社交网络中正影响支配集问题的轮转贪心算法

社交网络中最小正影响支配集问题是一个NP难度的组合优化问题,针对该问题,目前有2种典型的贪心求解算法求解速度较快,但贪心解的质量却有待提高。轮转贪心策略是在不增加贪心算法时间复杂度的前提下提升贪心解的质量,且通过实验研究表明能有效增强一些NP难度问题效果的贪心算法。本文将轮转贪心策略求解正影响支配集的2个贪心算法进行融合来提升贪心算法解的质量,提出相应的轮转贪心算法。实验表明,在典型的真实社交网络实例上,与原有贪心算法相比,本文的轮转贪心算法所获解的质量有一定的提高。     

求解多车型校车路径问题的带参数选择机制的GRASP算法

考虑到校车路径安排过程中不同车型容量和成本的差异,建立了多车型校车路径问题(SBRP)模型,并提出了一种带参数选择机制的贪婪随机自适应(GRASP)算法进行求解。在初始解构造阶段,设计一组阈值参数控制受限候选列表(RCL)的大小,使用轮盘赌法选择阈值参数。完成初始解构造后,使用可变邻域搜索(VNS)进行邻域解改进,并记录所选择的参数和解的目标值。算法迭代过程中,先设置相同阈值参数的选择概率,每隔若干次迭代后,评估每个阈值参数的性能并修改其选择概率,使得算法能够得到更好的平均解。使用基准测试案例进行了测试,比较了基本GRASP算法与设计的GRASP算法的性能,并与现有求解多车型校车路径问题的算法进行对比,实验结果表明所设计的算法是有效的。     

The largest tree in a random graph

In this paper we study the problem of finding the largest tree in a random graph. First of all, we estimate the size of the largest tree almost surely. Then we propose two approximate greedy algorithms. Both algorithms achieve a solution whose value is one half of the value of the optimal solution, with high probability.     

A divide and conquer matheuristic algorithm for the Prize-collecting Steiner Tree Problem

The Prize-collecting Steiner Tree Problem (PCSTP) is a well-known problem in graph theory and combinatorial optimization. It has been successfully applied to solve real problems such as fiber-optic and gas distribution networks design. In this work, we concentrate on its application in biology to perform a functional analysis of genes. It is common to analyze large networks in genomics to infer a hidden knowledge. Due to the NP-hard characteristics of the PCSTP, it is computationally costly, if possible, to achieve exact solutions for such huge instances. Therefore, there is a need for fast and efficient matheuristic algorithms to explore and understand the concealed information in huge biological graphs. In this study, we propose a matheuristic method based on clustering algorithm. The main target of the method is to scale up the applicability of the currently available exact methods to large graph instances, without loosing too much on solution quality. The proposed matheuristic method is composed of a preprocessing procedures, a heuristic clustering algorithm and an exact solver for the PCSTP, applied on sub-graphs. We examine the performance of the proposed method on real-world benchmark instances from biology, and compare its results with those of the exact solver alone, without the heuristic clustering. We obtain solutions in shorter execution time and with negligible optimality gaps. This enables analyzing very large biological networks with the currently available exact solvers.     

A hybrid algorithmic model for the minimum weight dominating set problem

Iterated greedy algorithms belong to the class of stochastic local search methods. They are based on the simple and effective principle of generating a sequence of solutions by iterating over a constructive greedy heuristic using destruction and construction phases. This paper, first, presents an efficient randomized iterated greedy approach for the minimum weight dominating set problem, where—given a vertex-weighted graph—the goal is to identify a subset of the graphs’ vertices with minimum total weight such that each vertex of the graph is either in the subset or has a neighbor in the subset. Our proposed approach works on a population of solutions rather than on a single one. Moreover, it is based on a fast randomized construction procedure making use of two different greedy heuristics. Secondly, we present a hybrid algorithmic model in which the proposed iterated greedy algorithm is combined with the mathematical programming solver CPLEX. In particular, we improve the best solution provided by the iterated greedy algorithm with the solution polishing feature of CPLEX. The simulation results obtained on a widely used set of benchmark instances shows that our proposed algorithms outperform current state-of-the-art approaches.     

