Before revision:  In order to prove these results , novel sufficient conditions are developed for sample-path delay optimality and near delay optimality, which can be applied to any queueing system and are not limited to the study of replications .
After revision:  Novel sample-path tools are developed to prove these results , novel sufficient conditions are developed for sample-path delay optimality and near delay optimality, which can be applied to any queueing system and are not limited to the study of replications .