改进的遗传算法求解旅行商问题

提出一种解决旅行商问题的改进遗传算法.在传统遗传算法的基础上,引入贪婪算法进行种群初始化;从遗传进化代数和个体适应函数值两个方面实现遗传参数自适应调节,在加快寻优速度的同时防止寻优陷入局部最优;采用基于贪婪方法的启发式交叉算子优化交叉结果;对交叉前后的种群分别实施精英个体保留策略,保证最优基因结构得以延续.实验结果分析表明,改进的遗传算法可以在种群规模较小的情况下具有更可靠的寻优能力.     

协同干扰节点资源优化分配模型及算法

针对协同干扰节点资源优化分配问题,通过引入协同干扰组的概念,建立了协同干扰节点优化分组模型,将系统有效干扰时间优化简化为协同干扰节点分组数优化,并考虑了协同干扰组对目标通信压制的误码率约束,保证有效压制干扰下系统工作时间最长。结合智能优化算法,提出了基于遗传算法的干扰机节点分组优化求解方法,给出了具体的求解步骤,并与贪婪算法结果进行比较。最后通过实例仿真验证了方法的有效性和优越性。     

改进遗传算法在磁性材料组炉优化问题中的应用

牌号、交货日期、优先级、需求量等是磁性材料生产工单的属性,计划员需要依据上述属性寻求最优的生产工单组合以最小化生产成本并提高生产效率.针对磁性材料企业人工组炉存在的组炉时间长,组炉结果不优化问题.本文建立了磁性材料生产工单组炉优化模型.提出将该组炉问题转化为伪旅行商问题,并采用一种改进遗传算法求解.染色体编码采用从1到N的自然数编码方式,并设计一种基于最早完工日期规则的初始种群产生方法.引入精英选择策略和改进的贪心三交叉算子,优化遗传算法收敛速度和精度;引入逆转算子,提高遗传算法全局搜索能力.基于实际生产数据的仿真实验表明,建立的磁性材料组炉优化模型是合适的,所提改进算法是有效的.     

Chemical reaction optimization with greedy strategy for the 0–1 knapsack problem

The 0–1 knapsack problem (KP01) is a well-known combinatorial optimization problem. It is an NP-hard problem which plays important roles in computing theory and in many real life applications. Chemical reaction optimization (CRO) is a new optimization framework, inspired by the nature of chemical reactions. CRO has demonstrated excellent performance in solving many engineering problems such as the quadratic assignment problem, neural network training, multimodal continuous problems, etc. This paper proposes a new chemical reaction optimization with greedy strategy algorithm (CROG) to solve KP01. The paper also explains the operator design and parameter turning methods for CROG. A new repair function integrating a greedy strategy and random selection is used to repair the infeasible solutions. The experimental results have proven the superior performance of CROG compared to genetic algorithm (GA), ant colony optimization (ACO) and quantum-inspired evolutionary algorithm (QEA).     

A Tax Integrated Approach for Global Supply Chain Network Planning

Globalization is here to stay. Companies source, manufacture, and sell across borders. There are several destinations available for undertaking these activities offering varying degrees of incentives and at each destination the company incurs a different delivery cost. Multinational companies need to make more realistic decisions about where to make, source, locate, move, and store products to minimize the total cost of delivery keeping in mind the incentives offered by the governments and the logistics costs at and from the location. Current literature on supply chain optimization does not emphasize on tax. To attract foreign investment, many developing economies have included tax-holidays in their export-import (EXIM) policy for companies operating in free trade zones (FTZs). In this paper, we propose a tax integrated mixed integer model, for optimally deciding the foreign direct investment (FDI)-outsourcing (the choice of establishing captive production centers versus complete outsourcing) alternatives at the various stages of a global supply chain. For a general acyclic supply chain, this decision problem is NP-hard and obtaining analytical results on optimal FDI-outsourcing strategy may be difficult. We linearize the tax integrated model by introducing exactly one hub at each stage. In this case, termed hub-based sourcing-single hub case, we prove that the greedy strategy is an optimal FDI-outsourcing strategy. However, by associating multiple hubs at each stage the decision problem remains NP-hard. Finally, we empirically analyze the tax integrated model (for the general case) on a use-case scenario in which some locations in the choice have free trade zones offering tax incentives.     