QoS-aware,access-efficient,and storage-efficient replica placement in grid environments

In this paper, we study the quality-of-service (QoS)-aware replica placement problem in grid environments. Although there has been much work on the replica placement problem in parallel and distributed systems, most of them concern average system performance and have not addressed the important issue of quality of service requirement. In the very few existing work that takes QoS into consideration, a simplified replication model is assumed; therefore, their solution may not be applicable to real systems. In this paper, we propose a more realistic model for replica placement, which consider storage cost, update cost, and access cost of data replication, and also assumes that the capacity of each replica server is bounded. The QoS-aware replica placement is NP-complete even in the simple model. We propose two heuristic algorithms, called greedy remove and greedy add to approximate the optimal solution. Our extensive experiment results demonstrate that both greedy remove and greedy add find a near-optimal solution effectively and efficiently. Our algorithms can also adapt to various parallel and distributed environments.     

Design and Performance Evaluation of Sequence Partition Algorithms

Tradeoffs between time complexities and solution optimalities are important when selecting algorithms for an NP-hard problem in different applications. Also, the distinction between theoretical upper bound and actual solution optimality for realistic instances of an NP-hard problem is a factor in selecting algorithms in practice. We consider the problem of partitioning a sequence of n distinct numbers into minimum number of monotone （increasing or decreasing） subsequences. This problem is NP-hard and the number of monotone subsequences can reach [√2n＋1/1-1/2]in the worst case. We introduce a new algorithm, the modified version of the Yehuda-Fogel algorithm, that computes a solution of no more than [√2n＋1/1-1/2]monotone subsequences in O（n^1.5） time. Then we perform a comparative experimental study on three algorithms, a known approximation algorithm of approximation ratio 1.71 and time complexity O（n^3）, a known greedy algorithm of time complexity O（n^1.5 log n）, and our new modified Yehuda-Fogel algorithm. Our results show that the solutions computed by the greedy algorithm and the modified Yehuda-Fogel algorithm are close to that computed by the approximation algorithm even though the theoretical worst-case error bounds of these two algorithms are not proved to be within a constant time of the optimal solution. Our study indicates that for practical use the greedy algorithm and the modified Yehuda-Fogel algorithm can be good choices if the running time is a major concern.     

求解0-1背包问题的融合贪心策略的回溯算法

0-1背包问题作为经典的NP完全问题一直得到广泛的关注和研究.研究发现,经典回溯算法在解决0-1背包问题时的算法时间复杂度较高,尤其是在物品数量较多时,短时间内不能得到问题的解,导致算法的适用性较差.虽然经典贪心算法和现阶段涌现出的大量新型算法能够极大地缩减算法的运行时间,但普遍是以牺牲算法的准确性为代价的,不能保证可...     

A discrete artificial bee colony algorithm for the total flowtime minimization in permutation flow shops

Obtaining an optimal solution for a permutation flowshop scheduling problem with the total flowtime criterion in a reasonable computational timeframe using traditional approaches and optimization tools has been a challenge. This paper presents a discrete artificial bee colony algorithm hybridized with a variant of iterated greedy algorithms to find the permutation that gives the smallest total flowtime. Iterated greedy algorithms are comprised of local search procedures based on insertion and swap neighborhood structures. In the same context, we also consider a discrete differential evolution algorithm from our previous work. The performance of the proposed algorithms is tested on the well-known benchmark suite of Taillard. The highly effective performance of the discrete artificial bee colony and hybrid differential evolution algorithms is compared against the best performing algorithms from the existing literature in terms of both solution quality and CPU times. Ultimately, 44 out of the 90 best known solutions provided very recently by the best performing estimation of distribution and genetic local search algorithms are further improved by the proposed algorithms with short-term searches. The solutions known to be the best to date are reported for the benchmark suite of Taillard with long-term searches, as well.     

Matheuristic algorithms for minimizing total tardiness in the <Emphasis Type="Italic">m</Emphasis>-machine flow-shop scheduling problem

We consider in this paper the m-machine permutation flow-shop problem with total tardiness minimization. We propose several matheuristic algorithms, which are an hybridization of a local search and an exact resolution method. The matheuristics are compared to a genetic algorithm. Computational experiments are performed on benchmark instances and the results show the good performances of the matheuristic algorithms. Finally, some future research directions are given.     

Combinatorial optimization algorithms combining greedy strategies with a limited search procedure

The proposed algorithms basically follow a greedy strategy, and a limited search procedure is invoked only at the steps at which the greedy choice cannot lead to the optimal solution. The principle of these algorithms design are illustrated using the problem of finding the maximum number of compatible jobs as an example. The results of applying the proposed algorithms for scheduling computations in distributed systems are described.     

