Discrete-Event System Simulation Project
Complex Manufacturing System
Cheryl Yale
Simulation and Modeling Analysis
12/7/99
1
Introduction
The manufacture of a propeller to engine shaft adapter is a complicated process involving
as many as twenty operations in fifteen different machines. The simulation described in
this paper is an analysis of the experimental manufacturing technique used to develop the
first three propeller adapters. With the data accumulated here, the technique can be
adjusted and refined through simulation before any further manufacturing is done. The
end result will be a fine tuned, quicker and cheaper process.
Problem Formulation
Data will be obtained on a limited basis from the experimental manufacturing of the first
three adapters. This will give an average machine time for each step of the process.
Given this data, the current manufacturing process will be modeled. The objective is to
model the known process and verify the simulation with experimental data.
Given the verified known process, individual changes can be made and the results tallied.
This will show the options available to ease the manufacturing process.
Model Conceptualization
Assumptions:
1. The model will be representative of the actual manufacturing facility. There will be
the exact numbers of machines in the model as there are on the floor.
2. The number of machinist will be the number currently assigned to the propeller
adapter line.
3. Each change in machine will be modeled as one process in ProModel. (For
Example: if the Matsuura does two steps before the adapter is taken out, the
simulation will model it as only one step)
4. The machines are dedicated to the adapter line (No downtime has been considered).
5. If an operation takes place outside this manufacturing floor it will not be in the model
(Vendor operations are not modeled).
6. The end result will be an accurate manufacturing time per adapter and a better
understanding of the potential cost savings in the process.
Data Collection
Since this is a new line for this particular manufacturing facility, there is limited data to
use in collection. There is machine run time data for the first three adapters which is
shown in Table 1 - Average Experimental Machine Times below.
2
There is a standing order for a total of 250 adapters over the next 15 years at this facility.
There is no predicted order rate, so 3 adapters every 500 hours was chosen as an estimate
of the arrival times.
Table 1 - Average Experimental Machine Times
Machine
Bench
VTL
VTL
BROACH
VTL
VTL
Matsuura
Gun drill
Drill Press
Matssura
Gear shaper
Deburr booth
MPI
Shot peen
(Eng. Abrasives)
Shot peen
(Eng. Abrasives)
Deburr booth
VTL
Warner Swasey
Warner Swasey
Matsuura
M.P.I.
Vendor
Vendor
Bench
Bench
Bench
Bench
Operation Description
Est.
Time(hr)
Draw material
0
Rough turn flange end and mark
1.3
Rough turn shank end
1.5
Broach I.D. spline
0.7
Finish turn shaft end
1.5
Finish turn flange end
1
Machine flange holes
1.3
Drill oil holes (5)
1.6
Drill flange holes (2)
0.4
Machine shank holes
1.3
Shape O.D. spline
0.4
Deburr
0.7
M.P.I
0.5
Shot peen flange end
0.8
Shot peen shaft end
Deburr and polish
Diamond burnish 15 deg.
Coneseat
Grind pilot dia. (flange end)
Grind shaft O.D.
Machine flange holes and
burnish
M.P.I.
Tin Zinc plate(or deviation to
cadmium plate)
Paint oil holes
Draw materials
Identification mark and assemble
Assemble and bond
Final inspect per B/P and
PMP3050
Package and Preserve
1
0.3
0.5
0.5
0.7
0.5
0.5
0
0
0
0.4
0.7
1
0.2
19.8
3
Bench
Final Inspect
MPI
Bench
Deburr Booth
VTL
Warner
Swasey
Gear Shaper
Shot Peen
Drill Press
Broach
Matsuura
Gun Drill
Model Translation
The model was made using ProModel version 4.20. Fourteen machines were used as
locations. The machine layout and path network is shown below in Figure 1. The printed
file is shown in Appendix A.
