1. ETM 607 – Spreadsheet Simulations
Generating random numbers in Excel.
Generating random integer values from a uniform distribution
Generating random values for discrete probability distributions.
Simulating a simple single server queuing system.

2. ETM 607 – Spreadsheet Simulations
Definitions:
Random number – a value between 0 and 1.0, ~ U[0,1).
Random Variable – a variable with an associated probability distribution.
Random Variable – a function that assigns a real number to each outcome in the sample space (Feldman and Valdez-Flores).
ex. X ~ U[0,1)
Y ~ Exp(5.75)
Z ~ Normal(8.0,1.0)

3. ETM 607 – Spreadsheet Simulations
Definitions:
Probability Mass Function (pmf) – associated with a discrete random variable
p(x) = Pr{X = x}
Cumulative Distribution Function (cdf) –

4. ETM 607 – Spreadsheet Simulations
Definitions:
Probability Density Function (pdf) – associated with a continuous random variable
Cumulative Distribution Function (cdf) –

5. ETM 607 – Spreadsheet Simulations
See Lesson 2 Spreadsheet
Generating Random Numbers
Generating Random Variables

6. ETM 607 – Spreadsheet Simulations
Single Server Queue
Arrival Rate
Empty system
Service Rate
1 entity being served, 2 entities in queue

7. ETM 607 – Spreadsheet Simulations
Single Server Queue
Arrival Rate
Service Rate
Performance Measures:
Average queue size
Max queue size
Average waiting time
Max waiting time
Average time in system
Max time in system
Server utilization
Number served

8. ETM 607 – Spreadsheet Simulations
See Lesson 2 Spreadsheet
Single Server Queue
Activity Network
Inventory Problem