The self-avoiding LCvy flight (SALF) in d dimensions with LCvy exponent / . b is formulated as a geometrical equilibrium statistical mechanical problem. A direct renormalisation theory, based on modem field theoretic techniques, is used to derive the critical exponents and the end-to-end distance probability function through first order in E = 2p d. The non-perturbative structure of the probabi...

Abstract This work, presents a novel optimizer called fertilization optimization algorithm, which is based on levy flight and random search within space. It biologically inspired algorithm by the of egg in reproduction mammals. The performance was compared with other algorithms CEC2015 time expensive benchmarks large scale problems. Remarkably, has overcome optimizers many cases examination com...

The Flexible AC Transmission Systems (FACTS) are the static power electronic devices that installed and used in transmission networks to enhance capability of transferring for providing controllability stability. However, optimization site size these is a crucial task due their high capital cost practical capabilities. In this paper, optimal reactive dispatch (ORPD) embedded with two effective ...

We solve a problem of non-convex stochastic optimisation with help of simulated annealing of Lévy flights of a variable stability index. The search of the ground state of an unknown potential is non-local due to big jumps of the Levy flights process. The convergence to the ground state is fast due to a polynomial decrease rate of the temperature.

Feng Dai E-mail: [email protected]; [email protected] Abstract. In this discussed draft, we want to present the Partial Distribution (F.Dai, 2001) for discussing. We compare the partial distribution with lognormal and levy distribution. Though the levy distribution is better to describe the prices distribution of stock and stock indexes in a moderately large volatility range, the lognormal...

"This paper analyzes the interaction between income distribution, human capital accumulation and migration. It shows that when migration is not a certainty, a brain drain may increase average productivity and equality in the source economy even though average productivity is a positive function of past average levels of human capital in an economy. It is also shown how the temporary possibility...

A is a continuous-time, real-valued stochastic process which has independent and Levy jump process stationary increments, with no Brownian component. We study some of the fundamental properties of Levy jump processes and develop inventory models for them. Of particular interest to us is the gamma-distributed Levy process, in which the demand that occurs in a fixed period of time has a gamma dis...

This paper presents a novel modified Levy flight optimization for photovoltaic PV solar energy system. Conventionally, the Perturb and Observe (P&O) algorithm has been widely deployed in most applications due to its simplicity ease of implementation. However, P&O suffers from steady-state oscillation stability, besides failure tracking optimum power under partial shading conditions fast...