On the family of critical section problems

Mutual exclusion is a fundamental process synchronization problem in concurrent systems. In this paper, we propose a unified framework for mutual exclusion, k-mutual exclusion, mutual inclusion, ?-mutual inclusion and such, what we call critical section problem. Then, we show that critical section problem is characterized by a pair of integers.     

On lower bounds for the complexity of polynomials and their multiples

We prove a theorem giving arbitrarily long explicit sequences of algebraic numbers such that any nonzero polynomial f(X) satisfying has nonscalar complexity for some positive constant C independent of s. A similar result is shown for rapidly growing rational sequences. Received: April 6 1999.     

Nonatomic mutual exclusion with local spinning

We present an N-process local-spin mutual exclusion algorithm, based on nonatomic reads and writes, in which each process performs Θ(log N) remote memory references to enter and exit its critical section. This algorithm is derived from Yang and Anderson's atomic tree-based local-spin algorithm in a way that preserves its time complexity. No atomic read/write algorithm with better asymptotic worst-case time complexity (under the remote-mem-ory-refer-ences measure) is currently known. This suggests that atomic memory is not fundamentally required if one is interested in worst-case time complexity.The same cannot be said if one is interested in fast-path algorithms (in which contention-free time complexity is required to be O(1)) or adaptive algorithms (in which time complexity is required to depend only on the number of contending processes). We show that such algorithms fundamentally require memory accesses to be atomic. In particular, we show that for any N-process nonatomic algorithm, there exists a single-process execution in which the lone competing process accesses Ω(log N/log log N) distinct variables to enter its critical section. Thus, fast and adaptive algorithms are impossible even if caching techniques are used to avoid accessing the processors-to-memory interconnection network.This paper was invited for inclusion in the special issue of this journal based on selected papers presented in PODC '02 (Distributed Computing 18(1)).It appears separately because of a publication delay. Yong-Jik Kimreceived a B.S. degree in Physics/Computer Science from Korea Advanced Institute of Science and Technology in 1998, and a Ph.D.degree in Computer Science from the University of Notrh Carolina at Chapel Hill in 2003. He currently works for the RDBMS group in Tmax Soft, and is otherwise occupied with his newborn daughter Darum, which means “difference” in Korean. James H. Anderson is a professor in the Department of Computer Science at the University of North Carolina at Chapel Hill. He received a B.S.degree in Computer Science from Michigan State University in 1982, an M.S. degree in Computer Science from Purdue University in 1983, and a Ph.D. degree in Computer Sciences from the University of Texas at Austin in 1990. Before joining UNC-Chapel Hill in 1993, he was with the Computer Science Department at the University of Maryland between 1990 and 1993. Dr.Anderson's main research interests are within the areas of real-time systems and concurrent and distributed computing.     

Atomicm-register operations

Summary We investigate systems where it is possible to access several shared registers in one atomic step. We characterize those systems in which the consensus problem can be solved in the presence of faults and give bounds on the space required. We also describe a fast solution to the mutual exclusion problem using atomicm-register operations. Michael Merritt received a B.S. degree in Philosophy and in Computer Science from Yale College in 1978, the M.S. and Ph. D. degrees in Information and Computer Science in 1980 and 1983, respectively, from the Georgia Institute of Technology. Since 1983 he has been a member of technical staff at AT&T Bell Laboratories, and has taught as an adjunct or visiting lecturer at Stevens Institute of Technology and Columbia University. In 1989 he was program chair for the ACM Symposium on Principles of Distributed Computing. His research interests include distributed and concurrent computation, both algorithms and formal methods for verifying their correctness, cryptography, and security. He is an editor for Distributed Computing and for Information and Computation, recently coauthored a book on database concurrency control algorithms, and is a member of the ACM and of Computer Professionals for Social Responsibility. Gadi Taubenfeld received the B.A., M.Sc. and Ph.D. degrees in Computer Science from the Technion (Israel Institute of Technology), in 1982, 1984 and 1988, respectively. From 1988 to 1990 he was a research scientist at Yale University. Since 1991 he has been a member of technical staff at AT&T Bell Laboratories. His primary research interests are in concurrent and distributed computing.A preliminary version of this workappeared in theProceedings of the Fifth International Workshop on Distributed Algorithms, Delphi, Greece, October 1991, pp 289–294     

On the power of small-depth threshold circuits

We investigate the power of threshold circuits of small depth. In particular, we give functions that require exponential size unweighted threshold circuits of depth 3 when we restrict the bottom fanin. We also prove that there are monotone functionsf _k that can be computed in depthk and linear size , -circuits but require exponential size to compute by a depthk–1 monotone weighted threshold circuit.     

