Makowski, Armand M.Philips, T.K.We present some monotonicity and convexity properties for the sequence of partial sums associated with a sequence of non- negative independent identically distributed random variables. These results are applied to a system of parallel queues with Bernoulli routing, and are useful in establishing a performance comparison between two scheduling strategies in multi-processor systems.en-USstochastic convexityi.i.d. non-negative random variablesforward recurrence timesmulti-processor systemsfork-joinrandom routingCommunicationSignal Processing SystemsTechnical Report