We study a scheduling or allocation problem with the following characteristics: The goal is to execute a number of unspecified tasks on a parallel machine in any order and as quickly as possible. The tasks are maintained by a central monitor that will hand out batches of a variable number of tasks to requesting processors. A processor works on the batch assigned to it until it has completed all tasks in the batch, at which point it returns to the monitor for another batch. The time needed to execute a task is assumed to be a random variable with known mean and variance, and the execution times of distinct tasks are assumed to be independent. Moreover, each time a processor obtains a new batch from the monitor, it suffers a fixed delay. The challenge is to allocate batches to processors in such a way as to achieve a small expected overall finishing time. We introduce a new allocation strategy, the Bold strategy, and show that it outperforms other strategies suggested in the literature in a number of simulations.