The stochastic uncapacitated lot-sizing problems with incremental quantity discount have been studied in this paper. First, a multistage stochastic mixed integer model is established by the scenario analysis approach and an equivalent reformulation is obtained through proper relaxation under the decreasing unit order price assumption. The proposed reformulation allows us to extend the productio...

We provide a broad characterization of the supply chain settings in which perfect coordination can be achieved with a simple wholesale pricing scheme based on constant unit wholesale prices or a single quantity discount scheme. We confine ourselves to two-echelon chains with a single supplier servicing a network of retailers who compete with each other by selecting retail prices (Bertrand compe...

The joint replenishment problem has been extensively studied and the strategy adopted by a large variety of retailers in recent years. However, under minimum order quantity other constraints does not receive sufficient attention. This paper analyzes retailing supply chain involving supplier that provides discount schedules limits quantity. include requirements for each item as to total quantity...

We present an extension to the multi-product newsvendor problem by incorporating the retailer’s pricing decision as well as considering supplier quantity discount. The objective is to maximize the expected profit of the retailer through jointly determining the ordering quantities and selling prices for the products, subject to multiple capacity constraints. We formulate the problem as a General...

This paper presents an economic order quantity (EOQ) inventory model for imperfect quality items with receiving a reparative batch and overlapping in dense fuzzy environment Here, the are identified by screening divided into either scrap or reworkable items. The kept store until next received. Afterwards, returned to supplier be reworked. Also, discount on purchasing cost is employed as offer o...

Even within a store chain and format, supermarket outlets often exhibit substantial differences in selling surface. For chain managers, this raises the issue of correctly anticipating the promotion lift, and of profitably managing promotion activities, across these outlets. In this paper, we conceptualize why and how store size influences the category sales effectiveness of four promotional ind...