Since the adapter returns more than once to several machines with different times and
different processing, the adapter was divided into four separate entities. These were
adapter_rough, adapter_semi, adapter_semi2, and adapter_finish. Each time it returns to
a previously used machine the name changes. This bit of confusion caused problems in
the overall processing, since it was difficult to tell what had processing and what still
needed processing.
The distributions were chosen to be normally distributed. This was used since there is
such limited data available at this time. This is an easy parameter to change should more
data become available, or the manufacturing engineers have a better understanding of the
distributions then were given at this time.
4
Verification
The verification of the program was a major step in the programming of the simulation
due to the number of machines and paths within the analysis. The trace tool was used
within the run environment to determine the mistakes and correct the errors.
The major error found in the verification process was a hold up at the matsuura. This
seemed to cause a very long list of blocked machines, such that it would take 100-250
hours to manufacture one set of adapters. Knowing that this was obviously incorrect, I
used the process of elimination to determine the error. One machine at a time I changed
the capacity to almost infinite. In the end it turned out I had forgotten the processing of a
finished_adapter at the VTL, although the semi_finished, had processing. This blocked
the entire line starting at the matsuura.
Once this major error in processing was discovered, the model runs correctly. It was
shown to run according to the process table shown in Table 1.
Validation
The simulation has been validated. The simulation was run for a warm-up period of 500
hours, with the simulation running 100000. This was done for 15 replications. The
average time in the system for the Adapter for these runs was 20.025 with a standard
deviation of .049. This agrees very well with the input total above of 19.8 hours.
Increasing the run-time to 250000 hours changes the average time in the system very
little (20.027) but decreases the standard deviation to .023. The number of replication
was increased to 25 and again the average time in the system of the adapter was changed
very little (20.029) but this time the standard deviation was also changed very little
(.047).
This simulation was done under the assumption that the machines were meant entirely for
the adapter, which is untrue. Since the machines show very little utilization, it would be
prudent to add in machine cycles belonging to other product lines. Or model them using
machine downtimes. This would show the actual queuing of parts at each machine,
which may cause significant delays in the adapter machining time.
Production Runs and Analysis
The model was run with multiple replications and with several varieties of run hours.
Since the average time in system variable was changed very little by the increase the run
length to 250000, the optimum time for running on this computer was decided to be
100000. The number of replications seems to be steady at fifteen.
5
The results shown in Appendix B are the results of the 25 replications of runtimes of
100000. The results are the expected results, including average times of each individual
step.
The production run uses two matsuura machines. The first runs used only one matsuura,
but since this machine involves 20 percent of the overall manufacturing time this blocked
the rest of the production. The other option was the addition of a queue, but the queue
did not solve the problem, just gave it a place to wait.
The addition of the queue on the deburr booth solved the problem that location was
experiencing. The deburr booth was also blocking other machines, since this was only
5% of the total machining time, I realized this shouldn't be a problem. The addition of
the queue added a place for the next adapter to wait while the process was completed.
With these changes, the output desired is the time of manufacture for the finished adapter.
Using twenty-five replications of 100,000 hours the time in the system is 22.05 hours
with a standard deviation of .057 hours.
The output is very dependent on the input. For instance, changing the arrival rate could
change the output. If the arrival rate were changed to an greater amount this would
greatly influence the results. Changing the arrival rate to 3 every 100 hours (from 3
every 500) causes failures due to blockages. Although for the adapters that make it
through the system, the average time is 22.1 with a standard deviation of .42.
To check the validation of using a normal distribution I chose the matsuura and used a
triangular distribution with the same overall number spread. This changed the results
only slightly. With an average system time of 22.0 and a standard deviation of .3.
Conclusions
The adapter-manufacturing model has been built, and validated. It is now ready as a
baseline to begin modeling different processes. Changes could be made to the system to
determine the effect of distances between machine, run times, multiple machines,
multiple capacities or number of machinists.