On multilevel voting

Summary In a distributed system mutual exclusion is often used to maintain consistency when restricted operations are performed. Mechanisms guaranteeing mutual exclusions should be both resilient and efficient. Resiliency implies high resource availability in the face of failures, while efficiency implies low overhead incurred by performing restricted operations. In this paper, we propose and study a general paradigm, called multilevel voting, which provides a general framework to assist in the design of resilient and efficient mutual exclusion mechanisms. The proposed method uses multiple level quorum consensus. Unlike another method based on the use of multiple quorum consensus, the proposed model only contains one type of integrity constraints. This has the benefit of being conceptually simple and easy to reason about. The strong resemblance with the traditional quorum consensus makes it easy for the proposed paradigm to embed any technique based on traditional quorum schemes. We show that the proposed model represents the exact class of coteries. This means that not only does it have all the power of coteries, but also all schemes under the model are correct. Thus, should the need arise, we can interchange two schemes freely without using any extra mechanisms to ensure correctness. We study a number of issues that have impact on performance such as the degree of a multilevel scheme and the order of a coterie. We explain how the model can be extended also to model the schemes for the synchronization of read and write of replicated data. We provide algorithms for the design of multilevel schemes in the context of mutual exclusion and that of read and write of replicated data. J. Tang received the M.S. degree in computer science from the University of Iowa in 1983 and the Ph.D degree in computer science from the Pennsylvania State University in 1988. Since 1988, he has been an assistant professor with the Department of Computer Science, Memorial University of Newfoundland, St. John's, Newfoundland, Canada. His current research interests include distributed computing, fault tolerance in distributed systems, database modeling and multidatabase systems.This work was supported in part by the Natural Sciences and Engineering Research Council of Canada, individual operating grant OGP0041916     

多副本访问控制的分层结构分布式互斥算法

提出了一种用于分布式系统中多副本对象访问控制的分层结构分布式互斥实现方法,可以显著降低分布式系统中互斥访问算法的消息复杂度,并提高了系统和算法的容错能力和稳定性,为构建超大规模分布式系统,保证分布式系统中的多副本对象的互斥和一致访问提供了实现手段。     

On Prize-collecting Tours and the Asymmetric Travelling Salesman Problem

We consider a variant of the Travelling Salesman Problem which is to determine a tour visiting each vertex in the graph at most at one time; if a vertex is left unrouted a given penalty has to be paid. The objective function is to find a balance between these penalties and the cost of the tour. We call this problem the Profitable Tour Problem(PTP). If, in addition, each vertex is associated with a prize and there is a knapsack constraint which guarantees that a sufficiently large prize is collected, we have the well-known Prize-collecting Travelling Salesman Problem (PCTSP). In this paper we summarize the main results presented in the literature, then we give lower bounds for the asymmetric version of PTP and PCTSP. Moreover, we show, through computational experiments, that large size instances of the asymmetric PTP can be solved exactly.     

Fair mutual exclusion on a graph of processes

We represent a set of communicating processes by a graph. The mutual exclusion problem is solved for an arbitrary connected graph. The solution is shown to be fair.Jan L.A. van de Snepscheut received a PhD from the Eindhoven University of Technology. He was a visiting assistant professor at the California Institute of Technology, and is presently a professor of computing science at Groningen University.     

A space- and time-efficient local-spin spin lock

A simple code transformation is presented that reduces the space complexity of Yang and Anderson's local-spin mutual exclusion algorithm. In both the original and the transformed algorithm, only atomic read and write instructions are used; each process generates Θ(logN) remote memory references per lock request, where N is the number of processes. The transformed algorithm uses Θ(N) distinct variables, which is clearly optimal.     

Automated analysis of mutual exclusion algorithms using CCS

A number of mutual exclusion algorithms are studied by representing them as agents in the Calculus of Communicating Systems and using an automated tool embodying some of the theory of the Calculus to analyse the representations. It is determined whether or not each of the algorithms preserves mutual exclusion and is live.     

