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Decision Diagrams for Solving a Job Scheduling Problem Under Precedence Constraints 优先约束下作业调度问题的决策图
Pub Date : 2018-06-01 DOI: 10.4230/LIPIcs.SEA.2018.5
Kosuke Matsumoto, Kohei Hatano, Eiji Takimoto
We consider a job scheduling problem under precedence constraints, a classical problem for a single processor and multiple jobs to be done. The goal is, given processing time of n fixed jobs and precedence constraints over jobs, to find a permutation of n jobs that minimizes the total flow time, i.e., the sum of total wait time and processing times of all jobs, while satisfying the precedence constraints. The problem is an integer program and is NP-hard in general. We propose a decision diagram π-MDD, for solving the scheduling problem exactly. Our diagram is suitable for solving linear optimization over permutations with precedence constraints. We show the effectiveness of our approach on the experiments on large scale artificial scheduling problems. 2012 ACM Subject Classification Theory of computation→ Data structures design and analysis
考虑了优先级约束下的作业调度问题,这是一个典型的单处理器多作业调度问题。目标是给定n个固定作业的处理时间和作业的优先约束,找到n个作业的排列,使总流时间最小,即所有作业的总等待时间和处理时间之和,同时满足优先约束。这个问题是一个整数程序,一般来说是np困难的。为了准确地解决调度问题,我们提出了决策图π-MDD。我们的图适用于解决具有优先约束的排列上的线性优化问题。在大规模人工调度问题的实验中证明了该方法的有效性。2012 ACM学科分类:计算理论→数据结构设计与分析
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引用次数: 3
Fleet Management for Autonomous Vehicles Using Multicommodity Coupled Flows in Time-Expanded Networks 时间扩展网络中基于多商品耦合流的自动驾驶车辆车队管理
Pub Date : 2018-06-01 DOI: 10.4230/LIPIcs.SEA.2018.25
Sahar Bsaybes, A. Quilliot, Annegret K. Wagler
VIPAFLEET is a framework to develop models and algorithms for managing a fleet of Individual Public Autonomous Vehicles (VIPA). We consider a homogeneous fleet of such vehicles distributed at specified stations in a closed site to supply internal transportation, where the vehicles can be used in different modes of circulation (tram mode, elevator mode, taxi mode). We treat in this paper a variant of the Online Pickup-and-Delivery Problem related to the taxi mode by means of multicommodity coupled flows in a time-expanded network and propose a corresponding integer linear programming formulation. This enables us to compute optimal offline solutions. However, to apply the well-known meta-strategy Replan to the online situation by solving a sequence of offline subproblems, the computation times turned out to be too long, so that we devise a heuristic approach h-Replan based on the flow formulation. Finally, we evaluate the performance of h-Replan in comparison with the optimal offline solution, both in terms of competitive analysis and computational experiments, showing that h-Replan computes reasonable solutions, so that it suits for the online situation.
VIPAFLEET是一个框架,用于开发管理个人公共自动驾驶汽车(VIPA)车队的模型和算法。我们考虑在一个封闭场地的指定站点分配这样一个均匀的车队,以提供内部运输,其中车辆可以使用不同的流通模式(有轨电车模式,电梯模式,出租车模式)。本文利用时间扩展网络中多商品耦合流的方法研究了与出租车模式相关的在线取货问题的一个变体,并提出了相应的整数线性规划公式。这使我们能够计算出最优的离线解决方案。然而,为了将众所周知的元策略Replan通过求解一系列离线子问题应用于在线情况,计算时间太长,因此我们设计了一种基于流公式的启发式方法h-Replan。最后,从竞争分析和计算实验两方面对h-Replan与最优离线解决方案的性能进行了比较,表明h-Replan计算出合理的解决方案,适合在线情况。
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引用次数: 6
Enumerating Graph Partitions Without Too Small Connected Components Using Zero-suppressed Binary and Ternary Decision Diagrams 用零抑制二值和三值决策图枚举没有太小连通分量的图分区
Pub Date : 2018-04-01 DOI: 10.4230/LIPIcs.SEA.2018.21
Yu Nakahata, J. Kawahara, S. Kasahara
Partitioning a graph into balanced components is important for several applications. For multi-objective problems, it is useful not only to find one solution but also to enumerate all the solutions with good values of objectives. However, there are a vast number of graph partitions in a graph, and thus it is difficult to enumerate desired graph partitions efficiently. In this paper, an algorithm to enumerate all the graph partitions such that all the weights of the connected components are at least a specified value is proposed. To deal with a large search space, we use zero-suppressed binary decision diagrams (ZDDs) to represent sets of graph partitions and we design a new algorithm based on frontier-based search, which is a framework to directly construct a ZDD. Our algorithm utilizes not only ZDDs but also ternary decision diagrams (TDDs) and realizes an operation which seems difficult to be designed only by ZDDs. Experimental results show that the proposed algorithm runs up to tens of times faster than an existing state-of-the-art algorithm.