Optimizing ad hoc trade in a commercial barter trade exchange

In this paper, we describe the operation of barter trade exchanges by identifying key techniques used by trade brokers to stimulate trade and satisfy member needs, and present algorithms to automate some of these techniques. In particular, we develop algorithms that emulate the practice of trade brokers by matching buyers and sellers in such a way that trade volume is maximized while the balance of trade is maintained as much as possible.We model the trade balance problem as a minimum cost circulation problem (MCC) on a network. When the products have uniform cost or when the products can be traded in fractional units, we solve the problem exactly. Otherwise, we present a novel stochastic rounding algorithm that takes the fractional optimal solution to the trade balance problem and produces a valid integer solution. We then make use of a greedy heuristic that attempts to match buyers and sellers so that the average number of suppliers that a buyer must use to satisfy a given product need is minimized. We present results of empirical evaluation of our algorithms on test problems and on simulations built using data from an operating trade exchange.     

Competitive Liner Shipping Network Design

We present a solution method for the liner shipping network design problem which is a core strategic planning problem faced by container carriers. We propose the first practical algorithm which explicitly handles transshipment time limits for all demands. Individual sailing speeds at each service leg are used to balance sailing speed against operational costs, hence ensuring that the found network is competitive on both transit time and cost. We present a matheuristic for the problem where a MIP is used to select which ports should be inserted or removed on a route. Computational results are presented showing very promising results for realistic global liner shipping networks. Due to a number of algorithmic enhancements, the obtained solutions can be found within the same time frame as used by previous algorithms not handling time constraints. Furthermore, we present a sensitivity analysis on fluctuations in bunker price which confirms the applicability of the algorithm.     

A Genetic Selection Algorithm for OLAP Data Cubes

Multidimensional data analysis, as supported by OLAP (online analytical processing) systems, requires the computation of many aggregate functions over a large volume of historically collected data. To decrease the query time and to provide various viewpoints for the analysts, these data are usually organized as a multidimensional data model, called data cubes. Each cell in a data cube corresponds to a unique set of values for the different dimensions and contains the metric of interest. The data cube selection problem is, given the set of user queries and a storage space constraint, to select a set of materialized cubes from the data cubes to minimize the query cost and/or the maintenance cost. This problem is known to be an NP-hard problem. In this study, we examined the application of genetic algorithms to the cube selection problem. We proposed a greedy-repaired genetic algorithm, called the genetic greedy method. According to our experiments, the solution obtained by our genetic greedy method is superior to that found using the traditional greedy method. That is, within the same storage constraint, the solution can greatly reduce the amount of query cost as well as the cube maintenance cost.     

Data‐aware task scheduling on heterogeneous hybrid memory multiprocessor systems

In this paper, we propose a method about task scheduling and data assignment on heterogeneous hybrid memory multiprocessor systems for real‐time applications. In a heterogeneous hybrid memory multiprocessor system, an important problem is how to schedule real‐time application tasks to processors and assign data to hybrid memories. The hybrid memory consists of dynamic random access memory and solid state drives when considering the performance of solid state drives into the scheduling policy. To solve this problem, we propose two heuristic algorithms called improvement greedy algorithm and the data assignment according to the task scheduling algorithm, which generate a near‐optimal solution for real‐time applications in polynomial time. We evaluate the performance of our algorithms by comparing them with a greedy algorithm, which is commonly used to solve heterogeneous task scheduling problem. Based on our extensive simulation study, we observe that our algorithms exhibit excellent performance and demonstrate that considering data allocation in task scheduling is significant for saving energy. We conduct experiments on two heterogeneous multiprocessor systems. Copyright © 2016 John Wiley & Sons, Ltd.     

基于公交网络的车载群智感知方法及其优化

公交车具有固定的行驶路线和发车周期、统一的车载设备标准、低隐私泄露风险等特性。根据公交车的特性,设计了一个基于公交网络的车载群智感知系统,系统中的数据中心通过公交网络中的公交车来采集城市数据,以满足数据用户的需求;随后研究系统中的任务分配问题和数据交易问题。基于贪婪算法设计优化任务分配策略以最小化系统的数据采集能耗成本,和根据博弈论设计最优数据交易策略以最大化系统的经济效益。最后通过仿真,验证了提出的策略的有效性和优越性。     

基于拉马克进化的差分进化算法求解KPC问题

具有单连续变量的背包问题(knapsack problem with a single continuous variable,KPC)是标准0-1背包问题的自然推广,在KPC中背包容量不是固定的,因此其求解难度变大.针对现有差分进化(differential evolution,DE)算法在高维KPC实例上求解精度不...     