1
Appendix A
********************************************************************************
*
*
*
Formatted Listing of Model:
*
*
C:\ProMod4\models\proj.mod
*
*
*
********************************************************************************
Time Units:
Distance Units:
Hours
Feet
********************************************************************************
*
Locations
*
********************************************************************************
Name
----------------Material_draw
VTL
Broach
Matsuura
Matsuura.1
Matsuura.2
Gun_Drill
Drill_Press
Gear_Shaper
Deburr_Boothe
Shot_Peen
MPI
Warner_sawseg
Bench
Inspect
Material_Draw_que
deburr_queue
Appendix A
Cap
---1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
100
100E
Units
----1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
Stats
----------Time Series
Time Series
Time Series
Time Series
Time Series
Time Series
Time Series
Time Series
Time Series
Time Series
Time Series
Time Series
Time Series
Time Series
Time Series
Time Series
Time Series
Rules
Cost
--------------- -----------Oldest, ,
Oldest, ,
Oldest, , First
Oldest, , First
Oldest, ,
Oldest, ,
Oldest, ,
Oldest, ,
Oldest, ,
Oldest, ,
Oldest, ,
Oldest, ,
Oldest, ,
Oldest, ,
Oldest, ,
Oldest, ,
Oldest, ,
2
********************************************************************************
*
Entities
*
********************************************************************************
Name
-------------Adapter_Rough
Adapter_semi
Adapter_semi2
adapter_finish
Speed (fpm)
-----------0
0
0
0
Stats
Cost
----------- -----------Time Series
Time Series
Time Series
Time Series
********************************************************************************
*
Path Networks
*
********************************************************************************
Name
Type
T/S
From
-------- ----------- ---------------- -------Net1
Passing
Speed & Distance N1
N2
N2
N5
N6
N7
N8
N10
N12
N9
N10
N2
N11
N5
N12
N13
Appendix A
To
-------N2
N3
N5
N6
N7
N8
N10
N12
N9
N10
N2
N11
N5
N12
N13
N14
BI
---Bi
Bi
Bi
Bi
Bi
Bi
Bi
Bi
Bi
Bi
Bi
Bi
Bi
Bi
Bi
Bi
Dist/Time
---------38.00
28.28
44.46
34.81
70.17
28.47
27.36
23.21
91.83
60.14
46.40
118.19
105.39
65.67
34.15
26.00
Speed Factor
-----------1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
********************************************************************************
*
Interfaces
*
********************************************************************************
Net
Node
---------- ---------Net1
N1
N2
N3
N5
N6
N7
N8
N10
N12
N9
N11
N13
N14
Location
------------Material_draw
VTL
Broach
Matsuura
Gun_Drill
Drill_Press
Gear_Shaper
Deburr_Boothe
MPI
Shot_Peen
Warner_sawseg
Bench
Inspect
********************************************************************************
*
Resources
*
********************************************************************************
Res
Name
Units Stats
Search
--------- ----- -------- -----Machinist 3
By Unit None
Ent
Search Path
Motion
Cost
------ ---------- -------------- -----------Oldest
Empty: 150 fpm
Full: 150 fpm
********************************************************************************
*
Processing
*