将图划分为平衡的组件对于许多应用程序都很重要。对于多目标问题,不仅要找到一个解,而且要列举出所有具有良好目标值的解。然而,由于图中存在大量的图分区,因此很难有效地枚举所需的图分区。本文提出了一种枚举所有图分区的算法,使得所有连通分量的权重至少为一个指定值。为了处理较大的搜索空间,我们使用零抑制二进制决策图(zero- suppression binary decision diagram, ZDD)来表示图分区集,并设计了一种基于边界搜索的新算法,该算法是直接构造ZDD的框架。该算法不仅利用了三元决策图(tdd),而且还利用了三元决策图(tdd),实现了仅用三元决策图难以设计的操作。实验结果表明,该算法的运行速度比现有最先进的算法快几十倍。
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引用次数: 1
Restructuring expression dags for efficient parallelization 重组表达式标签以实现高效并行化
Pub Date : 2018-04-01 DOI: 10.4230/LIPIcs.SEA.2018.20
M. Wilhelm
In the field of robust geometric computation it is often necessary to make exact decisions based on inexact floating-point arithmetic. One common approach is to store the computation history in an arithmetic expression dag and to re-evaluate the expression with increasing precision until an exact decision can be made. We show that exact-decisions number types based on expression dags can be evaluated faster in practice through parallelization on multiple cores. We compare the impact of several restructuring methods for the expression dag on its running time in a parallel environment.
在鲁棒几何计算领域,经常需要基于不精确浮点运算进行精确决策。一种常见的方法是将计算历史存储在算术表达式中,并以越来越高的精度重新计算表达式,直到可以做出确切的决定。我们表明,通过在多核上并行化,基于表达式标记的精确决策数字类型可以在实践中更快地评估。我们比较了几种重组表达式的方法对其在并行环境中运行时间的影响。
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引用次数: 1
Experimental Evaluation of Parameterized Algorithms for Feedback Vertex Set 反馈顶点集参数化算法的实验评价
Pub Date : 2018-03-02 DOI: 10.4230/LIPIcs.SEA.2018.12
K. Kiljan, Marcin Pilipczuk
Feedback Vertex Set is a classic combinatorial optimization problem that asks for a minimum set of vertices in a given graph whose deletion makes the graph acyclic. From the point of view of parameterized algorithms and fixed-parameter tractability, Feedback Vertex Set is one of the landmark problems: a long line of study resulted in multiple algorithmic approaches and deep understanding of the combinatorics of the problem. Because of its central role in parameterized complexity, the first edition of the Parameterized Algorithms and Computational Experiments Challenge (PACE) in 2016 featured Feedback Vertex Set as the problem of choice in one of its tracks. The results of PACE 2016 on one hand showed large discrepancy between performance of different classic approaches to the problem, and on the other hand indicated a new approach based on half-integral relaxations of the problem as probably the most efficient approach to the problem. In this paper we provide an exhaustive experimental evaluation of fixed-parameter and branching algorithms for Feedback Vertex Set.
