Machine Requirements 8/24/04 Paul A. Jensen Operations Research Models and Methods Copyright 2004 - All rights reserved

The System is Driven by Flows Through Operations Operations are implemented on machines Operations require raw materials Machines require resources

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

Machine Parameters and Variables

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

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

Example

Compute Machine Requirements per unit of finished good

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?

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