2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74595We consider a class of open stochastic processing networks, with feedback routing and overlapping server capabilities, in heavy traffic. The networks we consider satisfy the so-called complete resource pooling condition and therefore have one-dimensional approximating Brownian control problems. We propose a simple discrete review policy for controlling such networks. Assuming 2+εmoments on the interarrival times and processing times, we provide a conceptually simple proof of asymptotic optimality of the proposed policy.Published at http://dx.doi.org/10.1214/105051604000000495 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)Probability60K25, 60F17, 68M20, 90F35. (Primary)text