Monkey Algorithm for Packing Circles with Binary Variables

Torres-Escobar, R. and Marmolejo-Saucedo, J.A. and Litvinchev, I. and Vasant, P. (2019) Monkey Algorithm for Packing Circles with Binary Variables. Advances in Intelligent Systems and Computing, 866. pp. 547-559.

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Abstract

The problem of packing non-congruent circles within a rectangular container is considered. The objective is to place the maximum number of circles inside the container such that no circle overlaps with another one. This problem is known to be NP-Hard. Dealing with these problems efficiently is difficult, so heuristic-based methods have been used. In this paper the problem of packing non-congruent circles is solved using the binary version of monkey algorithm. The proposed algorithm uses a grid for approximating the container and considering the grid points as potential positions for assigning centers of the circles. The algorithm consists of five main routines: the climb process, watch-jump process, repairing process, cooperation process and somersault process. Numerical results on packing non-congruent circles are presented to demonstrate the efficiency of the proposed approach. © 2019, Springer Nature Switzerland AG.

Item Type: Article
Impact Factor: cited By 7
Uncontrolled Keywords: Containers; Heuristic methods; Markov processes; Optimization, Evolutionary computing; Metaheuristic; Monkey algorithms; Non-congruent circles; Packing problems, Intelligent computing
Depositing User: Ms Sharifah Fahimah Saiyed Yeop
Date Deposited: 19 Aug 2021 08:08
Last Modified: 19 Aug 2021 08:08
URI: http://scholars.utp.edu.my/id/eprint/23667

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