Please refer to the following textbook:

Distributed and Cloud Computing 1st edition

From Parallel Processing to the Internet of Things

ISBN:

0123858801

ISBN-13:

9780123858801

Authors:Kai Hwang Jack Dongarra Geoffrey Fox Geoffrey C Fox

Problem 2.2 This problem refers to the redundancy technique. Assume that when a node fails, it takes 10 seconds to diagnose the fault and another 30 seconds for the workload to be switched over. a. What is the availability of the cluster if planned downtime is ignored? b. What is the availability of the cluster if the cluster is taken down one hour per week for maintenance, but one node at a time