Abstract
Under the background of excess capacity and energy saving in iron and steel enterprises, the hot rolling batch scheduling problem based on energy saving is a multi-objective and multi constraint optimization problem. In this paper, a hybrid multi-objective prize-collecting vehicle routing problem (Hybrid Price Collect Vehicle Routing Problem, HPCVRP) model is established to ensure minimum energy consumption, meet process rules, and maximize resource utilization. A two-phase Pareto search algorithm (2PPLS) is designed to solve this model. The improved MOEA/D with a penalty based boundary intersection distance (PBI) algorithm (MOEA/D-PBI) is introduced to decompose the HPCVRP in the first phase. In the second phase, the multi-objective ant colony system (MOACS) and Pareto local search (PLS) algorithm is used to generate approximate Pareto-optimal solutions. The final solution is then selected according to the actual demand and preference. In the simulation experiment, the 2PPLS is compared with five other algorithms, which shows the superiority of 2PPLS. Finally, the experiment was carried out on actual slab data from a steel plant in Shanghai. The results show that the model and algorithm can effectively reduce the energy consumption in the process of hot rolling batch scheduling.
Highlights
Hot rolling is one of the three processes required for iron and steel production
As hot-rolling process is the final procedure among the three steps of steel making, the slab rolling order directly affects the quality of products and energy consumption; the slab preparation staff should develop a reasonable schedule based on the process, resources, and energy constraints
Zangari M, Pozo A, Santana R, et al (2017) have presented a preliminary study on an algorithm based on MOEA/D framework and the bio-inspired metaheuristic called binary ant colony optimization (BACO) [10], The results have shown that the proposed MOEA/D-BACO has outperformed MOEA/D, which uses genetic operators, in most of the test instances
Summary
Hot rolling is one of the three processes required for iron and steel production. It needs to meet the requirements of multiple objectives and multiple constraints. HRBS is an energy intensive production process in the iron and steel industry It converts steel slabs at high temperatures in hot rolling process into steel strips. Hot rolling steel is a customer individual product; the final dimensions of the steel strip after hot rolling are determined by the customer’s requirement This process requires a different heating temperature; a reasonable planning task of HRBS can effectively solve the problem of energy consumption [2,3,4]. As hot-rolling process is the final procedure among the three steps of steel making, the slab rolling order directly affects the quality of products and energy consumption; the slab preparation staff should develop a reasonable schedule based on the process, resources, and energy constraints. A reasonable scheduling scheme needs to meet the following objectives: 1. Process conditions to be met: To ensure that the slab meets the surface and physical requirements for the front and rear slab width, thickness, and hardness, for the minimum penalty jump
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