1. Machine Requirements 8/24/04 Paul A. Jensen
Operations Research Models and Methods
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2. The System is Driven by Flows Through Operations
Operations are implemented on machines
Operations require raw materials
Machines require resources

3. Operations are implemented on machines
Unit
Machine
Flow
Time
Assignment 1
1.929 2
1.736
3.472 3
3.086
1.543 4
1.389
0.417 5
5.879
2.352 6
5.291
10.582 7
4.762
2.381 8
1.111
1.333

4. Machine Parameters and Variables

5. Machine requirements are linear functions of demand
The time required per unit of product
The time required on the machine for production V

6. The minimum number of machines
The minimum number of machines depends on the time available
Statistical fluctuations may require that more than the minimum be provided

7. Example

8. Compute Machine Requirements
per unit of finished good

9. What is the bottleneck machine?
If all mk = 1, what is the bottleneck machine and what is the production?
If m2 = 3 and all other mk = 1 what is the bottleneck and what is the production?

10. How many machines do you need?
Say V = 100/week