Two-stage updating pheromone for invariant ant colony optimization algorithm

Ant colony optimization (ACO) is a metaheuristic approach for combinatorial optimization problems. With the introduction of hypercube framework, invariance property of ACO algorithms draws more attention. In this paper, we propose a novel two-stage updating pheromone for invariant ant colony optimization (TSIACO) algorithm. Compared with standard ACO algorithms, TSIACO algorithm uses solution order other than solution itself as independent variable for quality function. In addition, the pheromone trail is updated with two stages: in one stage, the first r iterative optimal solutions are employed to enhance search capability, and in another stage, only optimal solution is used to accelerate the speed of convergence. And besides, the pheromone value is limited to an interval. We prove that TSIACO not only has the property of linear transformational invariance but also has translational invariance. We also prove that the pheromone trail can limit to the interval (0, 1]. Computational results on the traveling salesman problem show the effectiveness of TSIACO algorithm.     

Multi-satellite control resource scheduling based on ant colony optimization

The multi-satellite control resource scheduling problem (MSCRSP) is a kind of large-scale combinatorial optimization problem. As the solution space of the problem is sparse, the optimization process is very complicated. Ant colony optimization as one of heuristic method is wildly used by other researchers to solve many practical problems. An algorithm of multi-satellite control resource scheduling problem based on ant colony optimization (MSCRSP–ACO) is presented in this paper. The main idea of MSCRSP–ACO is that pheromone trail update by two stages to avoid algorithm trapping into local optima. The main procedures of this algorithm contain three processes. Firstly, the data get by satellite control center should be preprocessed according to visible arcs. Secondly, aiming to minimize the working burden as optimization objective, the optimization model of MSCRSP, called complex independent set model (CISM), is developed based on visible arcs and working periods. Ant colony algorithm can be used directly to solve CISM. Lastly, a novel ant colony algorithm, called MSCRSP–ACO, is applied to CISM. From the definition of pheromone and heuristic information to the updating strategy of pheromone is described detailed. The effect of parameters on the algorithm performance is also studied by experimental method. The experiment results demonstrate that the global exploration ability and solution quality of the MSCRSP–ACO is superior to existed algorithms such as genetic algorithm, iterative repair algorithm and max–min ant system.     

基于粗糙集的蚁群算法不确定性分析

蚁群算法中的信息素更新对整个算法的性能起到决定性的作用.在时蚁群算法进行系统仿真实验过程中,发现存在多种不确定因素影响信息素的更新.粗糙集是一种处理不确定和模糊知识的工具,本文利用粗糙集对试验结果进行了分析,给出了不确定因素之间的关系,并根据分析结果对信息素更新策略作了相应的改进,提高了算法的性能.     

改进蚁群算法在基于服务质量的Web服务组合优化中的应用

为了克服基础蚁群算法存在的前期搜索速度较慢、后期极易陷入局部最优解的缺点,提出初始信息素分布策略和局部优化策略;同时还提出了依赖解的质量的信息素更新依据,以增强算法过程中信息素的有效积累。将该改进蚁群算法应用于基于服务质量(QoS)的Web服务组合优化问题中,通过在数据集QWS2.0上的实验对改进蚁群算法的可用性和有效性进行了验证。结果表明改进的蚁群算法与基础蚁群算法、利用解与理想解距离更新信息素的改进蚁群算法以及用支配程度作为解的个体评价的改进遗传算法相比,能够找到更多的非劣解,寻优能力更优,表现出了较稳定的性能。     

基于重要解成分的信息素更新策略

蚁群优化算法通过信息素记录搜索过程中获取的知识,并基于信息素搜索新的解,因此好的信息素更新策略对蚁群优化算法至关重要。针对不同解成分的贡献不同的特点,提出了新的信息素更新策略:首先识别候选解的重要成分,然后在更新信息素时只允许重要的解成分得到加强。基于新的更新策略更新的信息素更好地反映了优质解的特点,从而加快了信息的正反馈过程。以4阶欺骗问题为例,验证了新算法的有效性。     

