Optimal plate design problem in steel production
研究了钢铁生产中联合考虑板坯选择的最优板坯设计问题，建立了混合整数非线性规划模型，并提出逻辑外逼近算法和两阶段启发式方法求解，数值实验证明算法有效且计算高效。
In this paper, we address a new optimal plate design problem in steel production, in which slab selection is jointly considered. On the basis of the underlying features, the problem is formulated as a mixed integer nonlinear programming (MINLP) model with generalized disjunctive programming (GDP) constraints. A logic-based outer approximation (L-OA) algorithm is proposed to solve the problem. Specifically, a two-stage heuristic method is designed to initialise the L-OA algorithm. Numerical results are presented to demonstrate that the proposed L-OA algorithm and the heuristic method are effective and computationally efficient.