Solving Subset Sum Problems by Time-free Spiking Neural P Systems

Tao Song, Liang Luo, Juanjuan He, Zhihua Chen, Kai Zhang
2014 Applied Mathematics & Information Sciences  
In membrane computing, spiking neural P systems (shortly called SN P systems) are a group of neural-like computing models inspired from the way spiking neurons communication in form of spikes. In previous works, SN P systems working in a nondeterministic manner have been used to solve numerical NP-complete problems, such as SAT, vertex cover, in feasible time. In these works, the application of any rule should complete in exactly one time unit, and the precise execution time of rules plays a
more » ... cial role on solving the problems in polynomial (or even in linear) time. However, the restriction does not coincide with the biological fact, since in biological systems, bio-chemical reactions may cost different execution time due to the external uncontrollable conditions. In this paper, we consider timed and time-free SN P systems, where the precise execution time of the rules is removed. To investigate the computational efficiency of time-free SN P systems, we solve Subset Sum problem by a family of uniform time-free SN P systems.
doi:10.12785/amis/080140 fatcat:ysgmsfzrxrfklosk6lsoymqvhm