We consider a closed-loop supply chain where new products are produced to order and returned products are refurbished for reselling. The solution to aprice-setting problem enforces the heavy traffic condition, under which we address the production rate control problem for two types of cost functions. Wesolve a drift-control problem for an approximate system driven by a correlated two-dimensional Brownian motion. The solutions to this system are then used to obtain asymptotically optimal control policies. We also conduct a numerical study to explore the effects of different parameters on the optimal production rates and the resulting costs.
Available at: http://works.bepress.com/sarah_m_ryan/16/