Hybrid Ant colony System for solving Quadratic Assignment Formulation of Machine Layout Problems

A. Ramkumar, S. Ponnambalam
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引用次数: 19

Abstract

The quadratic assignment problems (QAPs) are the problem of assigning 'n' facilities to 'n' locations so that the assignment cost is minimized, where the cost is defined by a quadratic function. In this paper we investigate and present the application of population based hybrid ant-colony system (PHAS) metaheuristic for solving machine (facility) layout problems formulated as quadratic assignment problem, a well-known NP hard combinatorial optimization problem. Ant-colony system is a model for designing metaheuristic algorithms for combinatorial optimization problems. The PHAS ant system algorithm incorporates population-based ants in its initial phase instead of small number of ants and probability based pheromone trail modification. We tested our algorithm on the benchmark instances of QAPLIB, a well-known library of QAP instances and the obtained solution quality is compared with solution obtained with standard guided local search algorithm for the same QAP
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求解机器布局问题二次分配公式的混合蚁群系统
二次分配问题(qap)是将“n”个设施分配给“n”个地点以使分配成本最小化的问题,其中成本由二次函数定义。本文研究了基于种群的混合蚁群系统(PHAS)元启发式算法在求解二次分配问题中的应用,这是一个著名的NP困难组合优化问题。蚁群系统是设计组合优化问题的元启发式算法的一个模型。PHAS蚂蚁系统算法在初始阶段引入了基于群体的蚂蚁,而不是基于小数量的蚂蚁和基于概率的信息素轨迹修改。我们在著名的QAP实例库QAPLIB的基准实例上测试了我们的算法,并将得到的解质量与标准引导局部搜索算法得到的解质量进行了比较
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