最大受限路径相容约束传播算法的研究进展

约束传播技术对于约束满足问题的求解性能至关重要。约束传播技术在一个预处理过程中能彻底地移除一些局部不相容值,或者在搜索期间高效地剪枝搜索树。最大受限路径相容算法(max Restricted Path Consistency,maxRPC)是最近提出的一种强相容性约束传播算法,它能够删除更多不相容值,在解决复杂问题中取得了很好的效果。文中对弧相容算法AC和最大受限路径相容算法maxRPC的相关算法AC3,AC3rm,maxRPC1,maxRPC2,maxRPCrm,maxRPC3等及其相关变体分别进行介绍和比较。在Mistral求解器上的实验测试结果验证了各种算法的性能。     

约束满足问题并行弧相容算法

本文给出了约束满足问题网络弧相容的两个并行算法ＰＡＣ－１和ＰＡＣ－２。     

改进求解约束满足问题粗粒度弧相容算法

约束满足问题在人工智能领域有着广泛的应用.研究了约束满足问题的粗粒度维持弧相容求解算法,发现在求解过程中,对于指向已赋值变量的弧存在无效的修正检查,证明了这类修正检查是冗余的.提出一种方法避免这类冗余的修正检查,给出改进后的粗粒度弧相容算法的基本框架AC3_frame_ARR,该改进框架可用于改进所有粗粒度弧相容算法.实验结果表明,经过AC3_frame_ARR改进后的算法最多可以节省80%的修正检查次数和40%的求解耗时.     

负表约束的简单表缩减广泛弧相容算法

广泛弧相容算法（generalized arc consistency,简称GAC）,是求解约束满足问题的核心方法.表约束理论上可以表示所有约束关系,在过去10年中,有很多应用于表约束的广泛弧相容算法被提出来.在这些算法中,表缩减算法的效率非常高.但是目前的表缩减算法只能应用于正表约束,无法直接应用于负表约束.首先,提出一种表缩减算法STR-N,可以直接应用于负表约束;然后,给出了STR-N的两个改进版本STR-N2和STR-NIC.实验结果显示,STR-N算法在负表约束上的求解效率具有明显的优势.     

一种新的基于最大概率路径的中文分词

中文分词在自然语言处理中占据了十分重要的地位。为了提高中文分词的速度,论文提出了一种新的求解最大概率路径的方法。该方法主要分为两步：1）将词频总和的数值减小来解决下溢问题;2）避免使用复杂的计算方法,使用简单的除法操作来降低运行时间提高分词速度。最后,使用搜狗新闻数据集进行实验验证,新方法的中文分词速度相较于JIEBA的中文分词的速度显著提高,并且为了验证分词的性能,对准确率,召回率以及F1进行了计算,三个指标的值均可达到95%以上。     

基于GPU的约束网络模型和并行弧相容算法

弧相容算法是约束满足问题的基本压缩求解空间算法之一,很多优秀的高级算法都以高性能的弧相容算法作为核心.近年来,以GPU为计算工具加速并行计算被用来尝试解决许多问题.基于GPU和基本的并行算法,提出一种适合GPU运算的约束网络表示模型N-E,给出其生成算法BuildNE.结合细粒度的弧相容算法——AC4,基于N-E模型提出AC4的并行化算法AC4+GPU与改进算法AC4+GPU+,使弧相容算法得以扩展到GPU上执行.实验结果验证了该算法的可行性,与AC4算法的比较,其在一些规模较小的问题上取得了10%~50%的加速,在一些规模较大的问题上则加速1~2个数量级.为今后进一步在GPU上以并行形式解决其他约束满足问题提供了一种核心算法方案.     

等待时间受限Flowshop调度的HGA算法

针对等待时间受限的Flowshop调度问题,提出嵌入约束满足和变邻域搜索技术的混合遗传算法。该算法基于约束满足思想,通过递归回溯和约束传播修复工件的开工时间,以解消工件在相邻阶段的等待时间受限冲突,根据回溯工件的位置信息设计相应的交叉算子和变异算子,利用变邻域搜索技术增强算法的收敛性。仿真实验表明该混合遗传算法的有效性,并分析等待时间上限对目标值的影响。     

一种基于概率的路径预测与查询算法

研究了路网空间内的路径预测与查询技术,设计了基于统计信息和概率论的最优路径预测算法。实际应用中,路网错综复杂。提出可能路径集合的概念,并设计算法来提取当前路径预测涉及到的路网子网,减小路网规模和路径预测的复杂度。在空间网络环境下,现有移动对象位置预测技术主要针对短期预测,不能预测下一路口的交通情况。为了弥补这一缺陷,降低用户端的位置更新率,设计了路网移动模型来简洁描述提取自大量历史移动路径的移动统计特征,捕捉路口处转向模式。基于移动模型,提出了具有较高精度的交通预测模型来预测对象的运动路径。     

一种基于预处理技术的约束满足问题求解算法

相容性技术作为约束满足问题的一种有效求解技术,不论是在求解前的预处理过程中,还是在搜索过程中,都扮演着极为重要的角色.文中对预处理阶段的相容性技术进行改进和信息抽取,提出两种应用于搜索过程中的新算法Pre-AC和Pre-AC*,并嵌入到BT框架中,形成新的搜索算法BT MPAC和BT MPAC*,给出了其正确性证明,通过复杂性分析得到Pre-AC和Pre-AC*的时间复杂度分别是O(nd)和O(ed2),明显低于目前最流行的弧相容技术的时间复杂度O(ed3).实验测试结果表明:对于不同类别的用例,新算法的执行效率是弧相容维护算法的2~50倍.     

