Procuring Fast Delivery, Part II: Sole Sourcing with Information Asymmetry

Professor Gérard Cachon

 

ABSTRACT

This paper studies, in the context of a queuing model, a buyer that sources a good or service from an single supplier chosen from a pool of potential suppliers. The buyer wants to minimize the sum of her procurement cost, inventory holding cost and backorder penalty cost. The latter two operating costs depend on the buyer's inventory policy and the supplier's delivery lead time, and the supplier's lead time depends on the supplier's capacity. Suppliers maximize their own profit, the buyer's transfer payment minus the supplier's capacity cost. Each supplier's capacity cost is private information, but the buyer has an unbiased estimate of their costs. We consider scenarios with only one potential supplier as well as scenarios with multiple potential suppliers, in which case competitive bidding is possible. Although we evaluate the buyer's optimal procurement mechanism for different scenarios, we provide several alternative strategies. We highlight one in particular, which we call a late-fee mechanism: the buyer pays the supplier a fixed unit price and charges the supplier a fixed late fee for on-order units; if there is only one potential supplier, the buyer picks the unit price, otherwise, it is set with an auction. The late-fee mechanism neither minimizes the buyer's total cost nor maximizes the supply chain's profit, but along either dimension it is near optimal (generally within 1%). But, due to its simplicity, it should be implementable in practice, which, in combination with its near optimal performance, makes the late-fee mechanism quite attractive. In addition, we find that competitive bidding always significantly reduces the buyer's total cost.