Three-dimension path planning for UCAV using hybrid meta-heuristic ACO-DE algorithm

Three-dimension path planning of uninhabited combat air vehicle (UCAV) is a complicated optimal problem, which mainly focuses on optimizing the flight route considering the different types of constrains under complicated combating environments. A new hybrid meta-heuristic ant colony optimization (ACO) and differential evolution (DE) algorithm is proposed to solve the UCAV three-dimension path planning problem. DE is applied to optimize the pheromone trail of the improved ACO model during the process of ant pheromone updating. Then, the UCAV can find the safe path by connecting the chosen nodes of the three-dimensional mesh while avoiding the threats area and costing minimum fuel. This new approach can accelerate the global convergence speed while preserving the strong robustness of the basic ACO. The realization procedure for this hybrid meta-heuristic approach is also presented in detail. In order to make the optimized UCAV path more feasible, the к-trajectory is adopted for smoothing the path. Finally, series experimental comparison results demonstrate that this proposed hybrid meta-heuristic method is more effective and feasible in UCAV three-dimension path planning than the basic ACO model.     

一种改进的蚁群算法在TSP问题中的应用研究

蚁群算法是近几年发展起来的一种新型的拟生态启发式算法,它已经被成功地应用在旅行商(TSP)问题上.由于基本蚁群算法存在过早陷入局部最优解和收敛性较差等缺点,文中对基本蚁群算法在基于蚁群系统的基础上进行了改进,在信息素的更新和解的搜索过程中更多地关注了局部最优解的信息,以使算法尽可能地跳出局部最优,并且改进后的算法对一些关键参数更容易控制.多次实验表明改进的蚁群算法在解决TSP问题上与基本蚁群算法相比有较好的寻优能力和收敛能力.这种算法可以应用在其它组合优化问题上,有一定的工程应用价值.     

一种求解TSP问题的ACO&SS算法设计

提出一种求解旅行商(TSP)问题的新型分散搜索算法.将蚁群算法(ACO)的构解方法引入分散搜索(SS)算法,在搜索过程中既考虑解的质量,又考虑解的分散性.采用一种将蚁群算法的信息素更新技术与分散搜索的组合机制相结合的新型子集组合成新解的构解机制,同时采用动态更新参考集与临界准则策略来加快收敛速度.实验结果表明,该算法优于其他现有的方法,获得了较好的结果.     

Applying multi-objective ant colony optimization algorithm for solving the unequal area facility layout problems

The unequal area facility layout problem (UA-FLP) which deals with the layout of departments in a facility comprises of a class of extremely difficult and widely applicable multi-objective optimization problems with constraints arising in diverse areas and meeting the requirements for real-world applications. Based on the heuristic strategy, the problem is first converted into an unconstrained optimization problem. Then, we use a modified version of the multi-objective ant colony optimization (MOACO) algorithm which is a heuristic global optimization algorithm and has shown promising performances in solving many optimization problems to solve the multi-objective UA-FLP. In the modified MOACO algorithm, the ACO with heuristic layout updating strategy which is proposed to update the layouts and add the diversity of solutions is a discrete ACO algorithm, with a difference from general ACO algorithms for discrete domains which perform an incremental construction of solutions but the ACO in this paper does not. We propose a novel pheromone update method and combine the Pareto optimization based on the local pheromone communication and the global search based on the niche technology to obtain Pareto-optimal solutions of the problem. In addition, the combination of the local search based on the adaptive gradient method and the heuristic department deformation strategy is applied to deal with the non-overlapping constraint between departments so as to obtain feasible solutions. Ten benchmark instances from the literature are tested. The experimental results show that the proposed MOACO algorithm is an effective method for solving the UA-FLP.     

