Distribution

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Distribution
- Distribution Use Cases
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Distribution Use Cases

Distribution Type	Use Cases in SCM	Examples
Empirical Data Distribution	Modeling real-world phenomena based on historical data	- Customer Demand Patterns - Lead Time Variability - Return Rates
Poisson Distribution	Events occurring independently at a constant rate	- Arrival of Orders - Supply Chain Failures - Warehouse Receiving Activities
Uniform Distribution	Simplifications when specific patterns are not evident	- Random Inspections - Lead Times for New Suppliers - Task Time Estimations
Normal Distribution	Data clustering around a central value with symmetric tails	- Demand Forecasting - Manufacturing Process Control - Transportation Time Analysis
Triangle Distribution	Limited data but known minimum, maximum, and most likely outcomes	- Project Completion Times - Cost Estimation for New Products - Supplier Performance Assessment
Exponential Distribution	Time between continuous, independent events at a constant rate	- Time Between Supply Chain Disruptions - Lead Time Distribution - Failure Rates of Equipment
Log-Normal Distribution	Positively skewed data where the log of the variable is normally distributed	- Product Life Cycle Times - Demand Distribution for High-value Items - Order Quantity Distribution
Weibull Distribution	Flexible modeling for various behaviors	- Equipment Lifespan and Reliability - Lead Time Variability - Product Failure Rates
Beta Distribution	Variables with a finite range, such as proportions and percentages	- Project Completion Progress - Quality Control Metrics - Inventory Levels as a Proportion of Capacity
Bernoulli Distribution	Binary outcomes	- Quality Inspection Outcomes - Demand Occurrence - Supplier On-time Delivery
Binomial Distribution
Gamma Distribution
Student t-Distribution