Minimizing makespan in a two-machine flowshop with a limited waiting time constraint and sequence-dependent setup times

2016 ◽  
Vol 71 ◽  
pp. 127-136 ◽  
Author(s):  
Young-Jin An ◽  
Yeong-Dae Kim ◽  
Seong-Woo Choi
2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Ju-Yong Lee

This study considers a two-machine flowshop with a limited waiting time constraint between the two machines and sequence-dependent setup times on the second machine. These characteristics are motivated from semiconductor manufacturing systems. The objective of this scheduling problem is to minimize the total tardiness. In this study, a mixed-integer linear programming formulation was provided to define the problem mathematically and used to find optimal solutions using a mathematical programming solver, CPLEX. As CPLEX required a significantly long computation time because this problem is known to be NP-complete, a genetic algorithm was proposed to solve the problem within a short computation time. Computational experiments were performed to evaluate the performance of the proposed algorithm and the suggested GA outperformed the other heuristics considered in the study.


2017 ◽  
Vol 107 (04) ◽  
pp. 282-287
Author(s):  
F. Engehausen ◽  
H. Prof. Lödding

Viele Unternehmen nutzen Rüstzyklen, um Rüstaufwände bei besonders reihenfolgeabhängigen Rüstzeiten zu verringern und nehmen dafür höhere Bestände und Durchlaufzeiten in Kauf. Rüstzykluskennlinien gestatten es, diesen Zielkonflikt zu modellieren und übersichtlich darzustellen. Dieser Fachartikel erklärt, welche Größen einen besonderen Einfluss auf den Verlauf der Kennlinien haben und wie diese in die Modellierung integriert werden.   In the case of sequence-dependent setup times many companies use setup cycles to reduce setup costs accepting higher WIP levels and throughput times. Logistic operating curves for setup cycles enable the illustration of this trade-off and a logistic positioning. This article explains which variables have a particular influence on the characteristics of the operating curves and how they are integrated into the modeling.


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