基于免疫修复的快速蚁群优化算法

蚁群优化算法通过信息素记录搜索过程中获取的知识,并基于信息素搜索新的解．影响信息素质量的因素主要是信息素更新策略和蚂蚁已找到的候选解的质量．为了提高已有候选解的质量,提出基于免疫原理识别候选解中的“病变”成分,并对其“病变”成分进行修复．经免疫修复后,候选解的质量大大提高,由它更新的信息素更好地反映了优质解的特点,从而加快了信息的正反馈过程．实验结果验证了该算法的有效性．     

基于变异和动态信息素更新的蚁群优化算法

尽管蚁群优化算法在优化计算中已得到了很多应用,但在进行大规模优化时,其收敛时间过长仍是应用该算法的一个瓶颈.为此,提出了一种高速收敛算法.该算法采用一种新颖的动态信息素更新策略,以保证在每次搜索中,每只蚂蚁都对搜索做出贡献;同时,还采取了一种独特的变异策略,以对每次搜索的结果进行优化.计算机实验结果表明,该算法与最新的改进蚁群优化算法相比,其收敛速度提高了数十倍乃至数百倍以上.     

基于新型信息素更新策略的蚁群算法*

深入研究了蚁群优化算法（ACO）的路径搜索及参数控制策略,分析了其存在的缺陷。为了提高ACO算法的解题能力,提出一种新型信息素更新策略（PACS）,然后将PACS算法与其他蚁群算法分别应用于旅行商问题（TSP）进行仿真实验。仿真结果表明,PACS算法具有优良的全局优化性能,可抑制算法过早收敛于次优解,有效防止了停滞现象,收敛速度也大大加快。     

基于改进蚁群算法的模糊控制器优化设计

研究控制器优化问题,由于模糊控制系统参数无法同时优化,使得系统选择参数困难,使系统控制效果存在一定的缺陷,安全性和可靠性降低。为解决上述问题,提出了一种多种群进化蚁群算法对模糊控制器优化设计。采用懒蚂蚁效应的改进蚁群算法进行优化,在传统蚁群算法的基础上,采用多个种群并行,对算法的初始化、路径构建以及信息素更新改进,并引入到模糊控制器的隶属函数、模糊规则的优化搜索中,搜索出适应于不同控制阶段的模糊控制器参数及控制规则,并进行仿真。仿真结果证明了改进算法对模糊控制器的参数具有良好的搜索速度和精度,使系统有很强的鲁棒性。     

Search bias in ant colony optimization: on the role of competition-balanced systems

One of the problems encountered when applying ant colony optimization (ACO) to combinatorial optimization problems is that the search process is sometimes biased by algorithm features such as the pheromone model and the solution construction process. Sometimes this bias is harmful and results in a decrease in algorithm performance over time, which is called second-order deception. In this work, we study the reasons for the occurrence of second-order deception. In this context, we introduce the concept of competition-balanced system (CBS), which is a property of the combination of an ACO algorithm with a problem instance. We show by means of an example that combinations of ACO algorithms with problem instances that are not CBSs may suffer from a bias that leads to second-order deception. Finally, we show that the choice of an appropriate pheromone model is crucial for the success of the ACO algorithm, and it can help avoid second-order deception.     

Replenishment policy based on modified ant colony optimisation and statistical analysis under the pre-order penetration point

In the supply chain, most businesses in the pre-order penetration point (pre-OPP) operate under the forecast-driven mode, so that the decisions regarding inventory are made in accordance with the forecast and replenishment planning. This paper considers the stochastic dynamic lot-sizing problem of the two-phased transportation cost, service level constraint, and cash flow under a non-deterministic demand. This problem includes a nonlinear integer programming sub-problem. Therefore, this paper proposes an optimisation replenishment policy method based on modified ant colony optimisation (ACO) and response surface methodology. The main differences between the modified ACO and the traditional ACO lie in the modified update of pheromone intensity and the dynamic mutation operator. The experimental result shows that when the demand is normal distribution, the proposed approach, successfully finds the stationary point of minimum response. Besides, in the test of the algorithm solution quality, the modified ACO is better than the traditional ACO in all scenarios.     

