1. A mathematical model and artificial bee colony algorithm for the lexicographic bottleneck mixed-model assembly line balancing problem
- Author
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Kadir Buyukozkan, Sule Itir Satoglu, David Z. Zhang, Ibrahim Kucukkoc, and Mühendislik Fakültesi
- Subjects
0209 industrial biotechnology ,Mathematical optimization ,Workstation ,Mixed-Model Lines ,Computer science ,Assembly Line Balancing ,Reliability (computer networking) ,Artificial Bee Colony Algorithm ,02 engineering and technology ,Solver ,Lexicographical order ,Industrial and Manufacturing Engineering ,Bottleneck ,law.invention ,Domain (software engineering) ,Artificial bee colony algorithm ,020901 industrial engineering & automation ,Lexicographic Bottleneck ,Artificial Intelligence ,law ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,Line (text file) ,Software ,Mathematical Model - Abstract
Küçükkoç, İbrahim (Balikesir Author), Typically, the total number of required workstations are minimised for a given cycle time (this problem is referred to as type-1), or cycle time is minimised for a given number of workstations (this problem is referred to as type-2) in traditional balancing of assembly lines. However, variation in workload distributions of workstations is an important indicator of the quality of the obtained line balance. This needs to be taken into account to improve the reliability of an assembly line against unforeseeable circumstances, such as breakdowns or other failures. For this aim, a new problem, called lexicographic bottleneck mixed-model assembly line balancing problem (LB-MALBP), is presented and formalised. The lexicographic bottleneck objective, which was recently proposed for the simple single-model assembly line system in the literature, is considered for a mixed-model assembly line system. The mathematical model of the LB-MALBP is developed for the first time in the literature and coded in GAMS solver, and optimal solutions are presented for some small scale test problems available in the literature. As it is not possible to get optimal solutions for the large-scale instances, an artificial bee colony algorithm is also implemented for the solution of the LB-MALBP. The solution procedures of the algorithm are explored illustratively. The performance of the algorithm is also assessed using derived well-known test problems in this domain and promising results are observed in reasonable CPU times.
- Published
- 2019