One of the basic assumptions of the classical dynamic lot-sizing model is that the aggregate demand of a given period must be satisfied in that period. Under this assumption, if backlogging is not allowed then the demand of a given period cannot be delivered earlier or later than the period. If backlogging is allowed, the demand of a given period cannot be delivered earlier than the period, but...

Under the assumption that the replenishment lead time is dependent on both lot size of the buyer and production rate of the vendor, an integrated production inventory model is presented in this paper. The decision-making interaction of lead time between a buyer and a vendor in the integrated inventory model is analyzed. In terms of the model, a solution procedure has been developed to obtain th...

In this study, a two-echelon supplier-manufacturer system with finite production rate and lead time is proposed. It is assumed that shortage is not permitted and the lot size of manufacturer (second echelon) is m-factors of the lot size of supplier (first echelon) and supplier can supply the manufacturer’s lot size in several shipments in each cyc...

This paper uses an alternative approach to reexamine a prior study on joint determination of manufacturing lot-size and shipment policy in a vendor-buyer system with rework process and an improving delivery plan. The proposed method is a straightforward approach in terms of algebraic derivations. It is different from the conventional method that needs to apply the first-order and second-order d...