Lamport's Bakery Algorithm Research Articles

Design Simulation Queue Cake Shop With Lamport's Bakery Algorithm

Mutual exclusion is one of the mechanisms that can be used to solve concurrency problems in the operating system. In the operating system, there are resources that cannot be shared at the same time, such as printers. These kinds of resources are called critical resources. Programs that use critical resources are called entering critical regions/sections. Programmers cannot rely on the operating system to understand and enforce these limits. The mutual exclusion settlement process was submitted by several experts. One of them is Lamport with a method known as Lamport's Bakery Algorithm. The work process of Lamport's Bakery Algorithm starts from the buyer entering the store and receiving the sequence number. If there is a waiter who is idle (not being / will serve other buyers), then the buyer directly asks for service from the waiter. If not, then the buyer sits in the buyer's waiting area and waits until his turn. Shoppers who have finished being served out of the store and waiters who are idle serve the lowest numbered buyers who are waiting at the waiting place of the buyer

Analysing Mutual Exclusion using Process Algebra with Signals

In contrast to common belief, the Calculus of Communicating Systems (CCS) and similar process algebras lack the expressive power to accurately capture mutual exclusion protocols without enriching the language with fairness assumptions. Adding a fairness assumption to implement a mutual exclusion protocol seems counter-intuitive. We employ a signalling operator, which can be combined with CCS, or other process calculi, and show that this minimal extension is expressive enough to model mutual exclusion: we confirm the correctness of Peterson's mutual exclusion algorithm for two processes, as well as Lamport's bakery algorithm, under reasonable assumptions on the underlying memory model. The correctness of Peterson's algorithm for more than two processes requires stronger, less realistic assumptions on the underlying memory model.

Group mutual exclusion in linear time and space

We present two algorithms for the Group Mutual Exclusion (GME) Problem that satisfy the properties of Mutual Exclusion, Starvation Freedom, Bounded Exit, Concurrent Entry and First Come First Served. Both our algorithms use only simple read and write instructions, have O(N) Shared Space complexity and O(N) Remote Memory Reference (RMR) complexity in the Cache Coherency (CC) model. Our first algorithm is developed by generalizing the well-known Lamport's Bakery Algorithm for the classical mutual exclusion problem, while preserving its simplicity and elegance. However, it uses unbounded shared registers. Our second algorithm uses only bounded registers and is developed by generalizing Taubenfeld's Black and White Bakery Algorithm to solve the classical mutual exclusion problem using only bounded shared registers. We show that contrary to common perception our algorithms are the first to achieve these properties with this combination of complexities.

A Power-Efficient Distributed TDMA Scheduling Algorithm with Distance-Measurement for Wireless Sensor Networks

This paper describes a power-efficient distributed TDMA slot scheduling algorithm which the slot allocation priority is controlled by distance measurement information in details. In our former proposed scheme, L-DRAND+, an extension of Lamport's bakery algorithm for prioritized slot allocation based on the distance measurement information between nodes and a packet-based transmission power control had been applied. In this paper, we propose its enhanced scheme with a weighted rule control and state machines refinements of L-DRAND+, named L-DRAND++. This aims at the achievement of media access control methods which can construct a local wireless network practically by limiting the scope, and eliminate the redundant power consumption in the network. The proposed scheme can be shown as a possible replacement of DRAND algorithm for Z-MAC scheme in a distance-measurement-oriented manner. In addition, to evaluate the ordered node sequence determined by the algorithm, node sequence metric is proposed. By using the metric, we can evaluate protocol behaviors according to the environmental situation around the node.

Approximated parameterized verification of infinite-state processes with global conditions

We present a simple and effective approximated backward reachability procedure for parameterized systems with existentially and universally quantified global conditions. The individual processes operate on unbounded local variables ranging over the natural numbers. In addition, processes may communicate via broadcast, rendez-vous and shared variables. The procedure operates on an over-approximation of the transition system induced by the parameterized system. We verify mutual exclusion for complex protocols such as atomic, non-atomic and distributed versions of Lamport's bakery algorithm.

Tight Bounds for Critical Sections in Processor Consistent Platforms

Most weak memory consistency models are incapable of supporting a solution to mutual exclusion using only read and write operations to shared variables. Processor consistency-Goodman's version (PC-G) is an exception. Ahamad et al. showed that Peterson's mutual exclusion algorithm is correct for PC-G, but Lamport's bakery algorithm is not. This paper derives a lower bound on the number of and type of (single or multiwriter) variables that a mutual exclusion algorithm must use in order to be correct for PC-G. Specifically, any such solution for n processes must use at least one multiwriter variable and n single-writer variables. Peterson's algorithm for two processes uses one multiwriter and two single-writer variables, and therefore establishes that this bound is tight for two processes. This paper presents a new n-process algorithm for mutual exclusion that is correct for PC-G and achieves the bound for any n. While Peterson's algorithm is fair, this extension to arbitrary n is not fair. Six known algorithms that use the same number and type of variables are shown to fail to guarantee mutual exclusion when the memory consistency model is only PC-G, as opposed to the sequential consistency model for which they were designed. A corollary of our investigation is that, in contrast to sequential consistency, multiwriter variables cannot be implemented from single-writer variables in a PC-G system

AsmL Specification and Verification of Lamport�s Bakery Algorithm

We present a specification of Lamport’s Bakery algorithm written in AsmL specification language. By exploration of the state space of the induced labeled transition system we show how to verify important safety and liveness properties of the algorithm.

A distributed synchronization mechanism for interacting processes

Reliable synchronization is intended to ensure a graceful degradation of the system in the event of a failure. Solutions to synchronization problems of this kind under constant space conditions are presented. Lamport's bakery algorithm and generalized critical region have been modified and extended for application to this problem.

An optimal algorithm for mutual exclusion in computer networks

An algorithm is proposed that creates mutual exclusion in a computer network whose nodes communicate only by messages and do not share memory. The algorithm sends only 2*(N - 1) messages, where N is the number of nodes in the network per critical section invocation. This number of messages is at a minimum if parallel, distributed, symmetric control is used; hence, the algorithm is optimal in this respect. The time needed to achieve mutual exclusion is also minimal under some general assumptions. As in Lamport's bakery algorithm, unbounded sequence numbers are used to provide first-come firstserved priority into the critical section. It is shown that the number can be contained in a fixed amount of memory by storing it as the residue of a modulus. The number of messages required to implement the exclusion can be reduced by using sequential node-by-node processing, by using broadcast message techniques, or by sending information through timing channels. The readers and writers problem is solved by a simple modification of the algorithm and the modifications necessary to make the algorithm robust are described.