A delay-optimal quorum-based mutual exclusion scheme with fault-tolerance capability

Abstract

The performance of a mutual exclusion algorithm is measured by the number of messages exchanged per critical section execution and the delay between successive executions of the critical section. There is a message complexity and synchronization delay trade-off in mutual exclusion algorithms. Lamport's (1978) algorithm and Ricart and Agrawal's (1981) algorithm both have a synchronization delay of T, but their message complexity is O(N). Maekawa's (1985) algorithm reduces message complexity to O(/spl radic/N); however, it increases the synchronization delay to 2T. After Maekawa's algorithm, many quorum-based mutual exclusion algorithms have been proposed to reduce message complexity or increase the resiliency to site and communication link failures. Since these algorithms are Maekawa-type algorithms, they also suffer from long synchronization delay 2T. We propose a delay-optimal quorum-based mutual exclusion algorithm which reduces the synchronization delay to T and still has the low message complexity O(K) (K is the size of the quorum, which can be as low as log N). A correctness proof and detailed performance analysis are provided.