A production inventory model with linear trend in demand is developed. Different deterioration rates are considered in a cycle. Shortages not allowed. To illustrate the model numerical example is provided and sensitivity analysis is also carried out for parameters.

This paper presents a three-level supply chain model which includes single supplier, several distribution centers and sets of retailers. For this purpose, by adopting the queuing approach, a mixed nonlinear integer programming model is formulated. The proposed model follows minimizing the total cost of the system by determining: 1) the number and location of distribution centers between candida...

abstractin this study, a vendor-managed inventory model is developed for a single-vendor multiple-retailer single-warehouse (sv-mr-sv) supply chain problem based on the economic order quantity in which demands are stochastic and follow a uniform probability distribution. in order to reduce holding costs and to help balanced on-hand inventory cost between the vendor and the retailers, it is assu...

We develop a DSGE model to explain salient empirical regularities regarding fluctuations in aggregate inventory accumulation over the business cycle while simultaneously explaining a distinct set of observations on the behavior of this series at higher frequencies. We begin with a generalized (S,s) model of inventory investment wherein firms fixed costs of ordering inputs that lead them to econ...

this paper develops a single-vendor single-retailer supply chain for multi-product. the proposed model is based on vendor managed inventory (vmi) approach and vendor uses the retailer's data for better decision making. number of orders and available capital are the constraints of the model. in this system, shortages are backordered; therefore, the vendor’s warehouse capacity is another limitati...

This paper develops a new model for studying requirements planning in multistage production-inventory systems. We first characterize how most industrial planning systems work, and we then develop a mathematical model to capture some of the key dynamics in the planning process. Our approach is to use a model for a single production stage as a building block for modeling a network of stages. We s...

We develop an equilibrium business cycle model where nonconvex delivery costs lead producers of final goods to follow generalized (S,s) inventory policies with respect to intermediate goods. When calibrated to match the average inventory-to-sales ratio in postwar U.S. data, our model reproduces two-thirds of the cyclical variability of inventory investment. Moreover, inventory accumulation is s...