Application of Particle Swarm Optimization in Figuring out Non-differentiable Point of Function

نویسندگان

  • Yuanbin Mo
  • Xinquan Zhao
  • Shujian Xiang
چکیده

Owing to the importance of non-differentiable point in a function for economy, engineering and theoretical analysis, this paper brings forward a novel methodology to figure out the non-differentiable point of function which is based on adjusting the models for global extremum and local extremum of particle swarm optimazation (PSO). The algorithm takes the difference between left and right difference quotients as the adaptive value of the particle. By them, it defines local extremum and global extremum for PSO and makes particle close to non-differentiable point of target function, and then figures the point out. The validity of the algorithm is verified by the result of numerical calculation.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Economic Dispatch of Thermal Units with Valve-point Effect using Vector Coevolving Particle Swarm Optimization Algorithm

Abstract: This paper is intended to reduce the cost of producing fuel from thermal power plants using the problem of economic distribution. This means that in order to determine the share of each unit, considering the amount of consumption and restrictions, including the ones that can be applied to the rate of increase, the prohibited operating areas and the barrier of the vapor barrier, the pr...

متن کامل

Particle Swarm Optimization with Smart Inertia Factor for Combined Heat and Power Economic Dispatch

In this paper particle swarm optimization with smart inertia factor (PSO-SIF) algorithm is proposed to solve combined heat and power economic dispatch (CHPED) problem. The CHPED problem is one of the most important problems in power systems and is a challenging non-convex and non-linear optimization problem. The aim of solving CHPED problem is to determine optimal heat and power of generating u...

متن کامل

Optimization of the Inflationary Inventory Control Model under Stochastic Conditions with Simpson Approximation: Particle Swarm Optimization Approach

In this study, we considered an inflationary inventory control model under non-deterministic conditions. We assumed the inflation rate as a normal distribution, with any arbitrary probability density function (pdf). The objective function was to minimize the total discount cost of the inventory system. We used two methods to solve this problem. One was the classic numerical approach which turne...

متن کامل

Non-linear Fractional-Order Chaotic Systems Identification with Approximated Fractional-Order Derivative based on a Hybrid Particle Swarm Optimization-Genetic Algorithm Method

Although many mathematicians have searched on the fractional calculus since many years ago, but its application in engineering, especially in modeling and control, does not have many antecedents. Since there are much freedom in choosing the order of differentiator and integrator in fractional calculus, it is possible to model the physical systems accurately. This paper deals with time-domain id...

متن کامل

A Hybrid Particle Swarm Optimization and Genetic Algorithm for Truss Structures with Discrete Variables

A new hybrid algorithm of Particle Swarm Optimization and Genetic Algorithm (PSOGA) is presented to get the optimum design of truss structures with discrete design variables. The objective function chosen in this paper is the total weight of the truss structure, which depends on upper and lower bounds in the form of stress and displacement limits. The Particle Swarm Optimization basically model...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • JCP

دوره 7  شماره 

صفحات  -

تاریخ انتشار 2012