title: An investigation of generalized differential evolution metaheuristic for multiobjective optimal crop-mix planning decision.
abstract: This paper presents an annual multiobjective crop-mix planning as a problem of concurrent maximization of net profit and maximization of crop production to determine an optimal cropping pattern. The optimal crop production in a particular planting season is a crucial decision making task from the perspectives of economic management and sustainable agriculture. A multiobjective optimal crop-mix problem is formulated and solved using the generalized differential evolution 3 (GDE3) metaheuristic to generate a globally optimal solution. The performance of the GDE3 metaheuristic is investigated by comparing its results with the results obtained using epsilon constrained and nondominated sorting genetic algorithms-being two representatives of state-of-the-art in evolutionary optimization. The performance metrics of additive epsilon, generational distance, inverted generational distance, and spacing are considered to establish the comparability. In addition, a graphical comparison with respect to the true Pareto front for the multiobjective optimal crop-mix planning problem is presented. Empirical results generally show GDE3 to be a viable alternative tool for solving a multiobjective optimal crop-mix planning problem.
authors.affiliation: Department of Information Technology, Durban University of Technology, P.O. Box 1334, Durban 4000, South Africa.
authors.forename: Oluwole
authors.identifier: 0000-0002-6115-5343
authors.initials: O
authors.lastname: Adekanmbi
authors.affiliation: Department of Information Technology, Durban University of Technology, P.O. Box 1334, Durban 4000, South Africa.
authors.forename: Oludayo
authors.initials: O
authors.lastname: Olugbara
authors.affiliation: Department of Civil Engineering and Surveying, Durban University of Technology, P.O. Box 1334, Durban 4000, South Africa.
authors.forename: Josiah
authors.identifier: 0000-0002-0497-4713
authors.initials: J
authors.lastname: Adeyemo
mesh_terms: D000383:Agriculture / Q000191:economics / Q000379:methods* / Q000458:organization & administration; D000465:Algorithms; D018556:Crops, Agricultural / Q000191:economics; D003661:Decision Support Techniques; D010934:Planning Techniques