On efficient deployment of sensors on planar grid

One practical goal of sensor deployment in the design of distributed sensor systems is to achieve an optimal monitoring and surveillance of a target region. The optimality of a sensor deployment scheme is a tradeoff between implementation cost and coverage quality levels. In this paper, we consider a probabilistic sensing model that provides different sensing capabilities in terms of coverage range and detection quality with different costs. A sensor deployment problem for a planar grid region is formulated as a combinatorial optimization problem with the objective of maximizing the overall detection probability within a given deployment cost. This problem is shown to be NP-complete and an approximate solution is proposed based on a two-dimensional genetic algorithm. The solution is obtained by the specific choices of genetic encoding, fitness function, and genetic operators such as crossover, mutation, translocation for this problem. Simulation results of various problem sizes are presented to show the benefits of this method as well as its comparative performance with a greedy sensor placement method.     

求解0-1背包问题的改进混合遗传算法

针对一种混合遗传算法所采用的贪心变换法的不足,给出了一种改进的贪心修正法;并基于稳态复制的策略,对遗传算法的选择操作进行改进,给出了随机选择操作。在此基础上,提出了一种改进的混合遗传算法,并将新算法用于解决大规模的0-1背包问题,通过实例将新算法与 HGA 算法进行实验对比分析,并研究了变异概率对新算法性能的影响。实验结果表明新算法收敛速度快,寻优能力强。     

Poissonian Two-Armed Bandit: A New Approach

We consider a new approach to the continuous-time two-armed bandit problem in which incomes are described by Poisson processes. For this purpose, first, the control horizon is divided into equal consecutive half-intervals in which the strategy remains constant, and the incomes arrive in batches corresponding to these half-intervals. For finding the optimal piecewise constant Bayesian strategy and its corresponding Bayesian risk, a recursive difference equation is derived. The existence of a limiting value of the Bayesian risk when the number of half-intervals grows infinitely is established, and a partial differential equation for finding it is derived. Second, unlike previously considered settings of this problem, we analyze the strategy as a function of the current history of the controlled process rather than of the evolution of the posterior distribution. This removes the requirement of finiteness of the set of admissible parameters, which was imposed in previous settings. Simulation shows that in order to find the Bayesian and minimax strategies and risks in practice, it is sufficient to partition the arriving incomes into 30 batches. In the case of the minimax setting, it is shown that optimal processing of arriving incomes one by one is not more efficient than optimal batch processing if the control horizon grows infinitely.

     

The Virtue of Patience in Low-Complexity Scheduling of Packetized Media With Feedback

We consider streaming pre-encoded and packetized media over best-effort networks in the presence of acknowledgment feedbacks. We first review a rate-distortion (RD) optimization framework that can be employed in such scenarios. As part of the framework, a scheduling algorithm selects the data to send over the network at any given time, so as to minimize the end-to-end distortion, given an estimate of channel resources and a history of previous transmissions and received acknowledgements. In practice, a greedy scheduling strategy is often considered to limit the solution search space, and reduce the computational complexity associated to the RD optimization framework. Our work observes that popular greedy schedulers are strongly penalized by early retransmissions. Therefore, we propose a scheduling algorithm that avoids premature retransmissions, while preserving the low computational complexity aspect of the greedy paradigm. Such a scheduling strategy maintains close to optimal RD performance when adapting to network bandwidth fluctuations. Our experimental results demonstrate that the proposed patient greedy scheduler provides a reduction of up to 50% in transmission rate relative to conventional greedy approaches, and that it brings up to 2 dB of quality improvement in scheduling classical MPEG-based packet video streams     

基于强化学习的HP模型优化方法研究

蛋白质结构预测问题一直是生物信息学中的重要问题。基于疏水极性模型的蛋白质二维结构预测问题是一个典型的NP难问题。目前疏水极性模型优化的方法有贪心算法、粒子群算法、遗传算法、蚁群算法和蒙特卡罗模拟方法等，但这些方法成功收敛的鲁棒性不高，容易陷入局部最优。由此提出一种基于强化学习的HP模型优化方法，利用其连续马尔可夫最优决策与最大化全局累计回报的特点，在全状态空间中，构建基于能量函数的奖赏函数，引入刚性重叠检测规则，充分挖掘生物序列中的全局进化关系，从而进行有效与稳定的预测。以3条经典论文序列和5条Uniref50序列为实验对象，与贪心算法和粒子群算法分别进行了鲁棒性、收敛性与运行时间的比较。贪心算法只能在62.5%的序列上进行收敛，该文方法能在5万次训练后稳定的在所有序列上达到了收敛。与粒子群算法相比，两者都能找到最低能量结构，但该文的运行时间较粒子群算法降低了63.9%。     

