Inventory models in which the demand rate depends on the inventory level are based on the common real-life observation that greater product availability tends to stimulate more sales. Previous models incorporating inventory-level dependent demand rate assume that the holding cost is constant for the entire inventory cycle. This paper considers the inventory policy for an item with a stock-level...

We study a risk-averse newsvendor problem with quantity competition and price competition. Under the Conditional Value-at-Risk (CVaR) criterion, we characterize the optimal quantity and pricing decisions under both quantity and price competition. For quantity competition, we consider two demand splitting rules, namely proportional demand allocation and demand reallocation. Although competition ...

a new mathematical model for the optimal production isformulated for the inventory management system under time-varyingand stochastic inflation environment for deteriorating items. the timehorizon is finite and demand rate is dependent to the inflation. in thereal situation, some but not all customers will wait for backlogged itemsduring a shortage period, such as for fashionable commodities or...

Optimal ordering and pricing policy with supplier quantity discounts and price-dependent stochastic demand Jianmai Shi a b , Guoqing Zhang b & Kin Keung Lai c a School of Information System and Management, National University of Defense Technology, Changsha, Hunan, China b Department of Industrial and Manufacturing Systems Engineering, University of Windsor, Windsor ON, Canada c Department of M...

A firm facing price dependent stochastic demand aims to maximize its total expected profit over a planning horizon. In addition to the regular unit selling price, the firm can utilize quantity discounts to increase sales. We refer to this dual-pricing strategy as quantity-based price differentiation. At the beginning of each period, the firm needs to make three decisions: replenish the inventor...

This paper investigates the backorder rate inventory problem with defective units. In practice, the uncertainties of customer’s demand and backorder rate are inherent; hence, backorder rate and customer’s demand are not constant. In this study, we assume that the backorder rate is dependent on the amount of shortages and backorder price discounts, and the lead time demand follows a mixture of d...

In this paper, we consider a supply chain which consists of a single manufacturer and a single retailer with a single product type. Demand is assumed to be dependent on the retailer's stock level. Without coordination, the retailer determines its order quantity to maximize its own profit, which is usually smaller than the manufacturer's economic production quantity. Three coordination policies ...