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.)     

Simple,space-efficient,and fairness improved FCFS mutual exclusion algorithms

Let n$n$ be the number of threads that can compete for a shared resource R$R$. The mutual exclusion problem involves coordinating these n$n$ concurrent threads in accessing R$R$ in a mutually exclusive way. This paper addresses two basic questions related to the First-Come-First-Served (FCFS) mutual exclusion algorithms that use only read–write operations: one is regarding the lower bound on the shared space requirement and the other is about fairness.     

A time complexity lower bound for adaptive mutual exclusion

We consider the time complexity of adaptive mutual exclusion algorithms, where “time” is measured by counting the number of remote memory references required per critical-section access. For systems that support (only) read, write, and comparison primitives (such as compare-and-swap), we establish a lower bound that precludes a deterministic algorithm with o(k) time complexity, where k is point contention. In particular, it is impossible to construct a deterministic O(log k) algorithm based on such primitives.     

An improved lower bound for the time complexity of mutual exclusion

We establish a lower bound of remote memory references for N-process mutual exclusion algorithms based on reads, writes, or comparison primitives such as test-and-set and compare-and-swap. Our bound improves an earlier lower bound of established by Cypher. Our lower bound is of importance for two reasons. First, it almost matches the time complexity of the best known algorithms based on reads, writes, or comparison primitives. Second, our lower bound suggests that it is likely that, from an asymptotic standpoint, comparison primitives are no better than reads and writes when implementing local-spin mutual exclusion algorithms. Thus, comparison primitives may not be the best choice to provide in hardware if one is interested in scalable synchronization. Received: January 2002 / Accepted: September 2002 RID="*" ID="*" Work supported by NSF grants CCR 9732916, CCR 9972211, CCR 9988327, ITR 0082866, and CCR 0208289.     

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     

A tight bound on remote reference time complexity of mutual exclusion in the read-modify-write model

In distributed shared memory multiprocessors, remote memory references generate processor-to-memory traffic, which may result in a bottleneck. It is therefore important to design algorithms that minimize the number of remote memory references. We establish a lower bound of three on remote reference time complexity for mutual exclusion algorithms in a model where processes communicate by means of a general read-modify-write primitive that accesses at most one shared variable in one instruction. Since the general read-modify-write primitive is a generalization of a variety of atomic primitives that have been implemented in multiprocessor systems, our lower bound holds for all mutual exclusion algorithms that use such primitives. Furthermore, this lower bound is shown to be tight by presenting an algorithm with the matching upper bound.     

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     

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     

Closing the SoC design gap

Current mainstream system-on-chip (SoC) designs do not yet fully exploit the 100 million transistors per chip possible with today's mainstream silicon technology. System-level design and extensible processors can bridge the gap between silicon technology and actual SoC complexities. However, SoCs comprising 1,000 processors at a billion transistors by the end of the decade will require research advances in key areas like ESL design methodologies and NoC architectures.     

Countering design exclusion: bridging the gap between usability and accessibility

It is known that many people are being excluded unnecessarily from using products, services and environments that are essential for supporting independence and quality of life. Such exclusion often arises from designers taking inadequate account of the end users functional capabilities when making design decisions. This paper addresses how traditional usability techniques can be extended to include accessibility issues by considering the spread of user functional capabilities across the population. A series of measures for evaluating the level of design exclusion based on those capabilities is also presented.     

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.     

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.     

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     

Closing the gap between planning and control: A multiscale MPC cascade approach

A one-to-many, multiscale model predictive control (MPC) cascade is proposed for closing the gap between production planning and process control. The gap originates from the fact that planning and control use models at different scales, and the gap has existed since the first planning tool was deployed. Multiscaleness has been at the core of the challenge to coordinating heterogeneous solution layers, and there has been a lack of systematic treatment for multiscaleness in a control system. The proposed MPC cascade is devised as a plantwide master MPC controller cascading on top of multiple (n) slave MPC controllers.¹ The master can use a coarse-scale, single-period planning model as the gain matrix of its dynamic model, and it then can control the same set of variables that are only monitored by the planning tool. Each slave controller, using a fine-scale model, performs two functions: (1) model predictive control for a process unit, and (2) computation of proxy limits that represent the current constraints inside the slave. The master's economic optimizer amends the single-period planning optimization in real time with the slave's proxy limits, and the embedded planning model is thus reconciled with the MPC models for process units in the sense that the master's optimal solution now honors the slave's constraints. With this new approach, the proposed MPC cascade becomes the plantwide closed-loop control system that performs the reconciled planning optimization in its master controller and carries out the just-in-time production plan through its slave controllers.     

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 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。