In this paper, the joint problem of ordering and offering price discount by a supplier to his sole/major buyer is analyzed. The objective is to induce the buyer to alter his order schedule and size so that the supplier can benefit from lower set up, ordering, and inventory holding costs. We...

Most scheduling research has considered optimizing a single performance measure (criterion). In this paper we consider the problem of scheduling jobs on a single machine when the desirability of a schedule is evaluated using more than one performance measure. The procedures developed here can be...

In this paper we present a heuristic method, based on Lagrangian relaxation, for multilevel lot-sizing when there is a single bottleneck facility. A series of Lagrangian relaxations (one for each item in the product structure) is imbedded in a branch and bound procedure. The objective is to find...

Monahan (Monahan, James P. 1984. A quantity discount pricing model to increase vendor profits. Management Sci. 30 (June) 720--726.) develops a model for establishing an optimal quantity discount schedule from a vendor's viewpoint. In this note we show that this model is limited to the case where...

Component lot-splitting considerations, in which the lot-size of a component item may cover only a fraction of its parent item's lot-size, have been ignored in the literature when determining lot-sizes of items in multi-stage manufacturing systems. In this paper, a multi-stage lot-sizing problem...