Minkowski's convex body theorem and integer programming
Mathematics of Operations Research
Discrete event sequencing as a Traveling Salesman Problem
Computers in Industry
Primary production scheduling at steelmaking industries
IBM Journal of Research and Development
Computers and Operations Research
Variable Neighborhood Decomposition Search
Journal of Heuristics
An efficient variable neighborhood search heuristic for very large scale vehicle routing problems
Computers and Operations Research
Production design for plate products in the steel industry
IBM Journal of Research and Development - Business optimization
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The planning for rectangular plate products (slabs) in an integrated steel plant is extremely hard and important. Due to the large scale and complex integrated operational constraints, the planning problem is quite difficult to achieve an optimal solution even a feasible solution. From the practical point of view, this paper discusses an integrated charge planning (ICP) problem, with flexible product specifications. The purpose is to improve the efficiency and feasibility of planning, the customer satisfaction levels and the production costs, considering the integrated operational constraints. An integer programming model is formulated, and the problem is NP-hard. A new heuristics based on a variable neighborhood search (VNS), named the guided VNS embedded in harmony search, is designed. The computational results demonstrate that the proposed model and algorithm are feasible and effective for ICP.