An index to measure and monitor a system-of-systems' performance risk
Defense AR Journal, Dec, 2005 by Paul R. Garvey, Chien-Ching Cho
TABLE 1. HYPOTHETICAL CATEGORY A & CATEGORY B TPM DATA SET
Category A TPM Raw Value
Vthres,A V(ti,A)
Measurement Date t1
Average Processing Delay (msecs) 1.000 3.000
Mean Time to Repair (mins) 10.000 50.000
Payload Weight (lbs) 950.000 2112.000
Time for Engagement Coordination (sec) 0.010 0.100
TRI*(t1,A) 0.729 Eqt 9
Measurement Date t2
Average Processing Delay (msecs) 1.000 2.860
Mean Time to Repair (mins) 10.000 43.000
Payload Weight (lbs) 950.000 1764.000
Time for Engagement Coordination (sec) 0.010 0.040
TRI*(t2,A) 0.657 Eqt 9
Measurement Date t3
Average Processing Delay (msecs) 1.000 1.180
Mean Time to Repair (mins) 10.000 43.000
Payload Weight (lbs) 950.000 1328.000
Time for Engagement Coordination (sec) 0.010 0.032
TRI*(t3,A) 0.473 Eqt 9
Measurement Date t4
Average Processing Delay (msecs) 1.000 1.090
Mean Time to Repair (mins) 10.000 27.000
Payload Weight (lbs) 950.000 1189.000
Time for Engagement Coordination (sec) 0.010 0.020
TRI*(t4,A) 0.353 Eqt 9
Measurement Date t5
Average Processing Delay (msecs) 1.000 1.030
Mean Time to Repair (mins) 10.000 12.000
Payload Weight (lbs) 950.000 1008.000
Time for Engagement Coordination (sec) 0.010 0.010
TRI*(t5,A) 0.063 Eqt 9
Measurement Date t6
Average Processing Delay (msecs) 1.000 0.980
Mean Time to Repair (mins) 10.000 9.000
Payload Weight (lbs) 950.000 948.000
Time for Engagement Coordination (sec) 0.010 0.010
TrI*(t6,A) 0 Eqt 9
Category B TPM Raw Value
Vthres,B V(ti,B)
Measurement Date t1
Interceptors Available (no. of units) 150.000 67.000
Mean Time Between Failure (hours) 500.000 100.000
Single Shot Success Probability (%) 0.950 0.870
Damage Assessment Accuracy (%) 0.995 0.600
Software Coding (no. of modules coded) 763.000 578.000
TRI(t2,B) 0.586 Eqt 10
Measurement Date t2
Interceptors Available (no. of units) 150.000 128.000
Mean Time Between Failure (hours) 500.000 189.000
Single Shot Success Probability (%) 0.950 0.890
Damage Assessment Accuracy (%) 0.995 0.878
Software Coding (no. of modules coded) 763.000 643.000
TRI(t2,B) 0.399 Eqt 10
Measurement Date t3
Interceptors Available (no. of units) 150.000 134.000
Mean Time Between Failure (hours) 500.000 223.000
Single Shot Success Probability (%) 0.950 0.910
Damage Assessment Accuracy (%) 0.995 0.940
Software Coding (no. of modules coded) 763.000 687.000
TRI(t3,B) 0.342 Eqt 10
Measurement Date t4
Interceptors Available (no. of units) 150.000 139.000
Mean Time Between Failure (hours) 500.000 348.000
Single Shot Success Probability (%) 0.950 0.934
Damage Assessment Accuracy (%) 0.995 0.945
Software Coding (no. of modules coded) 763.000 698.000
TRI(t4,B) 0.194 Eqt 10
Measurement Date t5
Interceptors Available (no. of units) 150.000 142.000
Mean Time Between Failure (hours) 500.000 379.000
Single Shot Success Probability (%) 0.950 0.940
Damage Assessment Accuracy (%) 0.995 0.999
Software Coding (no. of modules coded) 763.000 723.000
TRI(t5,B) 0.147 Eqt 10
Measurement Date t6
Interceptors Available (no. of units) 150.000 159.000
Mean Time Between Failure (hours) 500.000 521.000
Single Shot Success Probability (%) 0.950 0.990
Damage Assessment Accuracy (%) 0.995 1.000
Software Coding (no. of modules coded) 763.000 763.000
TRI(t6,B) 0 Eqt 10
Category A TPM Eqt 1 Eqt 5
v(ti,A) u(ti,A) wt
Measurement Date t1
