NDLI: Scheduling a real-world hybrid flow shop with variable processing times using Lagrangian relaxation

Content Provider	Springer Nature Link
Author	Sun, Liangliang Yu, Shengping
Copyright Year	2015
Abstract	This paper studies a real-world hybrid flow shop problem arising from the steelmaking continuous casting process, which is the bottleneck of the iron and steel production. There are a variety of features to be taken into account, in particular, the batch constraints and the variable processing times in the last stages. Based on a time-index formulation and machine capacity relaxation, three Lagrangian relaxation (LR) approaches are presented to address this scheduling problem. The three LR approaches decompose the relaxed problem into job-level problems, batch-level problems, and machine-level problems, respectively. These subproblems are solved based on polynomial dynamic programming algorithms. An efficient subgradient algorithm solves the corresponding Lagrangian dual (LD) problems with global convergence. Computational results and comparisons demonstrate that the approach adopting job-level decomposition could get the nearest optimal scheduling within acceptable time among the three approaches and is suitable for making static scheduling which pursuits optimization quality rather than calculation time. The approach adopting machine-level decomposition could get acceptable optimal results in the shortest time and is the best choice for making rescheduling which requires the quick response for the dynamic disturbances.
Starting Page	1961
Ending Page	1970
Page Count	10
File Format	PDF
ISSN	02683768
Journal	The International Journal of Advanced Manufacturing Technology
Volume Number	78
Issue Number	9-12
e-ISSN	14333015
Language	English
Publisher	Springer London
Publisher Date	2015-01-21
Publisher Place	London
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Scheduling Hybrid flow shop Lagrangian relaxation Subgradient optimization Steelmaking-continuous casting Industrial and Production Engineering Production/Logistics/Supply Chain Mechanical Engineering Computer-Aided Engineering (CAD, CAE) and Design
Content Type	Text
Resource Type	Article
Subject	Industrial and Manufacturing Engineering Control and Systems Engineering Mechanical Engineering Computer Science Applications Software

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