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8/24/04
Paul A. JensenOperations Research Models and Methods
Copyright 2004 - All rights reserved
Models for the Production System
2
What this course will do: Provide an understanding of problems and
issues in manufacturing design Build flow models embodying the components
of the manufacturing process Use operations research tools to analyze
models and make decisions Identify waste in the manufacturing process Use models to quantify waste Use models for decisions to alleviate waste
3
The production
system may be very complex
M1
M1
R1R2 R3
M1
M1
M1
M2
M1
M1
M3
M1
M1
M4
M1
M1
M5
M1 M2
M3
M5
M4
M7
M6
Offices
V
M1
M1
M6
Operations Machines Resources
Raw Materials
4
Many design issues arise for the production system
Business Design
Product Design Schedule Design
Process Design
Control System
Design
Facility Design
Distribution
Design
Service System
Design
Production
System
Design
Machine
Design
5
The process is described by its operations
R1 R2R3
A
3
2
1
4
5
6
7
8
R1 R2 R3
6
Alternative process designs with the same operations
3
2
1
4
5
6
7
8
R1 R2 R3
3
2
4
5
6
7
8
1
R3
R2
R1
Parallel Processing Production Line
7
The process model admits greater detail
Sequence/Volume of Demand
Operation/Process/
Machine
Transportation/
Facility Layout/
Material Handling
Inspection/
Quality Control
Delays/
Production Control/
System Design
Storage/
Inventory Control/
Production Control
6
3
212
14
R1 R2 R3
13
9
47
8
10
15
16
17
18
511
20
1
19
8
Numerical parameters describe components Operation
Transportation
Inspection
O1 P1
M1
O1 (operation time, loss, M1)+ +
Material
Handling
+
(time, distance, cost)
O1
I1
Quality Control (Standard Time, Proportion removed )
9
Operations Involving Waiting Delays
Storage
System Design
+ Production Control
(Mean Delay, Standard Deviation)
System Design
+ Inventory Control
(Safety Stock, Value, Turnover)
10
The models must describe multiple products
Product A Product B Product C
VA
2
1
R2
7
3
8
A
5
4
R1
6
2
1
R3
4
3
VB
4
2
18
10
12
R1 R2 R3
9
6
35
711
13
A
A
VC
11
Our Goal: Build models to answer significant
design questions Use operations research tools to
provide assistance to decision makers
12
For Homework Table manufacture problem Identify some simple process
Construct an operations process chart Give estimates of the important parameters
for each operation defined
