15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
AN IMPROVED GENETIC ALGORITHM FOR RECTANGLES CUTTING & PACKING PROBLEM
Wang Shoukun, Wang Jingchun, Jin Yihui
Tsinghua University, Beijing 100084, P. R. China
Department of Automation, Tsinghua University, Beijing 100084, P. R. China

After reviewing the background and description of cutting and packing problem and packing algorithms, this paper proposes an improved genetic algorithm for non-guillotine rectangles packing problem. First, self-adaptive mutation probability is adopted to avoid pre-maturity, some commonly used crossover operators are compared, and a stochastic hill-climbing operator is designed to improve the local searching ability. Second, the greedy mechanism is introduced to acquire good packing pattern after packing order is determined by the GA. Computational results show the effectiveness of these improvements.
Keywords: Genetic algorithm, Random search, Heuristic search, Global optimization, Packing Problem
Session slot T-Fr-M21: Posters of Mining, Power Systems and Fault Detection/Area code 7b : Mining, Mineral and Metal Processing