最大概率匹配的矢量量化编码算法

文章提出了一种最大概率匹配的矢量量化编码算法,它为码书中的每一码字增加一个计数器,统计在编码图象时每个码字的出现的频数,并进行排序;在量化矢量时,根据当前码字出现频数大小依次选择侯选码字,即频数大的码字优先选为候选码字。该算法可以和已有的预测法结合,形成预测加最大概率匹配的联合矢量量化编码算法。实验表明,联合算法的效率较高,在最初几次的搜索中就能以较高的命中率命中最佳匹配码字。     

Experimental Analysis of Numeric and Symbolic Constraint Satisfaction Techniques for Temporal Reasoning

Many temporal applications like planning and scheduling can be viewed as special cases of the numeric and symbolic temporal constraint satisfaction problem. Thus we have developed a temporal model, TemPro, based on the interval Algebra, to express such applications in term of qualitative and quantitative temporal constraints. TemPro extends the interval algebra relations of Allen to handle numeric information. To solve a constraint satisfaction problem, different approaches have been developed. These approaches generally use constraint propagation to simplify the original problem and backtracking to directly search for possible solutions. The constraint propagation can also be used during the backtracking to improve the performance of the search. The objective of this paper is to assess different policies for finding if a TemPro network is consistent. The main question we want to answer here is how much constraint propagation is useful for finding a single solution for a TemPro constraint graph. For this purpose, we have experimented by randomly generating large consistent networks for which either arc and/or path consistency algorithms (AC-3, AC-7 and PC-2) were applied. The main result of this study is an optimal policy combining these algorithms either at the symbolic (Allen relation propagation) or at the numerical level.     

On Parallel Partial Solutions and Approximation Schemes for Local Consistency in Networks of Constraints

A constraint network is arc consistent if any value of any of its variables is compatible with at least one value of any other variable. The Arc Consistency Problem (ACP) consists in filtering out values of the variables of a given network to obtain one that is arc consistent, without eliminating any solution. ACP is known to be inherently sequential, or P-complete, so in this paper we examine some weaker versions of it and their parallel complexity. We propose several natural approximation schemes for ACP and show that they are also P-complete. In an attempt to overcome these negative results, we turn our attention to the problem of filtering out values from the variables so that each value in the resulting network is compatible with at least one value of not necessarily all, but a constant fraction of the other variables. We call such a network partially arc consistent. We give a parallel algorithm that, for any constraint network, outputs a partially arc consistent subnetwork of it in sublinear ( O( logn)) parallel time using O(n²) processors. This is the first (to our knowledge) sublinear-time parallel algorithm with polynomially many processors that guarantees that in the resulting network every value is compatible with at least one value in at least a constant fraction of the remaining variables. Finally, we generalize the notion of partiality to the k-consistency problem.     

一种基于时间戳的简单表缩减算法

表约束是一种外延的知识表示方法,每个约束在对应的变量集上列举出所有支持或禁止的元组.广义弧相容（generalized arc consistency,简称GAC）是求解约束满足问题应用最广泛的相容性.Simple Tabular Reduction（STR）是一类高效的维持GAC的算法.在回溯搜索中,STR动态地删除无效元组,降低了查找支持的开销,并拥有单位时间的回溯代价,在高元表约束上获得了广泛运用,并有大量基于STR的改进算法被提出,其中,元组集的压缩表示是目前研究较多的方法.同样基于动态维持元组集有效部分的思想,为STR提出一种检测并删除无效元组和为变量更新支持的算法,作用于原始表约束并拥有单位时间的回溯代价.实验结果表明,该算法在表约束上维持GAC的效率普遍高于现有的非基于压缩表示的STR算法,并且在一些实例上的效率高于最新的基于元组集压缩表示的STR算法.     

RCC8的一致分割及其算法

区域连接演算（Region Connection Calculus,RCC）是一种用于空间定性表示和推理的形式化模型,如RCC5,RCC8等,其一致性检查被证明是一个NP问题。幸运的是,在其可处理子集上,路径一致性和一致性等价,即便这样也有[O(n3)]的时间复杂度和[O(n2)]的空间复杂度。为了提高一致性检查的效率,提出了一致分割的概念,给出了其定义和成立的充分必要条件,用来将RCC8的约束图在保持一致性的前提下分割成若干个子图,分而求解各个子图的一致性;并随后给出了几种一致分割的充分条件,和相应的高效分割算法。在随机生成的大型、稀疏约束图上的实验表明了一致分割的有效性。     

Guided Genetic Algorithm and its Application to Radio Link Frequency Assignment Problems

The Guided Genetic Algorithm (GCA) is a hybrid of Genetic Algorithm and Guided Local Search, a meta–heuristic search algorithm. As the search progresses, GGA modifies both the fitness function and fitness template of candidate solutions based on feedback from constraints. The fitness template is then used to bias crossover and mutation. The Radio Link Frequency Assignment Problem (RLFAP) is a class of problem that has practical relevance to both military and civil applications. In this paper, we show how GGA can be applied to the RLFAP. We focus on an abstraction of a real life military application that involves the assigning of frequencies to radio links. GGA was tested on a set of eleven benchmark problems provided by the French military. This set of problems has been studied intensively by a number of prominent groups in Europe. It covers a variety of needs in military applications, including the satisfaction of constraints, finding optimal solutions that satisfy all the constraints and optimization of some objective functions whenever no solution exist (partial constraint satisfaction). Not only do these benchmark problems vary in problem nature, they are reasonably large for military applications (up to 916 variables, and up to 5548 constraints). This makes them a serious challenge to the generality, reliability as well as efficiency of algorithms. We show in this paper that GGA is capable of producing excellent results reliably in the whole set of benchmark problems.