********************************************************************************
Process
Entity
Appendix A
Location
Operation
Routing
Blk
Output
Destination
Rule
Move Logic
4
-------------Adapter_Rough
Adapter_Rough
machinist
Adapter_Rough
machinist
Adapter_Rough
machinist
Adapter_semi
----------------- -----------------Material_Draw_que
Material_draw
VTL
Broach
VTL
---- -------------- ------------- ------1
Adapter_Rough Material_draw FIRST 1
1
Adapter_Rough VTL
FIRST 1
-----------move with
free machinist
wait n(1.3,.2)
get machinist
wait .25
free machinist
wait n(1.5,.2)
1
Adapter_Rough
Broach
FIRST 1
move with
wait n(.7,.25)
free machinist
1
Adapter_semi
VTL
FIRST 1
move with
1
Adapter_semi
Matsuura
FIRST 1
move with
free machinist
wait n(1.3, .3)
1
Adapter_semi
Gun_Drill
FIRST 1
move with
wait n(1.6,.25)
free machinist
1
Adapter_semi
Drill_Press
FIRST 1
move with
wait n(.4,.1)
free machinist
1
Adapter_semi2
Matsuura
FIRST 1
move with
free machinist
wait n(1.3,.25)
1
Adapter_semi2
Gear_Shaper
FIRST 1
move with
free machinist
wait n(.4,.05)
1
Adapter_semi2
deburr_queue
FIRST 1
move with
1
ALL
Deburr_Boothe FIRST 1
free machinist
wait n(1.5, .25)
get machinist
wait .25
free machinist
wait n(1,.25)
machinist
Adapter_semi
machinist
Adapter_semi
machinist
Adapter_semi
machinist
Adapter_semi2
machinist
Adapter_semi2
machinist
ALL
Adapter_semi2
Appendix A
Matsuura
Gun_Drill
Drill_Press
Matsuura
Gear_Shaper
deburr_queue
Deburr_Boothe
free machinist
free machinist
5
machinist
Adapter_semi2
machinist
Adapter_semi2
MPI
Shot_Peen
machinist
adapter_finish Deburr_Boothe
machinist
adapter_finish VTL
machinist
adapter_finish Warner_sawseg
machinist
adapter_finish Matsuura
machinist
adapter_finish MPI
machinist
adapter_finish Bench
machinist
adapter_finish Inspect
wait n(.7,.2)
1
Adapter_semi2
MPI
FIRST 1
move with
wait n(.5,.2)
free machinist
1
Adapter_semi2
Shot_Peen
FIRST 1
move with
free machinist
wait n(.8,.2)
get machinist
wait .2
free machinist
wait n(1,.2)
1
adapter_finish deburr_queue
FIRST 1
move with
wait n(.3,.1)
free machinist
1
adapter_finish VTL
FIRST 1
move with
free machinist
wait n(.5,.15)
1
adapter_finish Warner_sawseg FIRST 1
move with
free machinist
wait n(.5,.05)
get machinist
wait .1
free machinist
wait n(.7,.1)
1
adapter_finish Matsuura
FIRST 1
move with
free machinist
wait n(.5, .1)
1
adapter_finish MPI
FIRST 1
move with
wait n(.5,.1)
free machinist
1
adapter_finish Bench
FIRST 1
move with
wait n(1.2,.8)
1
adapter_finish Inspect
FIRST 1
move with
wait n(1,.2)
free machinist
1
adapter_finish EXIT
FIRST 1
********************************************************************************
*
Arrivals
*
********************************************************************************
Appendix A
6
Entity
Location
Qty each
First Time Occurrences Frequency
Logic
------------- ----------------- ---------- ---------- ----------- ----------- -----------Adapter_Rough Material_Draw_que 3
inf
n(500, 125)
Appendix A
1
Appendix B
-------------------------------------------------------------------------------General Report
Output from C:\ProMod4\models\proj.mod [Adapter Manufacturing Project]
Date: Nov/29/1999
