转动圆桌平衡摆盘问题属带平衡性能约束的装填(Packing)布局优化问题,提出了其数学模型和启发式算法,包括模式迭换法和主布模法,用以构造布局拓扑模式,形成初始布局;推荐了在此初始布局下的寻优方法及技巧,以及给出了缓解组合爆炸的技巧,算法经算例验证。 Rotating round table balance swinging problem belongs to a packing layout optimization problem with balanced performance constraints. The mathematical model and heuristic algorithm are proposed, including the mode switching method and the main cloth modeling method, which are used to construct the layout topology mode and form the initial Layout, recommended optimization methods and techniques in this initial layout, as well as the skills to mitigate the combined explosion, the algorithm verified by examples.