| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 28, Number 5, October 2023
|
|
|---|---|---|
| Page(s) | 433 - 440 | |
| DOI | https://doi.org/10.1051/wujns/2023285433 | |
| Published online | 10 November 2023 | |
Mathematics
CLC number: TB491
A Mixed-Integer Programming Formulation for a Simplified Model of the Double Row Layout Problem
1
Modern Educational Technology Center, Minjiang University, Fuzhou 350121, Fujian, China
2
College of Mathematics and Data Science, Minjiang University, Fuzhou 350121, Fujian, China
3
College of Computer and Control Engineering, Minjiang University, Fuzhou 350121, Fujian, China
† To whom correspondence should be addressed. E-mail: lingeng413@163.com
Received:
25
December
2022
The double row layout problem (DRLP) is to assign facilities on two rows in parallel so that the total cost of material handling among facilities is minimized. Since it is vital to save cost and enhance productivity, the DRLP plays an important role in many application fields. Nevertheless, it is very hard to handle the DRLP because of its complex model. In this paper, we consider a new simplified model for the DRLP (SM-DRLP) and provide a mixed integer programming (MIP) formulation for it. The continuous decision variables of the DRLP are divided into two parts: start points of double rows and adjustable clearances between adjacent facilities. The former one is considered in the new simplified model for the DRLP with the purpose of maintaining solution quality, while the latter one is not taken into account with the purpose of reducing computational time. To evaluate its performance, our SM-DRLP is compared with the model of a general DRLP and the model of another simplified DRLP. The experimental results show the efficiency of our proposed model.
Key words: facility layout / mixed integer programming / double row layout problem / production optimization / manufacturing design
Biography: GUAN Jian, male, Senior engineer, research direction: mathematical modeling and applications. E-mail: gjian_mail@163.com
Fundation item: Supported by the National Natural Science Foundation of China (61871204, 62174033), the Natural Science Foundation of Fujian Province (2017J01767, 2020J01843), and the Program for New Century Excellent Talents in Fujian Province University, the Science and Technology Project of Minjiang University (MYK19017)
© Wuhan University 2023
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