Lake Superior Operation
December 12, 2011
editted April 05, 2012
reports on Superior Optimization work
(Optimized nat64d)
Prepared by M. Asadzadeh & B. Tolson
1
Purpose
• Report Nat64D optimization problem and
results
• Report finalized problem settings that are
available and archived
• Report final results of Nat64D optimization
2
Nat64D: Optimized for Historical NBS
Including Shore Protection
• This plan is designed in EC and its 6 parameters are
optimized:
– Optimized for HI
– Benefit Includes Shore Protection (SP) + Navigation + Hydropower
Generation
– Simulated 6 extreme NBS to make sure CGLRRM does not crash
– Solved single objective optimization problem:
• Objective: Maximize benefit
• Constraints: (note that pre-emption is enabled)
1- Respect the 6 criteria for historical NBS (no need to run excel)
2- Do not crash on 6 extreme scenarios
– Other SVM criteria NOT explicitly included in the optimization
formulation
3
Nat64D: Optimization decision variables &
ranges
• The optimization used the following boundaries on the decision
variables of Nat64D:
– [-1, 1], [-5, 5], [-0.5, 0.5], [1, 17], [0, 1], [182.7, 183.2]
• The optimized Nat64D is not significantly improved over the unoptimized Nat64D.
• Note that an expanded set of DV ranges shown below led to
significantly better optimization result
– [-0.3, 1], [-5, 5], [-0.5, 0.5], [1, 17], [-0.3, 0.3], [181.5, 183.5]
• However, these DV ranges are not consistent with Dr. Yin Fan’s logic
defining nat64d …
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Nat 64D Optimized
nat64d
optimized
Live
nat64D HI
1. Maintain Superior
1. Maintain
between
Superior
183.86
between
and 182.76
183.86 and 182.76 183.86
183.86
Pass
2. Minimize disproportionate
2. Minimize disproportionate
loss
loss
182.76
182.76
Coastal (∆ SP Costs)
Coastal (∆ SP Costs)
Threshold: 8%.Threshold: 18386
8%.
18386
Pass
Boating slips Boating slips
18276
18276
Pass
3. Reduce Net Shore
3. Reduce
Protection
Net Shore
Costs
Protection
(avg. annual
Costs
reduction
(avg. annual
)
reduction )
$0.06
4. Are levels balanced?
4. Are levels balanced?
Pass
5. Compress MH
5. levels
Compress MH levels
Pass
6. Increase Navigation
6. Increase
Benefits
Navigation Benefits
$0.16
7. Increase Hydropower
7. Increase
Benefits
Hydropower
at the Benefits
Soo
at the Soo
$0.56
8. Minimize environmental
8. Minimize environmental
impacts
impacts
Pass
Number of fewer
Number
Zone CofPI-Years
fewer Zone C PI-Years
1
Number of greater
Number
ZoneofC greater
PI-YearsZone C PI-Years
0
SUP-01
SUP-01
0.39
SUP-02
SUP-02
0.39
nat64d unoptimized
Live
77A
UWHI
HI
nat64D HI
Pass
Pass
Pass
Pass
Pass
Pass
Pass
$0.00
$0.05
Pass
Pass
Pass
Pass
$0.00
$0.94
$0.00
$0.31
Pass
Pass
03
01
0.36
0.36
0.34
0.37
Pass
Pass
$0.15
Pass
Pass
$0.05
$0.48
Pass
1
0
0.39
0.40
Note:
• the optimized nat64d can simulate the 6 extreme NBS scenarios successfully
• Full SVM evaluation of this optimized solution is not generated by Tolson et al.
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