Time: 08:39:26 PM
-------------------------------------------------------------------------------Scenario
: Normal Run
Replication
: Average
Period
: Final Report (500 hr to 100500 hr Elapsed: 100000 hr)
Warmup Time
: 500 hr (Std. Dev. 0 sec)
Simulation Time : 100500 hr
-------------------------------------------------------------------------------LOCATIONS
Location
Name
----------------Material draw
Material draw
VTL
VTL
Broach
Broach
Matsuura.1
Matsuura.1
Matsuura.2
Matsuura.2
Matsuura
Matsuura
Gun Drill
Gun Drill
Drill Press
Drill Press
Gear Shaper
Gear Shaper
Deburr Boothe
Appendix B
Scheduled
Hours
--------100000
0
100000
0
100000
0
100000
0
100000
0
200000
0
100000
0
100000
0
100000
0
100000
Capacity
-------1
0
3
0
1
0
1
0
1
0
2
0
1
0
1
0
1
0
1
Total
Entries
------599.52
9.82395
1798.8
29.3428
599.52
9.82395
1384.08
23.2933
415.08
12.3926
1799.16
29.1414
599.72
9.68039
599.72
9.68039
599.76
9.71802
1199.52
Average
Hours
Per Entry
--------0.000000
0.000000
2.276678
0.007418
0.701052
0.009405
1.152240
0.007850
1.824243
0.029467
1.307175
0.009451
1.601693
0.009640
0.402881
0.004600
0.400072
0.001901
0.509848
Average
Contents
----------0
0
0.0409541
0.000752585
0.00420327
0.000103546
0.0159477
0.00027526
0.00757038
0.000198696
0.011759
0.000205522
0.00960574
0.000169726
0.00241602
4.03533e-05
0.00239949
4.17217e-05
0.00611573
Maximum
Contents
-------1
0
3
0
1
0
1
0
1
0
2
0
1
0
1
0
1
0
1
Current
Contents
-------0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
% Util
-----0.00
0.00
1.37
0.03
0.42
0.01
1.59
0.03
0.76
0.02
1.18
0.02
0.96
0.02
0.24
0.00
0.24
0.00
0.61
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
2
Deburr Boothe
Shot Peen
Shot Peen
MPI
MPI
Warner sawseg
Warner sawseg
Bench
Bench
Inspect
Inspect
Material Draw que
Material Draw que
deburr queue
deburr queue
0
100000
0
100000
0
100000
0
100000
0
100000
0
100000
0
100000
0
0
1
0
1
0
1
0
1
0
1
0
100
0
100
0
19.436
599.76
9.71802
1199.52
19.436
599.76
9.71802
599.8
9.72111
599.8
9.72111
599.52
9.82395
1199.52
19.436
0.004990
1.997765
0.013543
0.761315
0.013468
1.301282
0.006165
1.279090
0.025427
0.997633
0.007525
0.000000
0.000000
0.036022
0.002962
0.000116355
0.0119814
0.00018238
0.00913273
0.000243101
0.00780444
0.000123516
0.00767184
0.000192198
0.00598382
0.000108314
0
0
0.000432168
3.74758e-05
0
1
0
1
0
1
0
1
0
1
0
1
0
1.92
0.276887
LOCATION STATES BY PERCENTAGE (Multiple Capacity)
Location
Name
----------------VTL
VTL
Material Draw que
Material Draw que
deburr queue
deburr queue
Scheduled
Hours
--------100000
0
100000
0
100000
0
%
Empty
-----98.12
0.03
100.00
0.00
99.96
0.00
%
Partially
Occupied
--------1.05
0.02
0.00
0.00
0.04
0.00
%
Full
---0.83
0.02
0.00
0.00
0.00
0.00
|
|
|
|
|
|
|
|
|
|
%
Down
---0.00
0.00
0.00
0.00
0.00
0.00
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
LOCATION STATES BY PERCENTAGE (Single Capacity/Tanks)
Location
Name
------------Material draw
Material draw
Broach
Broach
Matsuura.1
Appendix B
Scheduled
Hours
--------100000
0
100000
0
100000
%
Operation
--------0.00
0.00
0.42
0.01
1.32
%
Setup
----0.00
0.00
0.00
0.00
0.00
%
Idle
-----100.00
0.00
99.58
0.01
98.40
%
