Solving Numerical Integration Using Firefly Optimization

نویسندگان

  • Mithun Roy
  • Debaditya Kundu
  • Subhashis Majumder
چکیده

Firefly Algorithm is one of the meta-heuristic algorithms that are capable of performing optimization quite efficiently. It is a relatively new concept being inspired by the flashing behavior of fireflies. In this work, we have used it effectively in calculation of definite integrals, especially when the integrands have prismitives that cannot be expressed using elementary functions. Our application gives results that are more exact than the results obtained by classical numerical methods even when the number of intervals used by us is small. Our implementation takes little time to run and hence can be used efficiently for practical purposes.

برای دانلود رایگان 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

OPTIMUM DESIGN OF STRUCTURES USING AN IMPROVED FIREFLY ALGORITHM

Nature-inspired search algorithms have proved to be successful in solving real-world optimization problems. Firefly algorithm is a novel meta-heuristic algorithm which simulates the natural behavior of fireflies. In the present study, optimum design of truss structures with both sizing and geometry design variables is carried out using the firefly algorithm. Additionally, to improve the efficie...

متن کامل

Solving Fractional Programming Problems based on Swarm Intelligence

This paper presents a new approach to solve Fractional Programming Problems (FPPs) based on two different Swarm Intelligence (SI) algorithms. The two algorithms are: Particle Swarm Optimization, and Firefly Algorithm. The two algorithms are tested using several FPP benchmark examples and two selected industrial applications. The test aims to prove the capability of the SI algorithms to s...

متن کامل

Stock Portfolio-Optimization Model by Mean-Semi-Variance Approach Using of Firefly Algorithm and Imperialist Competitive Algorithm

Selecting approaches with appropriate accuracy and suitable speed for the purpose of making decision is one of the managers’ challenges. Also investing decision is one of the main decisions of managers and it can be referred to securities transaction in financial markets which is one of the investments approaches. When some assets and barriers of real world have been considered, optimization of...

متن کامل

Extensions of Firefly Algorithm for Nonsmooth Nonconvex Constrained Optimization Problems

Firefly Algorithm (FA) is a stochastic population-based algorithm based on the flashing patterns and behavior of fireflies. Original FA was created and successfully applied to solve bound constrained optimization problems. In this paper we present extensions of FA for solving nonsmooth nonconvex constrained global optimization problems. To handle the constraints of the problem, feasibility and ...

متن کامل

Performance Research on Firefly Optimization Algorithm with Mutation

Firefly algorithm is an optimization algorithm which mimics the behavior of fireflies to solve problems. In this paper, firefly algorithm with mutation is researched and the performance effect of parameter settings is studied in order to show which setting is more suitable for solving optimization problems. It is tested on ten standard function problems and compared with original firefly algori...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2017