反馈顶点集是一个经典的组合优化问题,它要求在给定的图中找到最小顶点集,这些顶点集的删除使图无环。从参数化算法和固定参数可跟踪性的角度来看,反馈顶点集是具有里程碑意义的问题之一:长期的研究导致了多种算法方法和对问题组合学的深刻理解。由于其在参数化复杂性中的核心作用,2016年参数化算法和计算实验挑战(PACE)的第一版将反馈顶点集作为其其中一个轨道的选择问题。PACE 2016的结果一方面显示了不同经典方法之间的性能差异很大,另一方面表明基于问题半积分松弛的新方法可能是解决问题的最有效方法。本文对反馈顶点集的固定参数和分支算法进行了详尽的实验评估。
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引用次数: 12
Aggregative Coarsening for Multilevel Hypergraph Partitioning 多级超图划分的聚合粗化
Pub Date : 2018-02-01 DOI: 10.4230/LIPIcs.SEA.2018.2
Ruslan Shaydulin, Ilya Safro
Algorithms for many hypergraph problems, including partitioning, utilize multilevel frameworks to achieve a good trade-off between the performance and the quality of results. In this paper we introduce two novel aggregative coarsening schemes and incorporate them within state-of-the-art hypergraph partitioner Zoltan. Our coarsening schemes are inspired by the algebraic multigrid and stable matching approaches. We demonstrate the effectiveness of the developed schemes as a part of multilevel hypergraph partitioning framework on a wide range of problems. Reproducibility: [link to code, data and results will be available upon acceptance of the paper]
包括分区在内的许多超图问题的算法都使用多层框架来实现性能和结果质量之间的良好权衡。本文介绍了两种新的聚合粗化方案,并将它们集成到最先进的超图分区器Zoltan中。我们的粗化方案受到代数多重网格和稳定匹配方法的启发。我们证明了所开发的方案作为多层超图划分框架的一部分在广泛的问题上的有效性。可重复性:[链接至代码、数据和结果将在论文被接受后提供]
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引用次数: 11
Memetic Graph Clustering 模因图聚类
Pub Date : 2018-02-01 DOI: 10.4230/LIPIcs.SEA.2018.3
Sonja Biedermann, M. Henzinger, Christian Schulz, Bernhard Schuster
It is common knowledge that there is no single best strategy for graph clustering, which justifies a plethora of existing approaches. In this paper, we present a general memetic algorithm, VieClus, to tackle the graph clustering problem. This algorithm can be adapted to optimize different objective functions. A key component of our contribution are natural recombine operators that employ ensemble clusterings as well as multi-level techniques. Lastly, we combine these techniques with a scalable communication protocol, producing a system that is able to compute high-quality solutions in a short amount of time. We instantiate our scheme with local search for modularity and show that our algorithm successfully improves or reproduces all entries of the 10th DIMACS implementation~challenge under consideration using a small amount of time.
众所周知,图聚类没有单一的最佳策略,这证明了现有方法的过剩。本文提出了一种通用模因算法VieClus来解决图聚类问题。该算法可适应不同目标函数的优化。我们贡献的一个关键组成部分是使用集成聚类和多层次技术的自然重组算子。最后,我们将这些技术与可扩展的通信协议结合起来,产生一个能够在短时间内计算高质量解决方案的系统。我们用局部搜索模块化实例化了我们的方案,并表明我们的算法在很短的时间内成功地改进或再现了第10个DIMACS实现挑战的所有条目。
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引用次数: 9
An Efficient Local Search for the Minimum Independent Dominating Set Problem 最小独立支配集问题的有效局部搜索
Pub Date : 2018-02-01 DOI: 10.4230/LIPIcs.SEA.2018.13
Kazuya Haraguchi
In the present paper, we propose an efficient local search for the minimum independent dominating set problem. We consider a local search that uses k-swap as the neighborhood operation. Given a feasible solution S, it is the operation of obtaining another feasible solution by dropping exactly k vertices from S and then by adding any number of vertices to it. We show that, when k=2, (resp., k=3 and a given solution is minimal with respect to 2-swap), we can find an improved solution in the neighborhood or conclude that no such solution exists in O(nDelta) (resp., O(nDelta^3)) time, where n denotes the number of vertices and Delta denotes the maximum degree. We develop a metaheuristic algorithm that repeats the proposed local search and the plateau search iteratively. The algorithm is so effective that it updates the best-known upper bound for nine DIMACS graphs.