基于越界重置和高斯变异的蝙蝠优化算法

针对蝙蝠算法个体越界、易早熟收敛的问题，提出一种基于越界重置和高斯变异的蝙蝠优化算法。新算法将飞越解空间边界的个体拉回解空间内，利用越界重置策略重新分配位置。通过高斯变异策略控制个体的搜索范围，使种群以最优解为中心向四周呈放射状搜索，增强了算法的局部搜索和全局寻优能力。蝙蝠算法在靠近目标解时响度和脉冲发射频率更新不协调，影响了算法的持续进化能力,通过线性渐变策略保证响度和脉冲发射频率的变化与算法持续进化相适应。研究了在解空间不同位置关系的情况下新算法和对比算法的优化能力，并结合实验数据对算法收敛稳定性进行分析。实验结果表明，提出的新算法具有较好的收敛速度和精度，其全局寻优能力和高维问题优化能力体现了很好的鲁棒性。     

一种快速、贪心的高斯混合模型EM算法研究

针对传统EM算法存在初始模型成分数目需要预先指定以及收敛速度随样本数目的增长而急剧减慢等问题,提出了一种快速、贪心的高斯混合模型EM算法。该算法采用贪心的策略以及对隐含参数设置适当阈值的方法,使算法能够快速收敛,从而在很少的迭代次数内获取高斯混合模型的模型成分数。该算法通过与传统EM算法、无监督EM算法和鲁棒EM算法的聚类结果进行比较,实验结果证明该算法具有很强的鲁棒性,并且能够提高算法的效率以及模型成分数的准确性。     

Accelerated Bayesian learning for decentralized two-armed bandit based decision making with applications to the Goore Game

The two-armed bandit problem is a classical optimization problem where a decision maker sequentially pulls one of two arms attached to a gambling machine, with each pull resulting in a random reward. The reward distributions are unknown, and thus, one must balance between exploiting existing knowledge about the arms, and obtaining new information. Bandit problems are particularly fascinating because a large class of real world problems, including routing, Quality of Service (QoS) control, game playing, and resource allocation, can be solved in a decentralized manner when modeled as a system of interacting gambling machines. Although computationally intractable in many cases, Bayesian methods provide a standard for optimal decision making. This paper proposes a novel scheme for decentralized decision making based on the Goore Game in which each decision maker is inherently Bayesian in nature, yet avoids computational intractability by relying simply on updating the hyper parameters of sibling conjugate priors, and on random sampling from these posteriors. We further report theoretical results on the variance of the random rewards experienced by each individual decision maker. Based on these theoretical results, each decision maker is able to accelerate its own learning by taking advantage of the increasingly more reliable feedback that is obtained as exploration gradually turns into exploitation in bandit problem based learning. Extensive experiments, involving QoS control in simulated wireless sensor networks, demonstrate that the accelerated learning allows us to combine the benefits of conservative learning, which is high accuracy, with the benefits of hurried learning, which is fast convergence. In this manner, our scheme outperforms recently proposed Goore Game solution schemes, where one has to trade off accuracy with speed. As an additional benefit, performance also becomes more stable. We thus believe that our methodology opens avenues for improved performance in a number of applications of bandit based decentralized decision making.     

基于混合遗传模拟退火算法求解TSP问题

TSP问题是典型的NP-hard组合优化问题,遗传算法是求解此类问题的一种方法,但它存在如何较快地找到全局最优解,并防止“早熟”收敛的问题。针对上述问题并结合TSP问题的特点,提出将遗传算法与模拟退火算法相结合形成遗传模拟退火算法。为了解决群体的多样性和收敛速度的矛盾,采用了部分近邻法来生成初始种群,生成的初始种群优于随机产生初始种群。仿真实验结果证明,该算法相对于基本遗传算法的收敛速度、搜索质量和最优解输出概率方面有了明显的提高。     

舰船补给物料搬运顺序优化问题的改进遗传算法

现有的多搬运工具可并行条件下的物料搬运顺序优化模型, 其采用的标准遗传算法收敛速度慢且易陷入局部最优. 提出了该模型的改进遗传算法, 采用精英保留策略代替传统的轮盘选择方法, 使用自适应策略设计交叉算子和变异算子. 以某一具体的舰船补给物料搬运顺序优化问题为背景, 通过实例进行了计算. 结果表明, 改进遗传算法收敛速度大大提高, 具有较高的求解质量和效率.     