Waiting
------0.00
0.00
0.00
0.00
0.00
%
Blocked
------0.00
0.00
0.00
0.00
0.28
%
Down
---0.00
0.00
0.00
0.00
0.00
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.01
1.20
0.02
0.91
0.02
0.78
0.01
0.77
0.02
0.60
0.01
0.00
0.00
0.00
0.00
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
3
Matsuura.1
Matsuura.2
Matsuura.2
Matsuura
Matsuura
Gun Drill
Gun Drill
Drill Press
Drill Press
Gear Shaper
Gear Shaper
Deburr Boothe
Deburr Boothe
Shot Peen
Shot Peen
MPI
MPI
Warner sawseg
Warner sawseg
Bench
Bench
Inspect
Inspect
0
100000
0
200000
0
100000
0
100000
0
100000
0
100000
0
100000
0
100000
0
100000
0
100000
0
100000
0
0.02
0.54
0.02
0.93
0.01
0.96
0.02
0.24
0.00
0.24
0.00
0.60
0.01
1.20
0.02
0.60
0.01
0.78
0.01
0.74
0.02
0.60
0.01
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.03
99.24
0.02
98.82
0.02
99.04
0.02
99.76
0.00
99.76
0.00
99.39
0.01
98.80
0.02
99.08
0.02
99.22
0.01
99.23
0.02
99.40
0.01
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.01
0.22
0.01
0.25
0.01
0.00
0.00
0.00
0.00
0.00
0.00
0.01
0.00
0.00
0.00
0.31
0.02
0.00
0.00
0.03
0.01
0.00
0.00
RESOURCES
Resource
Name
----------Machinist.1
Machinist.1
Machinist.2
Machinist.2
Machinist.3
Machinist.3
Machinist
Machinist
Appendix B
Units
----1
0
1
0
1
0
3
0
Scheduled
Hours
--------100000
0
100000
0
100000
0
300000
0
Number
Of Times
Used
-------4236.8
164.187
4190.48
141.008
4166.16
148.43
12593.4
204.459
Average
Hours
Per
Usage
-------0.320308
0.010741
0.323792
0.009322
0.325903
0.011584
0.322994
0.001557
% Util
-----1.36
0.02
1.36
0.02
1.36
0.02
1.36
0.02
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
4
RESOURCE STATES BY PERCENTAGE
Resource
Name
----------Machinist.1
Machinist.1
Machinist.2
Machinist.2
Machinist.3
Machinist.3
Machinist
Machinist
Scheduled
Hours
--------100000
0
100000
0
100000
0
300000
0
%
In Use
-----1.36
0.02
1.36
0.02
1.36
0.02
1.36
0.02
%
Idle
----98.64
0.02
98.64
0.02
98.64
0.02
98.64
0.02
%
Down
---0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
FAILED ARRIVALS
Entity
Name
------------Adapter Rough
Adapter Rough
Location
Name
----------------Material Draw que
Material Draw que
Total
Failed
-----0
0
(Average)
(Std. Dev.)
ENTITY ACTIVITY
Entity
Name
-------------Adapter Rough
Adapter Rough
Adapter semi
Adapter semi
Adapter semi2
Adapter semi2
adapter finish
adapter finish
Appendix B
Total
Exits
------0
0
0
0
0
0
599.8
9.72111
Current
Quantity
In System
--------0
0
0
0
0
0
0
0
Average
Hours
In
System
--------22.048766
0.057731
Average
Hours
In Move
Logic
-------0.000000
0.000000
Average
Hours
Wait For
Res, etc.
--------0.000000
0.000000
Average
Hours
In
Operation
--------20.029012
0.046845
Average
Hours
Blocked
-------2.019754
0.038558
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
5
ENTITY STATES BY PERCENTAGE
Entity
Name
-------------Adapter Rough
Adapter Rough
Adapter semi
Adapter semi
Adapter semi2
Adapter semi2
adapter finish
adapter finish
Appendix B
%
In Move
Logic
------0.00
0.00
%
Wait For
Res, etc.
--------0.00
0.00
%
In Operation
-----------90.84
0.16
%
Blocked
------9.16
0.16
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)
(Average)
(Std. Dev.)