Title: Research on steelmaking-continuous casting cast batch planning based on an improved surrogate absolute-value Lagrangian relaxation framework

Authors: Congxin Li; Liangliang Sun

Addresses: School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang, 110168, China ' School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang, 110168, China; School of Control Engineering, Northeastern University at Qinghuangdao, Qinghuangdao, 066004, China

Abstract: Cast batch planning (CBP) is the bottleneck of batch planning in the steelmaking-continuous casting-hot rolling (SM-CC-HR) section. With the rapid development of the market-oriented demand of steel enterprises to multiple species, small batches, and on-time delivery, the batch planning integrated production process has dramatically increased the flexibility of the CBP as well as the functional requirements of the time dynamic balance. Therefore, it is of great significance to research the method of CBP to improve production efficiency and reduce material and energy consumption. In this paper, based on the improved surrogate absolute-value Lagrangian relaxation (ISAVLR) framework, the heuristic method based on a multiplier iteration strategy with controllable gradient direction combined with a local search (LS) algorithm is proposed. The 'zigzagging' problem in the traditional Lagrangian relaxation (LR) is overcome and the solution efficiency is improved while the original problem is provided with tighter lower bounds. Finally, simulation experiments based on real production data verify the effectiveness of the proposed method.

Keywords: steelmaking-continuous casting; ISAVLR; improved surrogate absolute-value Lagrangian relaxation; CBP; cast batch planning; heuristic.

DOI: 10.1504/IJAAC.2025.142997

International Journal of Automation and Control, 2025 Vol.19 No.1, pp.37 - 58

Received: 12 Sep 2023
Accepted: 15 Feb 2024
Published online: 02 Dec 2024 *

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