Sole sourcing in EOQ models with Binomial yield

We develop two EOQ-based inventory models in which an inventory manager must determine the order size as well as the supply reliability level in the presence of uncertainty in the quality and/or quantity of supply. The number of acceptable units in the order is captured by the Binomial yield model, and reliability is increased both by increasing the order setup cost and by increasing the unit price. For each developed model, we present an equation of which a solution is the optimal reliability level and a closed form solution for the optimal order size given the optimal reliability level. We then provide a comparison of the two models.