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Unit 11: Inventory Model
Notes
Table makes a comparison of the two systems and brings out the significant
differences.
Table: Fixed-order Quantity and Fixed-time Period Differences
Feature Fixed-order quantity Model Fixed-time Period Model
Order The same amount ordered each time Quantity varies each time order is
quantity placed
When to Reorder point when inventory position Reorder when the review period
place order dips to a predetermined level arrives
Record Each time a withdrawal or addition is Counted only at review period.
keeping made
Size of Less than fixed-time period model Larger than fixed-order quantity
inventory model
Time to Higher due to perpetual record keeping
maintain
Type of items Higher-priced, critical, or important
items.
The models that emanate from this system are for perpetual systems that require continual
monitoring of inventory. Every time a withdrawal from inventory or an addition to inventory is
made, records must be updated. Generally, the Fixed-Order Quantity models are favored when:
1. Items are more expensive items because average inventory is lower.
2. Items are critical, e.g., repair parts, because there is closer monitoring and therefore quicker
response to potential stock out.
The models that emanate from this are similar to batch processing systems; counting takes place
only at the review period. The Fixed-time Period models require a larger average inventory
because it must also protect against stock out during the review period; while the fixed-order
quantity mode has no review period.
These differences and the nature of operations tend to influence the choice of the inventory
system that is more appropriate.
11.3 Fixed-order Quantity Modeling
In this unit we will consider Fixed-order Quantity i.e. inventory models in which demand is
assumed to be fixed and completely predetermined. The heart of inventory analysis resides in
the identification of relevant costs.
11.3.1 Uncertainty in Demand and Lead Time
Inventory systems have to cope with uncertainty. You have to decide on when to order and how
much to order with a view minimization of costs, maximization of profit, or maximization of
service level i.e. the objectives stated by the organization.
The most common way to estimate demand is to collect data about past experience and forecast
future demand based on that data. However, in re-order point models the probability distribution
of demand during the lead-time is an important characteristic in inventory management. There is
also uncertainty in demand, in costs, in lead-time and in supplied quantity
It is often assumed that demand for an item is formed from a large number of smaller demands
from individual customers. As a result, the resulting demand is continuous and follows a Normal
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