This book provide the latest time at which processing of jobs on machines A,and B and so on mth machine must be started such that these machines work continuously without any break until the last job is completed on them. The first machine has no idle time and hence, works continuously, .also fuzzy logic engine is also designed with the help of Matlab. This book helps the decision makers in determining the best latest time at which machines should be hired for a given set of jobs so as to minimize the total expected hiring cost with no-idle constraint.