A Novel Membrane Algorithm Based on Particle Swarm Optimization for Solving Broadcasting Problems

Gexiang Zhang (Southwest Jiaotong University)

Fen Zhou (Southwest Jiaotong University, China)

Xiaoli Huang (Southwest Jiaotong University, China)

Jixiang Cheng (Southwest Jiaotong University, China)

Marian Gheorghe (University of Sheffield, United Kingdom)

Florentin Ipate (University of Pitesti, Romania)

Raluca Lefticaru (University of Pitesti, Romania)

Abstract: This paper presents the application of membrane algorithms to broadcasting problems, which are regarded as NP-hard combinatorial optimization problems. A membrane algorithm, called HPSOPS, is proposed by appropriately combining membrane systems and a hybrid particle swarm optimization with wavelet mutation (HPSOWM). HPSOPS is designed with the hierarchical membrane structure and transformation/communication-like rules of membrane systems, the representation of individuals and the evolutionary mechanism of HPSOWM. Experimental results from various broadcasting problems show that HPSOPS performs better than its counterpart HPSOWM and genetic algorithms reported in the literature, in terms of search capability, efficiency, solution stability and precision.

Keywords: broadcasting problem, membrane algorithm, membrane computing, membrane systems, particle swarm optimization

Categories: F.1.1, F.2.1, I.2.11, I.2.8