本文给出了求解最小独立支配集问题的一种有效的局部搜索方法。我们考虑使用k-swap作为邻域操作的局部搜索。给定一个可行解S,它是通过从S中去掉恰好k个顶点,然后添加任意数量的顶点来获得另一个可行解的操作。我们证明,当k=2时,(p。, k=3且给定解相对于2-swap是最小的),我们可以在邻域内找到一个改进解或得出在O(nDelta) (resp)中不存在这样的解的结论。, O(nDelta^3))时间,其中n表示顶点数,Delta表示最大度。我们开发了一种元启发式算法,迭代地重复提出的局部搜索和平台搜索。该算法非常有效,它更新了九个DIMACS图的最著名的上界。
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引用次数: 0
An Ambiguous Coding Scheme for Selective Encryption of High Entropy Volumes 高熵体积选择性加密的一种模糊编码方案
Pub Date : 2018-01-01 DOI: 10.4230/LIPIcs.SEA.2018.7
M. O. Külekci
This study concentrates on the security of high-entropy volumes, where entropy–encoded multimedia files or compressed text sequences are the most typical sources. We consider a system in which the cost of encryption is hefty in terms of some metric (e.g., time, memory, energy, or bandwidth), and thus, creates a bottleneck. With the aim of reducing the encryption cost on such a system, we propose a data coding scheme to achieve the data security by encrypting significantly less data than the original size without sacrifice in secrecy. The main idea of the proposed technique is to represent the input sequence by not uniquely–decodable codewords. The proposed coding scheme splits a given input into two partitions as the payload, which consists of the ambiguous codeword sequence, and the disambiguation information, which is the necessary knowledge to properly decode the payload. Under the assumed condition that the input data is the output of an entropy-encoder, and thus, on ideal case independently and identically distributed, the payload occupies ≈ (d−2) d , and the disambiguation information takes ≈ 2 d of the encoded stream, where d > 2 denotes a chosen parameter typically between 6 to 20. We propose to encrypt the payload and keep the disambiguation information in plain to reduce the amount of data to be encrypted, where recursive representation of the payload with the proposed coding can decrease the to-be-encrypted volume further. When 2 · 2 ≤ n ≤ τ · d · 2, for τ = d−1.44 2 , we show that the contraction of the possible message space 2 due to the public disambiguation information is accommodated by keeping the codeword set secret. We discuss possible applications of the proposed scheme in practice. 2012 ACM Subject Classification Information systems → Data encryption, Information systems → Multimedia databases, Mathematics of computing → Combinatorics, Mathematics of computing → Coding theory, Security and privacy → Management and querying of encrypted data
本研究集中于高熵卷的安全性,其中熵编码的多媒体文件或压缩文本序列是最典型的来源。我们考虑一个系统,其中加密的成本在某些指标(例如,时间,内存,能量或带宽)方面很高,因此产生瓶颈。为了降低系统的加密成本,我们提出了一种数据编码方案,在不牺牲保密性的情况下,对比原始大小更少的数据进行加密,从而达到数据安全的目的。该技术的主要思想是用非唯一可解码码字来表示输入序列。提出的编码方案将给定的输入分成两部分作为有效载荷,有效载荷由歧义码字序列和消歧信息组成,消歧信息是正确解码有效载荷所必需的知识。假设输入数据是熵编码器的输出,因此,在独立且同分布的理想情况下,有效载荷占用编码流≈(d−2)d,消歧信息占用编码流≈2 d,其中d > 2表示通常在6到20之间选择的参数。我们建议对有效载荷进行加密,并保持消歧信息的平直,以减少需要加密的数据量,其中使用所建议的编码递归表示有效载荷可以进一步减少需要加密的量。当2·2≤n≤τ·d·2时,当τ = d−1.44 2时,我们证明了由于公开消歧信息引起的可能消息空间2的收缩可以通过保持码字集的机密性来适应。我们讨论了所提出的方案在实践中的可能应用。2012 ACM学科分类信息系统→数据加密、信息系统→多媒体数据库、计算数学→组合数学、计算数学→编码理论、安全与隐私→加密数据的管理与查询
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引用次数: 2
Desalination of salt solutions by means of circulating diffusion dialysis system using salinity gradient energy 利用盐度梯度能的循环扩散透析系统对盐溶液进行脱盐
Pub Date : 2018-01-01 DOI: 10.11457/SWSJ.72.6_334
Yuki Noguchi, M. Yasukawa, Mitsuru Higa
In this paper, a novel desalination system called circulating diffusion dialysis (CDD) was set up by connecting two stacks using salt bridges, with the stacks consisting of cation-, and anion-exchange membranes and three types of water flow channels of two salt solutions (HS: high salt concentration, LS: low salt concentration) and desalting water (DW) solution. By feeding 30,000 mg/dm3 NaCl as HS and various initial concentrations of NaCl as LS and DW to the CDD system, the salt concentration of DW decreased to less than 500 mg/dm3. In conclusion, we confirmed that the CDD system can desalinate saline water without applying any heat and electrical power from outside; but just by feeding salt solutions with different concentrations into the system.
本文采用盐桥连接两层海水淡化系统,建立了循环扩散透析(CDD)海水淡化系统。两层海水淡化系统由阳离子交换膜和阴离子交换膜组成,两种盐溶液(HS:高盐浓度,LS:低盐浓度)和脱盐水(DW)溶液的三种水流通道组成。在CDD体系中加入3万mg/dm3的NaCl作为HS,不同初始浓度的NaCl作为LS和DW, DW的盐浓度降至500 mg/dm3以下。综上所述,我们确认CDD系统可以在不使用任何外部热量和电力的情况下淡化咸水;只要把不同浓度的盐溶液加入系统。
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引用次数: 0
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Bulletin of the Society of Sea Water Science, Japan
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