Adaptive solutions to the mutual exclusion problem

Summary Algorithms for mutual exclusion that adapt to the current degree of contention are developed. Afilter and a leader election algorithm form the basic building blocks. The algorithms achieve system response times that are independent of the total number of processes and governed instead by the current degree of contention. The final algorithm achieves a constant amortized system response time. Manhoi Choy was born in 1967 in Hong Kong. He received his B.Sc. in Electrical and Electronic Engineerings from the University of Hong Kong in 1989, and his M.Sc. in Computer Science from the University of California at Santa Barbara in 1991. Currently, he is working on his Ph.D. in Computer Science at the University of California at Santa Barbara. His research interests are in the areas of parallel and distributed systems, and distributed algorithms. Ambuj K. Singh is an Assistant Professor in the Department of Computer Science at the University of California, Santa Barbara. He received a Ph.D. in Computer Science from the University of Texas at Austin in 1989, an M.S. in Computer Science from Iowa State University in 1984, and a B.Tech. from the Indian Institute of Technology at Kharagpur in 1982. His research interests are in the areas of adaptive resource allocation, concurrent program development, and distributed shared memory.A preliminary version of the paper appeared in the 12th Annual ACM Symposium on Principles of Distributed ComputingWork supported in part by NSF grants CCR-9008628 and CCR-9223094     

角色互斥在角色访问控制系统中的应用

讨论了角色互斥在角色访问控制系统中的应用。在角色访问控制系统基本模型的基础上,从角色互斥应用的时机和互斥角色之间权限共享两个角度进行了分析,并形式化地描述了静态和动态互斥的原则及角色之间共享权限的约束关系,最后给出了在角色访问控制系统中应用了角色互斥之后所带来的一些性质,并加以证明。     

The Power of Priority Algorithms for Facility Location and Set Cover

We apply and extend the priority algorithm framework introduced by Borodin, Nielsen, and Rackoff to define greedy-like algorithms for the (uncapacitated) facility location problems and set cover problems. These problems have been the focus of extensive research from the point of view of approximation algorithms and for both problems greedy-like algorithms have been proposed and analyzed. The priority algorithm definitions are general enough to capture a broad class of algorithms that can be characterized as greedy-like while still possible to derive non-trivial lower bounds on the approximability of the problems by algorithms in such a class. Our results are orthogonal to complexity considerations, and hence apply to algorithms that are not necessarily polynomial time.     

On delay robustness analysis of a simple control algorithm in high-speed networks

This paper focuses on the robustness analysis of a simple (second-order) control algorithm for data transfer in high-speed networks. The model under consideration (derived using a fluid approximation technique) can be found in Izmailov (SIAM J. Contr. Optimiz. 34 (1996) 1767). The novelty of the approach lies in characterizing the stability of the scheme in the delay-parameter space (where the delays correspond to the control-time interval, and to the round-trip time, respectively). Thus, we shall compute some delay-insensitive measures for the algorithm which give upper and lower bounds for the uncertainty in the knowledge of the round-trip times.     

Exponential lower bounds for the pigeonhole principle

In this paper we prove an exponential lower bound on the size of bounded-depth Frege proofs for the pigeonhole principle (PHP). We also obtain an (loglogn)-depth lower bound for any polynomial-sized Frege proof of the pigeonhole principle. Our theorem nearly completes the search for the exact complexity of the PHP, as S. Buss has constructed polynomial-size, logn-depth Frege proofs for the PHP. The main lemma in our proof can be viewed as a general Håstad-style Switching Lemma for restrictions that are partial matchings. Our lower bounds for the pigeonhole principle improve on previous superpolynomial lower bounds.     

On the Precision in Estimating the Location of Edges and Corners

Recently, in Rohr [13], we analyzed the systematiclocalization errors introduced by local operators for detectinggrey-value corners. These errors are inherently due to thedifferential structure of the operators and, in general, areenlarged by discretization and noise effects. Here, we take thestatistical point of view to analyze the localization errorscaused by noisy data. We consider a continuous image model thatrepresents the blur as well as noise introduced by an imagingsystem. In general, the systematic intensity variations arenonlinear functions of the location parameters. For this modelwe derive analytic results stating lower bounds for the locationuncertainty of image features. The lower bounds are evaluatedfor explicit edge and corner models. We show that the precisionof localization in general depends on the noise level, on thesize of the observation window, on the width of the intensitytransitions, as well as on other parameters describing thesystematic intensity variations. We also point out that theuncertainty lower bounds in localizing these image features canin principle be attained by fitting parametric models directlyto the image intensities. To give an impression of theachievable accuracy numerical examples are presented.