Design And Optimization Method For Exponential Function Membrane Systems

As a hot research field of natural computing,membrane computing is an abstract from the structure and function of living cells and tissues, organs out of the calculation model. Because of its great parallel and distributed characteristics such widespread attention, the film has been called computational model membrane systems or P systems.Existing membrane computing research focused on the theoretical aspects, designers through mathematics, formal language calculated to repeated scrutiny based on experience and other hand, the design process is complex and time-consuming and error-prone. Therefore, the introduction of genetic algorithms to automatically design the membrane system has become a new research direction.From the current research point of view, the evolution of computing and automatic design of membrane systems combine already achieved some results, such as calculations of 42, n2, as well as some simple polynomials of membrane systems.But these membrane systems computing tasks to complete when there are great limitations, there is no unified computing system, in terms of design conditions and the calculation of the target have yet to be improved and perfected. Therefore, this paper combines genetic algorithm and P-Lingua simulation software design and simulation of the exponential function of membrane systems through automated design-cell membrane system, and proposed a design method of output contains multiple objects and apply a polynomial membrane system automatic design. The main works and achievements are as follows:1. A proposed design method automatically exponential membrane computing model, given its design ideas, also introduced replacement membrane system encoding method, a method to determine whether to terminate the membrane system, the penalty function evaluation methods, genetic algorithm parameters set and genetic algorithm operator selection and other operations. And applied computing 2n such as exponential function of the membrane system design, simulation results show that this method can be successfully designed to meet the requirements of the membrane system;2. Propose a computational model cell type film output contains multiple objects of genetic optimization design method introduces specific design ideas and apply polynomial membrane computing model design, simulation results and a single output target membrane system design their compared to prove the feasibility and effectiveness of the method;3. Optimization method will output contains multiple objects cell type membrane computing model is used to solve the exponential function, obtained through a comparative analysis of the output of the number of objects to be selected to solve specific problems, for solving a given computational task requires a minimum initial theoretical study and a minimum number of rules, and the rules have a certain length of the guiding role.