Optimum design of post-tensioned flat slabs with its columns is complicated by the presence of many nonlinear constraints and the non-homogeneous nature of the material used. This study presents three design optimization algorithms where the design provisions are implemented in accordance with ACI 318-11. Design variables are divided into two groups. The first group of variables refers to post-tension slab including the thickness of slab, number of tendons and their section along each of the two directions, additional reinforcements at the top and bottom face of the slab and the punching shear reinforcements. The second group of variables is related with columns including cross-sectional dimensions, number, and diameter of reinforcements. The total cost of the structure is taken as objective function to be minimized which consists of the costs of concrete, reinforcements, formwork, and tendons. The optimization frameworks are based on Artificial Bee Colony (ABC), Particle Swarm Optimization (PSO) and Beetle Antenna Search (BAS). Each of the algorithms is enhanced with novel improvements. Two design examples, one small and one real size flat slab buildings are considered to demonstrate the application of the developed algorithms and compare their performance.

由于存在许多非线性约束和所用材料的非均质性，带有柱的后张平板的优化设计变得复杂。本研究介绍了三种设计优化算法，其中设计规定是根据 ACI 318-11 实施的。设计变量分为两组。第一组变量是指后张板，包括板的厚度、筋的数量及其沿两个方向的截面、板顶面和底面的附加钢筋以及冲剪钢筋。第二组变量与柱相关，包括横截面尺寸、数量和钢筋直径。结构的总成本被视为要最小化的目标函数，它包括混凝土、钢筋、模板和钢筋的成本。优化框架基于人工蜂群 (ABC)、粒子群优化 (PSO) 和甲壳虫天线搜索 (BAS)。每种算法都通过新颖的改进得到增强。考虑了两个设计示例，一个小型和一个实际尺寸的平板建筑，以演示所开发算法的应用并比较它们的性能。