Randomized mutual exclusion with sub-logarithmic RMR-complexity

Mutual exclusion is a fundamental distributed coordination problem. Shared-memory mutual exclusion research focuses on local-spin algorithms and uses the remote memory references (RMRs) metric. Attiya, Hendler, and Woelfel (40th STOC, 2008) established an Ω(log N) lower bound on the number of RMRs incurred by processes as they enter and exit the critical section, where N is the number of processes in the system. This matches the upper bound of Yang and Anderson (Distrib. Comput. 9(1):51–60, 1995). The upper and lower bounds apply for algorithms that only use read and write operations. The lower bound of Attiya et al., however, only holds for deterministic algorithms. The question of whether randomized mutual exclusion algorithms, using reads and writes only, can achieve sub-logarithmic expected RMR complexity remained open. We answer this question in the affirmative by presenting starvation-free randomized mutual exclusion algorithms for the cache coherent (CC) and the distributed shared memory (DSM) model that have sub-logarithmic expected RMR complexity against the strong adversary. More specifically, each process incurs an expected number of O(log N / log log N) RMRs per passage through the entry and exit sections, while in the worst case the number of RMRs is O(log N).     

A hybrid access method in a multiple access channel

This paper considers a multiple-access communication channel with an infinite number of users. We show that if a controlled slotted Aloha protocol is used, then messages with variable length will have a negative impact on the average message delay. In order to alleviate this problem, a mixed mode (Hybrid) access method is suggested under which the channel bandwidth is split into two sub-channels, managed under different policies. Messages whose length is less than or equal to a critical value are transmitted in one sub-channel under a slotted Aloha policy. The rest of the messages are sent through a separate portion of the channel bandwidth, using a reservation protocol. We show that under this hybrid access method the average delay of a message is greatly improved.     

LOTOS渐进细化设计方法在互斥访问系统中的应用

在复杂系统的设计流程中,每个设计阶段都要制定标准的设并方案以实现系统功能。渐进细化设计就是把设计流程中的设计方案和检验其能否实现一个特定功能分离开来。提出了渐进细化的概念,并将其应用于互斥访问系统中,同时用LOTOS规范进行描述。     

Random multiple access in a vector disjunctive channel

We consider a random multiple access (RMA) procedure in a vector disjunctive channel. We show that exploiting properties of the channel allows one to reduce collision resolution time and thus increase the maximal stable throughput (MST) of RMA algorithms in this channel. We propose an algorithm, belonging to the class of splitting algorithms, which achieves the MST of 0.603.     

Superstabilizing mutual exclusion

Summary. A superstabilizing protocol is a protocol that i is self-stabilizing, meaning that it can recover from an arbitrarily severe transient fault; and ii can recover from a local transient fault while satisfying a passage predicate during recovery. This paper investigates the possibility of superstabilizing protocols for mutual exclusion in a ring of processors, where a local fault consists of any transient fault at a single processor; the passage predicate specifies that there be at most one token in the ring, with the single exception of a spurious token colocated with the transient fault. The first result of the paper is an impossibility theorem for a class of superstabilizing mutual exclusion protocols. Two unidirectional protocols are then presented to show that conditions for impossibility can independently be relaxed so that superstabilization is possible using either additional time or communication registers. A bidirectional protocol subsequently demonstrates that superstabilization in O(1) time is possible. All three superstabilizing protocols are optimal with respect to the number of communication registers used. Received: August 1996 / Accepted: March 1999     

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 priority-based distributed group mutual exclusion algorithm when group access is non-uniform

In the group mutual exclusion problem, each critical section has a type or a group associated with it. Processes requesting critical sections belonging to the same group (that is, of the same type) may execute their critical sections concurrently. However, processes requesting critical sections belonging to different groups (that is, of different types) must execute their critical sections in a mutually exclusive manner.     

Closing the complexity gap between FCFS mutual exclusion and mutual exclusion

First-Come-First-Served (FCFS) mutual exclusion (ME) is the problem of ensuring that processes attempting to concurrently access a shared resource do so one by one, in a fair order. In this paper, we close the complexity gap between FCFS ME and ME in the asynchronous shared memory model where processes communicate using atomic reads and writes only, and do not fail. Our main result is the first known FCFS ME algorithm that makes O(log N) remote memory references (RMRs) per passage and uses only atomic reads and writes. Our algorithm is also adaptive to point contention. More precisely, the number of RMRs a process makes per passage in our algorithm is Θ(min(k, log N)), where k is the point contention. Our algorithm matches known RMR complexity lower bounds for the class of ME algorithms that use reads and writes only, and beats the RMR complexity of prior algorithms in this class that have the FCFS property.     

