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Binary social group optimization algorithm for solving 0-1 knapsack problem

Anima Naik, Pradeep Kumar Chokkalingam

2021Decision Science Letters11 citationsDOIOpen Access PDF

Abstract

In this paper, we propose the binary version of the Social Group Optimization (BSGO) algorithm for solving the 0-1 knapsack problem. The standard Social Group Optimization (SGO) is used for continuous optimization problems. So a transformation function is used to convert the continuous values generated from SGO into binary ones. The experiments are carried out using both low-dimensional and high-dimensional knapsack problems. The results obtained by the BSGO algorithm are compared with other binary optimization algorithms. Experimental results reveal the superiority of the BSGO algorithm in achieving a high quality of solutions over different algorithms and prove that it is one of the best finding algorithms especially in high-dimensional cases.

Topics & Concepts

Knapsack problemContinuous knapsack problemBinary numberAlgorithmMathematical optimizationOptimization problemGroup (periodic table)MathematicsTransformation (genetics)Continuous optimizationPolynomial-time approximation schemeComputer scienceMulti-swarm optimizationOrganic chemistryChemistryArithmeticGeneBiochemistryMetaheuristic Optimization Algorithms ResearchOptimization and Packing ProblemsSmart Parking Systems Research