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Mathematics 2019, 7(2), 154; https://doi.org/10.3390/math7020154

Monarch Butterfly Optimization for Facility Layout Design Based on a Single Loop Material Handling Path

School of Air Transport, Transportation and Logistics, Korea Aerospace University, 76, Hanggonddaehak-ro, Deoyang-gu, Goyang-si, Gyeonggi-do 10540, Korea
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Received: 26 December 2018 / Revised: 30 January 2019 / Accepted: 31 January 2019 / Published: 6 February 2019
(This article belongs to the Special Issue Evolutionary Computation)
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Abstract

Facility layout problems (FLPs) are concerned with the non-overlapping arrangement of facilities. The objective of many FLP-based studies is to minimize the total material handling cost between facilities, which are considered as rectangular blocks of given space. However, it is important to integrate a layout design associated with continual material flow when the system uses circulating material handling equipment. The present study proposes approaches to solve the layout design and shortest single loop material handling path. Monarch butterfly optimization (MBO), a recently-announced meta-heuristic algorithm, is applied to determine the layout configuration. A loop construction method is proposed to construct a single loop material handling path for the given layout in every MBO iteration. A slicing tree structure (STS) is used to represent the layout configuration in solution form. A total of 11 instances are tested to evaluate the algorithm’s performance. The proposed approach generates solutions as intended within a reasonable amount of time. View Full-Text
Keywords: facility layout design; single loop; monarch butterfly optimization; slicing tree structure; material handling path; integrated design facility layout design; single loop; monarch butterfly optimization; slicing tree structure; material handling path; integrated design
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Kim, M.; Chae, J. Monarch Butterfly Optimization for Facility Layout Design Based on a Single Loop Material Handling Path. Mathematics 2019, 7, 154.

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