Title: The COHP hybrid method to solve multi-objective optimisation problems: machine scheme selection

Authors: Elham Shadkam

Addresses: Department of Industrial Engineering, Faculty of Engineering, Khayyam University, Mashhad, Iran

Abstract: Multi-objectives problem optimisation is always one of the most challenging problems in the field of optimisation and it is difficult to find the optimal solution due to conflicting objectives. In this paper, by combining the method of the analytical hierarchy process (AHP) and cuckoo optimisation algorithm (COA), a new hybrid method for solving multi-objective problems is presented. The hybrid method is called COHP, which is inspired by the names of its combinatorial methods. The proposed COHP method uses the analytical hierarchy process to obtain weights through a matrix of pairwise comparisons and then interactively enter these weights into the cuckoo optimisation algorithm. In order to evaluate the performance of the multi-objective problem algorithm, the machine scheme selection in digital manufacturing with three objectives of quality, time and cost has been considered. After implementing the COHP method on the mentioned problem, the results show the superiority of the COHP method compared to the similar method created from the genetic algorithm.

Keywords: cuckoo optimisation algorithm; COA; analytical hierarchy process; AHP; multi-objective optimisation; machine scheme.

DOI: 10.1504/IJMOR.2023.132478

International Journal of Mathematics in Operational Research, 2023 Vol.25 No.3, pp.386 - 406

Received: 22 May 2022
Accepted: 27 May 2022
Published online: 24 Jul 2023 *

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