We consider a two-stage production-inventory system. Each stage is made of an exponential production server and an output inventory. The downstream inventory faces a Poisson demand and each inventory receives product returns that can be either accepted or rejected. The objective is to find a production/admission policy minimizing the expected discounted costs over an infinite horizon. We consid...

In traditional inventory models such as the economic order quantity (EOQ) and the economic production quantity (EPQ) the sole objective is to minimize the total inventory-related costs, typically holding cost and ordering cost. These models do not consider the presence of defective products in the lot or rework of them. Recently, Jamal, Sarker, and Mondal (Jamal, A. A. M., Sarker, B. R., & Mond...

this paper investigates an epq model with the increasing demand and demand dependent production rate involving the trade credit financing policy, which is seldom reported in the literatures. the model considers the manufacturer was offered by the supplier a delayed payment time. it is assumed that the demand is a linear increasing function of the time and the production rate is proportional to ...

The project work presented in this thesis has proposed solutions related to the control of production and work-in-process inventory in a multi-item multi-stage manufacturing system. A suitable base-stock inventory control policy is recommended to ensure that the desired service levels are maintained between production stages and for the final customers. Concept of coupling the production lines ...

Market segmentation is an essential element of marketing in industrialized countries. Goods can no longer be produced and sold without considering customer needs and recognized the heterogeneity of these needs. In this paper, we use market segmentation approach in single product inventory system with deteriorating items. The objective is to make use of optimal control theory to solve the produc...

In this paper we study a type of production-inventory system in which the production and demand rates are modulated by a background state process modeled as a finite state Continuous Time Markov Chain (CTMC). When the production rate exceeds the demand rate, the inventory level increases, and when the demand rate exceeds the production rate, it decreases. When the inventory level reaches zero, ...

this study considers a two echelon supply chain system consisting of one manufacturer and one retailer. under vendor managed inventory (vmi) program, the manufacturer is authorized to manage inventories of agreed upon stock keeping units at retail's locations. in this paper, we assume that the manufacturer monitors inventory levels at retailer's location, replenishes her stock under (...

in the fundamental production inventory model, in order to solve the economic production quantity (epq) we always fix both the demand quantity and the production quantity per day. but, in the real situation, both of them probably will have little disturbances every day. therefore, we should fuzzify both of them to solve the economic production quantity (q*) per cycle. using α-cut for defuzzific...

This simulation study explores and compares the potential benefits of three work-in-process inventory drive systems and their associated inventory buffer characteristics. The three inventory drives are a push, a pull and a hybrid push-pull system. While these systems have some aspects in common, their buffer management systems vary. The statistical analysis associated with the study was based o...