Title :
A Genetic Algorithm Based on Stochastic Crossover for DHCP
Author :
Carpentieri, Marco
Author_Institution :
Dipt. di Fisica E. R. Caianiello, Universita degli Studi di Salerno
Abstract :
We introduce a genetic model based on stochastic crossover to solve the Hamiltonian cycle problem (DHCP) for random digraphs containing a random Hamiltonian cycle. The genetic model represents a new decision computational method inspired by the remark that DHCP can be formulated as determining the compatibility of a quadratic system over the finite field GF(2). A (simple) genetic algorithm based on the stochastic crossover is experimentally compared with a randomized algorithm based on the Angulin and Valiant classic technique designed to find Hamiltonian cycles in random digraphs
Keywords :
Galois fields; genetic algorithms; graph theory; random processes; stochastic processes; Galois field; Hamiltonian cycle problem; decision computation; genetic algorithm; quadratic system; random Hamiltonian cycle; random digraphs; randomized algorithm; stochastic crossover; Adaptive control; Algorithm design and analysis; Application specific integrated circuits; Biological cells; Computational intelligence; Design optimization; Galois fields; Genetic algorithms; Merging; Stochastic processes;
Conference_Titel :
Foundations of Computational Intelligence, 2007. FOCI 2007. IEEE Symposium on
Conference_Location :
Honolulu, HI
Print_ISBN :
1-4244-0703-6
DOI :
10.1109/FOCI.2007.372178