移动传感器网络中路径扫描覆盖问题研究

扫描覆盖作为无线传感器网络中的重要应用之一,通过规划移动传感器对区域内兴趣点（POI）进行定期覆盖,因此相较于传统覆盖方法能以更低廉的成本监测POI。研究最少传感器数量-最小罚时路径扫描覆盖问题,即通过调度移动传感器扫描给定路径上的POI集合,使传感器使用数量及产生的POI总罚时成本之和最小。将该问题转换为整数规划,并基于该问题的特殊结构设计贪心算法和遗传算法,以求解大规模实例。在遗传算法基础上引入模拟退火操作,以设计一种遗传模拟退火算法,从而提高求解质量和算法局部寻优能力。实验结果表明,所提贪心算法、遗传算法及遗传模拟退火算法均有较好的收敛性,贪心算法求解质量相对较差,但求解速度快;遗传算法解的质量更好,但存在不稳定的问题,局部寻优能力较弱;遗传模拟退火算法的局部寻优能力和求解稳定性明显增强,解的质量优于其他两种算法。     

Iterated greedy algorithms for the blocking flowshop scheduling problem with makespan criterion

Recently, iterated greedy algorithms have been successfully applied to solve a variety of combinatorial optimization problems. This paper presents iterated greedy algorithms for solving the blocking flowshop scheduling problem (BFSP) with the makespan criterion. Main contributions of this paper can be summed up as follows. We propose a constructive heuristic to generate an initial solution. The constructive heuristic generates better results than those currently in the literature. We employ and adopt well-known speed-up methods from the literature for both insertion and swap neighborhood structures. In addition, an iteration jumping probability is proposed to change the neighborhood structure from insertion neighborhood to swap neighborhood. Generally speaking, the insertion neighborhood is much more effective than the swap neighborhood for the permutation flowshop scheduling problems. Instead of considering the use of these neighborhood structures in a framework of the variable neighborhood search algorithm, two powerful local search algorithms are designed in such a way that the search process is guided by an iteration jumping probability determining which neighborhood structure will be employed. By doing so, it is shown that some additional enhancements can be achieved by employing the swap neighborhood structure with a speed-up method without jeopardizing the effectiveness of the insertion neighborhood. We also show that the performance of the iterated greedy algorithm significantly depends on the speed-up method employed. The parameters of the proposed iterated greedy algorithms are tuned through a design of experiments on randomly generated benchmark instances. Extensive computational results on Taillard’s well-known benchmark suite show that the iterated greedy algorithms with speed-up methods are equivalent or superior to the best performing algorithms from the literature. Ultimately, 85 out of 120 problem instances are further improved with substantial margins.     

Passenger flow prediction in bus transportation system using deep learning

The forecasting of bus passenger flow is important to the bus transit system’s operation. Because of the complicated structure of the bus operation system, it’s difficult to explain how passengers travel along different routes. Due to the huge number of passengers at the bus stop, bus delays, and irregularity, people are experiencing difficulties of using buses nowadays. It is important to determine the passenger flow in each station, and the transportation department may utilize this information to schedule buses for each region. In Our proposed system we are using an approach called the deep learning method with long short-term memory, recurrent neural network, and greedy layer-wise algorithm are used to predict the Karnataka State Road Transport Corporation (KSRTC) passenger flow. In the dataset, some of the parameters are considered for prediction are bus id, bus type, source, destination, passenger count, slot number, and revenue These parameters are processed in a greedy layer-wise algorithm to make it has cluster data into regions after cluster data move to the long short-term memory model to remove redundant data in the obtained data and recurrent neural network it gives the prediction result based on the iteration factors of the data. These algorithms are more accurate in predicting bus passengers. This technique handles the problem of passenger flow forecasting in Karnataka State Road Transport Corporation Bus Rapid Transit (KSRTCBRT) transportation, and the framework provides resource planning and revenue estimation predictions for the KSRTCBRT.