Asynchronous group mutual exclusion

Abstract. Mutual exclusion and concurrency are two fundamental and essentially opposite features in distributed systems. However, in some applications such as Computer Supported Cooperative Work (CSCW) we have found it necessary to impose mutual exclusion on different groups of processes in accessing a resource, while allowing processes of the same group to share the resource. To our knowledge, no such design issue has been previously raised in the literature. In this paper we address this issue by presenting a new problem, called Congenial Talking Philosophers, to model group mutual exclusion. We also propose several criteria to evaluate solutions of the problem and to measure their performance. Finally, we provide an efficient and highly concurrent distributed algorithm for the problem in a shared-memory model where processes communicate by reading from and writing to shared variables. The distributed algorithm meets the proposed criteria, and has performance similar to some naive but centralized solutions to the problem. Received: November 1998 / Accepted: April 2000     

Achieving mutual exclusion in a distributed computing environment

A distributed control algorithm, called MEAL, is presented for achieving mutual exclusion in a distributed computing environment. It requires only (N + 2) messages per critical section entry, in the no failures case; N being the number of nodes in the distributed system. Few assertions are proved to verify the correct functioning of MEAL. Possible modification to make it resilient, in case of node failures, are also suggested.     

Starvation-free mutual exclusion with semaphores

The standard implementation of mutual exclusion by means of a semaphore allows starvation of processes. Between 1979 and 1986, three algorithms were proposed that preclude starvation. These algorithms use a special kind of semaphore. We model this so-called buffered semaphore rigorously and provide mechanized proofs of the algorithms. We prove that the algorithms are three implementations of one abstract algorithm in which every competing process is overtaken not more than once by any other process. We also consider a so-called polite semaphore, which is weaker than the buffered one and is strong enough for one of the three algorithms. Refinement techniques are used to compare the algorithms and the semaphores.     

Space-efficient FCFS group mutual exclusion

In the group mutual exclusion problem [Y. Joung, Asynchronous group mutual exclusion, Distrib. Comput. 13 (2000) 189], which generalizes mutual exclusion [E. Dijkstra, Solution of a problem in concurrent programming control, Comm. ACM 8 (9) (1965) 569], a process chooses a session when it requests entry into the Critical Section. A group mutual exclusion algorithm must ensure that the mutual exclusion property holds: if two processes are in the Critical Section at the same time, then they request the same session. In addition to mutual exclusion, lockout freedom, bounded exit, and concurrent entering are basic properties that are desirable in any group mutual exclusion algorithm.Hadzilacos in [Proc. 20th Annual Symp. on Principles of Distributed Computing, 2001, pp. 100-106] first introduced a fairness condition, called first-come-first-served (FCFS), for group mutual exclusion. The only known FCFS group mutual exclusion algorithm is due to Hadzilacos [Proc. 20th Annual Symp. on Principles of Distributed Computing, 2001, pp. 100-106], and requires Θ(N²) bounded shared registers, where N is the number of processes. We present a FCFS group mutual exclusion algorithm that uses only Θ(N) bounded shared registers. (The existence of such an algorithm was posed as an open problem by Hadzilacos.)     

Adaptive and efficient mutual exclusion

Summary. This paper presents adaptive algorithms for mutual exclusion using only read and write operations; the performance of the algorithms depends only on the point contention, i.e., the number of processes that are concurrently active during the algorithm execution (and not on n, the total number of processes). Our algorithm has O(k) remote step complexity and O(logk) system response time, wherek is the point contention. The remote step complexity is the maximal number of steps performed by a process where a wait is counted as one step. The system response time is the time interval between subsequent entries to the critical section, where one time unit is the minimal interval in which every active process performs at least one step. The space complexity of this algorithm is O(N logn), where N is the range of processes' names. We show how to make the space complexity of our algorithm depend solely on n, while preserving the other performance measures of the algorithm. Received: March 2001 / Accepted: November 2001     

