MIT Press.
  5. Dharwadker A. (2011). The Vertex Cover Algorithm. Createspace.
  6. Clique Benchmarks, (1993). Benchmark Instances Made Available by Electronic Transfer At Dimacs.Rutgers.Edu, Rutgers Univ., Piscataway. NJ.
  7. El-Mihoub, T. A., Hopgood, A. A., Nolle, L., & Battersby, A. (2006). Hybrid Genetic Algorithms: A Review. Engineering Letters, 13(2), 124-137.
  8. Garey, M. R. and Johnson, D. S. (1979). Computers and Intractability: A Guide to The Theory Np – Completeness. San Francisco: Freeman

Details

Primary Language

English

Subjects

-

Journal Section

-

Publication Date

May 4, 2015

Submission Date

May 4, 2015

Acceptance Date

-

Published in Issue

Year 2013 Volume: 14 Number: 3

APA
Uğurlu, O. (2015). A NEW HYBRID GENETIC ALGORITHM FOR VERTEX COVER PROBLEM. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering, 14(3), 277-282. https://izlik.org/JA23PA24DM
AMA
1.Uğurlu O. A NEW HYBRID GENETIC ALGORITHM FOR VERTEX COVER PROBLEM. AUJST-A. 2015;14(3):277-282. https://izlik.org/JA23PA24DM
Chicago
Uğurlu, Onur. 2015. “A NEW HYBRID GENETIC ALGORITHM FOR VERTEX COVER PROBLEM”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 14 (3): 277-82. https://izlik.org/JA23PA24DM.
EndNote
Uğurlu O (May 1, 2015) A NEW HYBRID GENETIC ALGORITHM FOR VERTEX COVER PROBLEM. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 14 3 277–282.
IEEE
[1]O. Uğurlu, “A NEW HYBRID GENETIC ALGORITHM FOR VERTEX COVER PROBLEM”, AUJST-A, vol. 14, no. 3, pp. 277–282, May 2015, [Online]. Available: https://izlik.org/JA23PA24DM
ISNAD
Uğurlu, Onur. “A NEW HYBRID GENETIC ALGORITHM FOR VERTEX COVER PROBLEM”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 14/3 (May 1, 2015): 277-282. https://izlik.org/JA23PA24DM.
JAMA
1.Uğurlu O. A NEW HYBRID GENETIC ALGORITHM FOR VERTEX COVER PROBLEM. AUJST-A. 2015;14:277–282.
MLA
Uğurlu, Onur. “A NEW HYBRID GENETIC ALGORITHM FOR VERTEX COVER PROBLEM”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering, vol. 14, no. 3, May 2015, pp. 277-82, https://izlik.org/JA23PA24DM.
Vancouver
1.Onur Uğurlu. A NEW HYBRID GENETIC ALGORITHM FOR VERTEX COVER PROBLEM. AUJST-A [Internet]. 2015 May 1;14(3):277-82. Available from: https://izlik.org/JA23PA24DM