Characteristics of genetic algorithm with real number coding

The principle is to construct a genetic individual based on the friction coefficient of the pipeline to be checked, that is, a numerical sequence composed of all the friction coefficient values ​​to be checked. Within a range of friction coefficient values, a group of individuals is randomly generated to form a genetic group. Decode the group (adjust the pipe network according to the friction coefficient combination represented by the individual, and calculate the objective function value from the obtained node pressure as the basis for evaluating the fitness of the individual in evolution). Genetic operations such as selection, crossover, and mutation are performed until the population has evolved to a stable stage, at which time the optimal friction coefficient combination for the optimization process is found.

The use of real-coded genetic algorithms for model parameter verification has the following advantages: The algorithm concept is simple, does not depend on the solution of gradients and cumbersome matrix operations, it is easy to implement, and it is also better than traditional linear and nonlinear optimization methods. The problem is more adaptable. Unlike traditional binary coding, the value of the independent variable (here the pipeline friction coefficient) is directly expressed as a real number in the genetic individual and no longer appears as a combination of 0 and 1 character strings, which greatly reduces the length of the individual code string. Operational efficiency has been significantly improved.

Due to its excellent global search capabilities, it is easier for genetic algorithms to find the global optimal solution to this complex nonlinear optimization model.

Grouping method of friction coefficient For complex pipeline networks, the friction coefficient of each pipeline is treated as a variable alone, which will form a huge problem scale. At the same time, for the verification model itself, there is no need for such treatment, so in the construction In the case of problems, the friction coefficients need to be grouped according to the following principles: grouped by the age of the pipe (buried year); grouped by the initial value of the massage resistance coefficient; grouped by region. Checking the working condition classification When performing the check, it is required to provide the measured data of single working condition or one or more points under multiple working conditions.

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