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 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...

A significant issue of the supply chain problem is how to integrate different entities. Managing supply chain is a difficult task because of complex integrations, especially when the products are perishable in nature. Little attention has been paid on ordering specific perishable products jointly in uncertain environment with multiple sources and multiple destinations. In this article, we propo...

‎this paper proposes a multi-supplier multi-product inventory model in which the suppliers have unlimited production capacity, allow delayed payment, and offer either an all-unit or incremental discount. the retailer can delay payment until after they have sold all the units of the purchased product. the retailer’s warehouse is limited, but the surplus can be stored in a rented warehouse at a...

During production process, we may experience with some imperfect things disregarding every single precautionary measures. The are each of two dismissed promptly at the season or reworked and sold as great ones customers given plenty discount to keep up generosity organization. This article considers about this practical circumstances includes price-sensitive demand. As propels, have defective i...

In this article, manufacturer-retailer supply chain coordination (SCC) has been developed under periodic review inventory system. In the studied model, the retailer as downstream member uses periodic review inventory policy and decides about review period (T) and order-up-to-level (R). Also, the manufacturer as upstream member faces EPQ system and determines the number of shipments from manufac...

This paper considers the minimization version of a class of nonconvex knapsack problems with piecewise linear cost structure. The items to be included in the knapsack have a divisible quantity and a cost function. An item can be included partially in the given quantity range and the cost is a nonconvex piecewise linear function of quantity. Given a demand, the optimization problem is to choose ...

Supplier selection and allocation of optimal order quantity are two of the most important processes in closed-loop supply chain (CLSC) and reverse logistic (RL). So that providing high quality raw material is considered as a basic requirement for a manufacturer to produce popular products, as well as achieve more market shares. On the other hand, considering the existence of competitive environ...

The amount of global ammonia (NH3) emissions is growing continuously, similar to the damage environment, particularly humans and animals, caused by those emissions. Various problems derived from pollution have attracted increasing attention in recent years. In particular, accumulation poultry farms a concern for industry as it can lead possible due reduced bird performance, respiratory tract sk...