Long-distance mutual exclusion for planning

Mutual exclusion (mutex) is a powerful mechanism for search space pruning in planning. However, a serious limitation of mutex is that it cannot specify constraints relating actions and facts across different time steps. In this paper, we propose a new class of mutual exclusions that significantly generalizes mutex and can be efficiently computed. The proposed long-distance mutual exclusion (londex) can capture constraints over actions and facts not only at the same time step but also across multiple steps. As a generalization, londex is much stronger than mutex, and provides a general and effective tool for developing efficient planners.We propose two levels of londex. The first level, londex₁, is derived from individual domain transition graphs (DTGs), and the second level, londex_m, is derived from multiple DTGs by taking into account the interactions among them. Londex constraints provide stronger pruning power but also require a large amount of memory. To address the memory problem, we further develop a virtual realization mechanism in which only a small proportion of londex constraints are dynamically generated as needed during the search. This scheme can save a huge amount of memory without sacrificing the pruning power of londex.For evaluation purposes, we incorporate londex into SATPlan04 and SATPlan06, two efficient SAT-based planners. Our experimental results show that londex_m can significantly improve over londex₁ since the former exploits causal dependencies among DTGs. Our experimental results for various planning domains also show significant advantages of using londex constraints for reducing planning time.     

A queue based mutual exclusion algorithm

A new elegant and simple algorithm for mutual exclusion of N processes is proposed. It only requires shared variables in a memory model where shared variables need not be accessed atomically. We prove mutual exclusion by reformulating the algorithm as a transition system (automaton), and applying simulation of automata. The proof has been verified with the higher-order interactive theorem prover PVS. Under an additional atomicity assumption, the algorithm is starvation free, and we conjecture that no competing process is passed by any other process more than once. This conjecture was verified by model checking for systems with at most five processes.     

互斥协议的安全性分析

安全性和活性是两大基本的系统属性,对于指导系统的设计与验证具有重要意义。通过对它们原始定义的形式化梳理,发现其缺乏对状态序列的具体约束。针对这一问题,使用对系统动作刻画更完善的行为时序逻辑进行了重定义,加入了初始状态和转移条件的约束。以此为基础,对互斥这一并发系统的典型属性进行了形式化的分析,由此说明如何判断一个属性是否满足安全性或活性的定义。该技术为实现系统性质的自动推理与验证提供了形式化基础。     

Adaptive mutual exclusion with local spinning

We present an adaptive algorithm for N-process mutual exclusion under read/write atomicity in which all busy waiting is by local spinning. In our algorithm, each process p performs O(k) remote memory references to enter and exit its critical section, where k is the maximum “point contention” experienced by p. The space complexity of our algorithm is Θ(N), which is clearly optimal. Our algorithm is the first mutual exclusion algorithm under read/write atomicity that is adaptive when time complexity is measured by counting remote memory references.A preliminary version of this paper was presented at the 14th International Symposium on Distributed Computing [6].     

Quorum-based algorithms for group mutual exclusion

We propose a quorum system, which we referred to as the surficial quorum system, for group mutual exclusion. The surficial quorum system is geometrically evident and is easy to construct. It also has a nice structure based on which a truly distributed algorithm for group mutual exclusion can be obtained and processed loads can be minimized. When used with Maekawa's algorithm, the surficial quorum system allows up to /spl radic/2n/m(m-l) processes to access a resource simultaneously, where n is the total number of processes and m is the total number of groups. We also present two modifications of Maekawa's algorithm so that the number of processes that can access a resource at a time is not limited to the structure of the underlying quorum system, but to the number that the problem definition allows.     

A fair distributed mutual exclusion algorithm

This paper presents a fair decentralized mutual exclusion algorithm for distributed systems in which processes communicate by asynchronous message passing. The algorithm requires between N-1 and 2(N-1) messages per critical section access, where N is the number of processes in the system. The exact message complexity can be expressed as a deterministic function of concurrency in the computation. The algorithm does not introduce any other overheads over Lamport's and Ricart-Agrawala's algorithms, which require 3(N-1) and 2(N-1) messages, respectively, per critical section access and are the only other decentralized algorithms that allow mutual exclusion access in the order of the timestamps of requests