Average Processing Delay (msecs) 3.000 0.333 1.000
Mean Time to Repair (mins) 5.000 0.200 1.000
Payload Weight (lbs) 2.223 0.450 1.000
Time for Engagement Coordination (sec) 10.000 0.100 1.000
TRI*(t1,A)
Measurement Date t2
Average Processing Delay (msecs) 2.860 0.350 1.000
Mean Time to Repair (mins) 4.300 0.233 1.000
Payload Weight (lbs) 1.857 0.539 1.000
Time for Engagement Coordination (sec) 4.000 0.250 1.000
TRI*(t2,A)
Measurement Date t3
Average Processing Delay (msecs) 1.180 0.847 1.000
Mean Time to Repair (mins) 4.300 0.233 1.000
Payload Weight (lbs) 1.398 0.715 1.000
Time for Engagement Coordination (sec) 3.200 0.313 1.000
TRI*(t3,A)
Measurement Date t4
Average Processing Delay (msecs) 1.090 0.917 1.000
Mean Time to Repair (mins) 2.700 0.370 1.000
Payload Weight (lbs) 1.252 0.799 1.000
Time for Engagement Coordination (sec) 2.000 0.500 1.000
TRI*(t4,A)
Measurement Date t5
Average Processing Delay (msecs) 1.030 0.971 1.000
Mean Time to Repair (mins) 1.200 0.833 1.000
Payload Weight (lbs) 1.061 0.942 1.000
Time for Engagement Coordination (sec) 1.000 1.000 1.000
TRI*(t5,A)
Measurement Date t6
Average Processing Delay (msecs) 1.000 1.000 1.000
Mean Time to Repair (mins) 1.000 1.000 1.000
Payload Weight (lbs) 1.000 1.000 1.000
Time for Engagement Coordination (sec) 1.000 1.000 1.000
TrI*(t6,A)
Category B TPM Eqt 2
v(ti,B) wt
Measurement Date t1
Interceptors Available (no. of units) 0.447 1.000
Mean Time Between Failure (hours) 0.200 5.000
Single Shot Success Probability (%) 0.916 1.000
Damage Assessment Accuracy (%) 0.603 1.000
Software Coding (no. of modules coded) 0.758 1.000
TRI(t2,B)
Measurement Date t2
Interceptors Available (no. of units) 0.853 1.000
Mean Time Between Failure (hours) 0.378 5.000
Single Shot Success Probability (%) 0.937 1.000
Damage Assessment Accuracy (%) 0.882 1.000
Software Coding (no. of modules coded) 0.843 1.000
TRI(t2,B)
Measurement Date t3
Interceptors Available (no. of units) 0.893 1.000
Mean Time Between Failure (hours) 0.446 5.000
Single Shot Success Probability (%) 0.958 1.000
Damage Assessment Accuracy (%) 0.945 1.000
Software Coding (no. of modules coded) 0.900 1.000
TRI(t3,B)
Measurement Date t4
Interceptors Available (no. of units) 0.927 1.000
Mean Time Between Failure (hours) 0.696 5.000
Single Shot Success Probability (%) 0.983 1.000
Damage Assessment Accuracy (%) 0.950 1.000
Software Coding (no. of modules coded) 0.915 1.000
TRI(t4,B)
Measurement Date t5
Interceptors Available (no. of units) 0.947 1.000
Mean Time Between Failure (hours) 0.758 5.000
Single Shot Success Probability (%) 0.989 1.000
Damage Assessment Accuracy (%) 1.000 1.000
Software Coding (no. of modules coded) 0.948 1.000
TRI(t5,B)
Measurement Date t6
Interceptors Available (no. of units) 1.000 1.000
Mean Time Between Failure (hours) 1.000 5.000
Single Shot Success Probability (%) 1.000 1.000
Damage Assessment Accuracy (%) 1.000 1.000
Software Coding (no. of modules coded) 1.000 1.000
TRI(t6,B)
TABLE 2. TPM RISK INDEX SUMMARIES
Measurement TPM Risk Index TPM Risk Index Overall TPM Risk
Date for Category A for Category B Index
TPMs TPMs
[TRI*.sub.ti, A] [TRI*.sub.ti, B] [TRI*.sub.ti, AI]
Eqt 9 Eqt 10 Eqt 11
t1 0.729 0.586 0.63
t2 0.657 0.399 0.478
t3 0.473 0.342 0.382
t4 0.353 0.194 0.243
t5 0.063 0.147 0.121
t6 0 0 0
COPYRIGHT 2005 Defense Acquisition University Press
COPYRIGHT 2006 Gale Group
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