Extracting influential nodes on a social network for information diffusion

We address the combinatorial optimization problem of finding the most influential nodes on a large-scale social network for two widely-used fundamental stochastic diffusion models. The past study showed that a greedy strategy can give a good approximate solution to the problem. However, a conventional greedy method faces a computational problem. We propose a method of efficiently finding a good approximate solution to the problem under the greedy algorithm on the basis of bond percolation and graph theory, and compare the proposed method with the conventional method in terms of computational complexity in order to theoretically evaluate its effectiveness. The results show that the proposed method is expected to achieve a great reduction in computational cost. We further experimentally demonstrate that the proposed method is much more efficient than the conventional method using large-scale real-world networks including blog networks.     

Online linear optimization and adaptive routing

This paper studies an online linear optimization problem generalizing the multi-armed bandit problem. Motivated primarily by the task of designing adaptive routing algorithms for overlay networks, we present two randomized online algorithms for selecting a sequence of routing paths in a network with unknown edge delays varying adversarially over time. In contrast with earlier work on this problem, we assume that the only feedback after choosing such a path is the total end-to-end delay of the selected path. We present two algorithms whose regret is sublinear in the number of trials and polynomial in the size of the network. The first of these algorithms generalizes to solve any online linear optimization problem, given an oracle for optimizing linear functions over the set of strategies; our work may thus be interpreted as a general-purpose reduction from offline to online linear optimization. A key element of this algorithm is the notion of a barycentric spanner, a special type of basis for the vector space of strategies which allows any feasible strategy to be expressed as a linear combination of basis vectors using bounded coefficients.We also present a second algorithm for the online shortest path problem, which solves the problem using a chain of online decision oracles, one at each node of the graph. This has several advantages over the online linear optimization approach. First, it is effective against an adaptive adversary, whereas our linear optimization algorithm assumes an oblivious adversary. Second, even in the case of an oblivious adversary, the second algorithm performs slightly better than the first, as measured by their additive regret.     

基于混合遗传算法的任务驱动分组优化研究

智能算法应用到教学领域来实现自动分组具有重要意义。针对网络学习环境下任务驱动教学中如何按最优分组方案进行小组划分的问题,综合考虑了分组问题中学习者之间的特征差异和任务难易程度等影响因素,构建了基于任务驱动分组优化问题的数学模型,提出了基于混合遗传算法的任务驱动分组优化策略。在MATLAB7.0平台上,运用混合遗传算法对任务驱动的分组优化进行了仿真实验。实验结果表明,基于混合遗传算法的任务驱动分组优化是可行且有效的。     

Parallel design of robust control in the stochastic environment (the two-armed bandit problem)

The problem of rational behavior in the stochastic environment, also known as the two armed bandit problem, is considered in the robust (minimax) setting. A parallel strategy is proposed leading to control, which is arbitrary close to the optimal one for environments with gains having gaussian cumulative distribution functions with unit variance. The invariant recursive equation is obtained for computing the minimax strategy and risk, which are to be found as Bayesian ones associated with the worst-case a priori distribution. As a result, the well-known Vogel’s estimates of the minimax risk can be improved. Numerical experiments show that the strategy is efficient in the environments with non-gaussian distributions, e.g., the binary ones.     

基于文化混合优化算法的旅行商问题求解

为更好地求解TSP问题,将遗传算法与模拟退火算法结合并纳入文化算法体系,提出一种求解旅行商问题的文化混合优化算法。该算法空间可分为独立并行的两部分：种群空间和信度空间。种群空间按照遗传退火混合算法实现进化,并将进化中的较优个体提供给信度空间,信度空间提取并利用较优个体所包含的信息来引导种群进化。通过求解TSP标准测试问题,将文化混合优化算法所求得的最优路径与其他优化算法所求结果相比,算法偏差均可降低0.6%～13.01%,表明了文化混合优化算法求解TSP问题的有效性与优越性。