Solving mixed integer nonlinear programming problems using spiral dynamics optimization algorithm

Super-opposition spiral dynamic-based fuzzy control for an inverted pendulum system

“…Where b is the coefficient of friction, r is the length of the transfer per-revolution of the ball-screw, Km is the torque constant, 𝐾 𝑏 is the back-emf constant, and 𝑅 is the armature resistance of the motor. The differential equation for the pendulum was derived, as shown in (4). 2739 Furthermore, the previous equations of motion were converted to state-space equations, as shown in ( 5)-( 6).…”

“…In recent years, several studies have addressed the SDA, including modifying its structure to improve it, hybridizing the SDA  ISSN: 2302-9285 with other algorithms to increase its efficiency, and applying it in engineering problems. These studies involved the modification of the SDA using a chaotic map [2], the hybridization of the SDA with the artificial bee colony (ABC) algorithm [3], and the application of the SDA to solve mixed-integer nonlinear programming problems [4]. The studies all demonstrated successful improvements to the SDA.…”

Solving Constrained Mean-Variance Portfolio Optimization Problems Using Spiral Optimization Algorithm

“…We round to the nearest integer for variables that must be an integer in the computation, but keep the variables as real when spiral iterations are conducted. Algorithm 2 below is based on a study by Kania and Sidarto (2016).…”

“…A spiral optimization algorithm (SOA) was proposed by Tamura and Yasuda (2011) as a metaheuristic algorithm that is inspired by spiral phenomena in nature. SOA was used to solve a mixed integer nonlinear programming problem by Kania and Sidarto (2016) and SOA with clustering was used to find solutions to systems of nonlinear equations by Sidarto and Kania (2015). SOA was also used to solve a combined economic and emission dispatch (Benasla et al 2014).…”