Optimal quantity discount design with limited information sharing

In this article we address the optimal quantity discount design problem of a supplier in a two-stage supply chain where the supplier and the buyer share annual demand information only. The supply chain faces a constant deterministic demand that is not price sensitive and operates with fixed setup costs in both stages. We show that the supplier can actually moderate a cost-minimizing buyer to order in quantities different than the buyer's optimal order quantity in the traditional setting and develop a multi-breakpoint quantity discount scheme that maximizes supplier's expected net savings. The proposed multi-breakpoint discount scheme can be easily computed from the available information and, while also maximizing the supplier's net savings, is very effective in achieving high levels of supply chain coordination efficiency in the presence of limited information.