Journal
IEEE ROBOTICS AND AUTOMATION LETTERS
Volume 7, Issue 4, Pages 10454-10461Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LRA.2022.3191967
Keywords
Scheduling; steelmaking-continuous casting; Lagrangian relaxation; convergence and oscillation
Categories
Funding
- National Natural Science Foundation of China [61873174]
- Liaoning Provincial Natural Science Foundation [2020KF-11-07]
- Ministry of Education Cooperative Education [201902233028]
- China Postdoctoral Science Foundation [2017M611261]
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With the growing market-oriented demand, the functional requirements for steelmaking-continuous casting (SCC) process have increased. This paper proposes an improved Lagrangian relaxation approach to effectively schedule the SCC process, aiming to enhance production efficiency and reduce material and energy consumption. The approach considers performance indexes and employs a target estimation level adjustment strategy to overcome convergence issues and oscillation in iteration.
With the rapid development of market-oriented demand of iron and steel enterprises towards multi variety, small batch and on-time delivery, the functional requirements of steelmaking-continuous casting (SCC) production process with multi different refining routes for the dynamic balance of logistics, resources and time increase sharply. An effective scheduling of SCC process is important significance for improving the efficiency of steelmaking production and reducing the material and energy consumption. This paper develops an improved Lagrangian relaxation (LR) approach to address this problem based on time-indexed formulation while considering SCC scheduling performance indexes: sojourn time and tardiness of each job in the last stage. A direction controllable target estimation level adjustment strategy with tighter lower bound is addressed to overcome the premature convergence and weaken the oscillation in LR iteration. Computational experiment is verified based on the actual steelmaking plant in China. The computational results show that the approach improves the schedule strategy for the actual SCC process, and promotes the development of the schedule theory with the separate structure characteristics.
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