A Wholesale Level Consumable Item Inventory Model for Non-stationary Demand Patterns


Book Description

The U.S. military presently manages about 88 billion dollars in spare and repair parts, consumables, and other support items. Department of Defense (DOD) inventory models which help wholesale item managers make inventory decisions concerning these items are based on the assumption that mean demand remains constant over time. In DOD this assumption is rarely met. During periods of declining demand, such as that associated with force reduction or equipment retirement, the inventory models usually keep stock levels too high, generating excess material. Recently, the amount of excess in DOD was estimated to be as high as 40 billion dollars. On the other extreme, during periods of increasing demand, the models generally provide too little stock, resulting in poor weapons system support. The purpose of this research was to develop an inventory model which does not rely on the assumption that mean demand is stationary. Use of the model would be appropriate when a known or predictable increase or decrease in mean demand is forecasted. Through simulation the model's performance was evaluated and compared with that of the Navy's Uniform Inventory Control Program (UICP) model. The results indicate that the proposed model significantly outperforms the existing model when mean demand is non- stationary. Additionally, the results indicate that the proposed model's performance is equal to or better than the existing Navy model under many stationary mean demand scenarios.




A Wholesale Level Consumable Item Inventory Model for Non-stationary Demand Patterns


Book Description

The U.S. military presently manages about 88 billion dollars in spare and repair parts, consumables, and other support items. Department of Defense (DOD) inventory models which help wholesale item managers make inventory decisions concerning these items are based on the assumption that mean demand remains constant over time. In DOD this assumption is rarely met. During periods of declining demand, such as that associated with force reduction or equipment retirement, the inventory models usually keep stock levels too high, generating excess material. Recently, the amount of excess in DOD was estimated to be as high as 40 billion dollars. On the other extreme, during periods of increasing demand, the models generally provide too little stock, resulting in poor weapons system support. The purpose of this research was to develop an inventory model which does not rely on the assumption that mean demand is stationary. Use of the model would be appropriate when a known or predictable increase or decrease in mean demand is forecasted. Through simulation the model's performance was evaluated and compared with that of the Navy's Uniform Inventory Control Program (UICP) model. The results indicate that the proposed model significantly outperforms the existing model when mean demand is non- stationary. Additionally, the results indicate that the proposed model's performance is equal to or better than the existing Navy model under many stationary mean demand scenarios.







Wholesale Level Reorder Point and Reorder Quantity Computation During Periods of Declining Demand


Book Description

For several decades the U.S. Navy has used a set of specific mathematical inventory models to help wholesale item managers make management decisions concerning consumable items of material. Implicit in these models is the assumption that the mean of quarterly demand for an item remains constant over time. This assumption is violated often, particularly during periods of force reduction or when equipment is retired. When this declining demand pattern occurs, the inventory models usually keep stock levels too high. This results in excess material known as inapplicable inventory. Recently, inapplicable inventory in the Navy was estimated to be as high as 10.4 billion dollars. Navy logisticians have invested a great deal of effort in solving this problem, mainly by focusing on forecasting. While improved forecasting may reduce inapplicable inventory to some extent, it will not, by itself, solve the problem This research has explored the problem of inapplicable inventory, its model- based causes and alternative solutions. The resulting inventory model, designed to work easily within the existing Navy UICP inventory information system, significantly reduced inapplicable inventory in several simulations which were run in this research.







Inventory Control of Large Scale Multi-Item System with Minimum Order Quantity Constraint and Non-Stationary Demand


Book Description

We consider a large scale multi-item periodic-review stochastic inventory system with Minimum Order Quantity (MOQ) requirements on the total order size of all items. The item demands are stochastic and non-stationary. The retailer must decide at each time period whether and how many of each item to order from the supplier. The goal is to maximize the reward generated by satisfying the end customers demands while minimizing the costs of holding unsold inventory. We introduce a parameterized heuristic, the w-policy, that relies on our detailed analysis of the problem.We demonstrate the scalability of this heuristic up to ten thousand items, which is unmatched in the literature on the non-stationary demand version of the MOQ problem. The results of our numerical study on large scale real world data sets exhibit the efficiency of the w-policy in these challenging settings. Moreover, our numerical study shows that the w-policy performs at least as well as the state-of-the-art method (S,T) on the simplified problem when the demand is considered stationary, while being more robust in a real supply chain environment.Our results therefore indicate that the w-policy is more robust, has a larger scope of applicability, and is significantly more scalable than state of the art methods for multi-item stochastic inventory control with MOQ requirements.




An Evaluation of the Proposed MSRT Replenishment Model for Wholesale Consumable Items


Book Description

This thesis compares the current wholesale level consumable replenishment inventory model, now in use at Navy Inventory Control Points (ICPs), with a proposed Mean Supply Response Time (MSRT) Model. The purpose of the MSRT model is to introduce a readiness measure into wholesale inventory management. The objective of the MSRT model is to determine inventory depths which minimize the mean supply response time subject to not exceeding the inventory dollar investment provided by the UICP model for the same items. The MSRT model uses a marginal analysis optimization procedure. A comparative analysis of the models' results indicates that the MSRT model provides consistently better supply system performance, in terms of supply material availability (SMA) and mean supply response time (in days), than the UICP model for items with a medium to low average quarterly demand. For medium to high quarterly demand items, there is no significant difference in the models' performances. Keywords: Naval supply system, Fortran, Subroutines. (kr).




Stationary Properties of a Two-echlon Inventory Model for Low Demand Items


Book Description

The paper gives a description of a two-echelon inventory model with exact expressions for the stationary distributions of stock-on-hand and backorders at the various facilities. Items are completely recoverable, completely consumable (nonrecoverable), or recoverable with a positive condemnation rate. Repair is performed at base or depot levels, and repair and transportation times are assumed to be determiniatic. The model applies to items with reasonably low base demand rates since it is assumed that the bases use continuous review replenishment policies and the depot uses a general policy unless the item is completely recoverable. A solution algorithm enables the construction of a cost-effectiveness curve of inventory investment vs. expected base backorders under an optimal allocation. Because the model yields exact results, it can be used to check other techniques that are developed to treat positive condemnation rates or low demand consumable items.