Answers how much to order when to order. Reduced price when item is purchased in larger quantities.The first model we will present is called the economic order quantity EOQ. We will discuss two types of quantity discount contracts: all units discounts and.buy the lowest total cost quantity, save the buyer money and, in some cases, receive more goods. quantity discount model example When we buy ...

We study an integrated quantity discount and vehicle routing problem where truck utilization is increased by building multi-stop routes and increasing order sizes through a purchase incentive. We model the problem and prove it to be NP-hard. Our experiments show that commercial solvers do not effectively solve instances with more than ten buyers. We propose the use of non-compromising route eli...

This paper develops a model for illustrating how to use quantity discount policy to achieve supply chain coordination. A supplier–buyer system selling one type of product with multi-period and probabilistic customer demand is considered. We first show that if both the buyer and supplier can find a coordination mechanism to make joint decisions, the joint profit in this situation is more than th...

Dynamic lot sizing problem is one of the significant problem in industrial units and it has been considered by  many researchers. Considering the quantity discount in  purchasing cost is one of the important and practical assumptions in the field of inventory control models and it has been less focused in terms of stochastic version of dynamic lot sizing problem. In  this paper, stochastic dyn...

Quantity discounts are a useful mechanism for coordination. Here we investigate such discounts from the supplier’s perspective, both from a non-cooperative game-theoretical approach and a joint decision model. Taking into account the price elasticity of demand, this analysis aids a sole supplier in establishing an all-unit quantity discount policy in light of the buyer’s best reaction. The Stac...

We consider a problem motivated by a central purchasing organization for a major office products distributor. This purchasing organization must source a quantity of a particular resale item from a set of capacitated suppliers. In our case each supplier offers an incremental quantity discount purchase price structure. The purchaser’s objective is to obtain a quantity of a required item at minimu...

Dynamic lot sizing problem is one of the significant problem in industrial units and it has been considered by many researchers. Considering the quantity discount in purchasing cost is one of the important and practical assumptions in the field of inventory control models and it has been less focused in terms of stochastic version of dynamic lot sizing problem. In this paper, stochastic dynamic...

Traditionally, supplier selection should simultaneously take into account numerous heterogeneous criteria, and then is a tedious task for the purchasing decision makers. It becomes especially complicated when quantity discounts are considered at the same time. Under such manner, most studies often formulate such a problem as a Multi-Objective Linear Programming (MOLP) problem, and then scale it...

Because transportation services provided by container lines to forwarders cannot be stored, they can be considered to be newsvendor-type products. This paper discusses a method used to optimize container lines’ freight tariffs in order to maximize their expected profit by considering changes in order quantities made by forwarders responding to the price schemes suggested by the container lines....

In the supply-chain literature, an increasing body of work studies how suppliers can use incentive schemes such as quantity discounts to influence buyers’ ordering behaviour, thus reducing the supplier’s (and the total supply chain’s) costs. Various functional forms for such incentive schemes have been proposed, but a critical assumption always made is that the supplier has full information abo...