基于启发式蚁群算法的VRP问题研究

针对蚁群算法求解VRP问题时收敛速度慢,求解质量不高的缺点,把城市和仓库间的距离矩阵和路径节约矩阵信息融入到初始信息素矩阵中作为启发式信息引入到蚁群算法中用于求解有容量限制的车辆路径规划问题（CVRP）,在三个基准数据集上的实验研究表明,基于启发式信息的蚁群算法与基本蚁群算法相比能够以较快的速度收敛到较好的解。     

A new ant colony optimization algorithm for the multidimensional Knapsack problem

The paper proposes a new ant colony optimization (ACO) approach, called binary ant system (BAS), to multidimensional Knapsack problem (MKP). Different from other ACO-based algorithms applied to MKP, BAS uses a pheromone laying method specially designed for the binary solution structure, and allows the generation of infeasible solutions in the solution construction procedure. A problem specific repair operator is incorporated to repair the infeasible solutions generated in every iteration. Pheromone update rule is designed in such a way that pheromone on the paths can be directly regarded as selecting probability. To avoid premature convergence, the pheromone re-initialization and different pheromone intensification strategy depending on the convergence status of the algorithm are incorporated. Experimental results show the advantages of BAS over other ACO-based approaches for the benchmark problems selected from OR library.     

An efficient hybrid algorithm for resource-constrained project scheduling

We propose an efficient hybrid algorithm, known as ACOSS, for solving resource-constrained project scheduling problems (RCPSP) in real-time. The ACOSS algorithm combines a local search strategy, ant colony optimization (ACO), and a scatter search (SS) in an iterative process. In this process, ACO first searches the solution space and generates activity lists to provide the initial population for the SS algorithm. Then, the SS algorithm builds a reference set from the pheromone trails of the ACO, and improves these to obtain better solutions. Thereafter, the ACO uses the improved solutions to update the pheromone set. Finally in this iteration, the ACO searches the solution set using the new pheromone trails after the SS has terminated. In ACOSS, ACO and the SS share the solution space for efficient exchange of the solution set. The ACOSS algorithm is compared with state-of-the-art algorithms using a set of standard problems available in the literature. The experimental results validate the efficiency of the proposed algorithm.     

基于转角约束的改进蚁群优化算法路径规划

针对传统蚁群优化（ACO）算法搜索路径时易陷入局部最优、路径过长、转弯角度过大等问题,提出一种基于转弯角度约束的改进ACO算法。首先,增加起始点与目标点之间区域的初始信息素浓度,以避免初期盲目搜索;然后,在启发函数中加入A^*算法的估价函数和转弯角度因子,以便在下一步选择路径长度和转角次数综合最优的节点;最后,在信息素更新部分引入狼群算法的分配原则,来加强优质种群的影响力,同时借鉴最大最小蚁群（MMAS）算法进行信息素浓度的限制,从而避免算法陷入局部最优。Matlab仿真结果表明,改进算法与传统ACO算法相比,规划出的路径长度缩短了13.7%,转弯次数减小了64.3%,累计转弯角度减少了76.7%。实验结果表明,所提改进算法能有效解决全局路径规划问题,避免了移动机器人过多的能耗损失。     

时间依赖型车辆路径问题的一种改进蚁群算法

时间依赖型车辆路径规划问题(TDVRP),是研究路段行程时间随出发时刻变化的路网环境下的车辆路径优化.传统车辆路径问题(VRP)已被证明是NP-hard问题,因此,考虑交通状况时变特征的TDVRP问题求解更为困难.本文设计了一种TDVRP问题的改进蚁群算法,采用基于最小成本的最邻近法(NNC算法)生成蚁群算法的初始可行解,通过局部搜索操作提高可行解的质量,采用最大--最小蚂蚁系统信息素更新策略.测试结果表明,与最邻近算法和遗传算法相比,改进蚁群算法具有更高的效率,能够得到更优的结果;对于大规模TDVRP问题,改进蚁群算法也表现出良好的性能,即使客户节点数量达到1000,算法的优化时间依然在可接受的范围内.