Tevatron Collider Monte CarloVersion 2.0 (for Run II)Elliott McCroryAugust 29, 2003
OutlineWhat am I doing?Random Number DistributionsAssumptionsCollider parametersRandomizationsHow to end a store?Optimizing weekly integrated luminosityFuture improvementsImproving Tevatron ReliabilityFaster stackingRun Coordinator Charts
What Am I Doing?Phenomenological (non-analytic) model of the Tevatron Collider ComplexBased on model of Run I, with Vinod, GPJ & others helpingMcGinniss ordered me to revive it now.Incorporate randomnessDowntimeFor the Tevatron, stacking and the PBar SourceVariations in all realistic parametersE.g., transmissions during a shot, lifetimes during collisions, uncertainty in exactly how many pbars we extract, etc. Search for the best criterion for intentionally ending storesBased on these realistic assumptions and randomizations
Current FeaturesV2: Represent Run II performance, today.Many algorithms for ending storesCan simulate 10,000 weeks quicklyIn about 23 seconds on my Linux PCRepresents todays performanceEasy to change to reflect tomorrows performanceLinux, C++Pretty good random number generator: drand48()
LimitationsThis is a phenomenological model!L (t) = K Np(t) Npbar(t) / (p (t) + pbar (t)) 2K = C KL H B / (2 *) C: Constant kludge factor, = 32.5Adjusted globally to give todays number for L (t).KL: Longitudinal factor, = 0.8H: Variable hourglass factor, 0.5 0.05B: Number of bunches, = 36. K = 2223 10%Downtime over 24 hours is not considered.Performance in the model does not improveJust random fluctuations around specified performance.
Unixs drand48(), My RandomLinearRandomLinear(0.0, 5.0)RandomLinear(2.0, 12.0)
RandomGaussian Distribution = 2.0 = 5.0100,000 samplesSKIP
RandomGaussianRandomGaussian( = 0, = 1)RandomGaussian(2.0, 5.0)SKIP
RandomLikely(0, 5, 2) and (-2, 12, 8)Product of these two distributionsAlso (not shown) RandomBoolean
Collider Parameter AssumptionsStacking rate: 12*(1-S/300) [mA/hr]Stacking off:-0.001*S [mA/hr]Luminosity LifetimeI(p), I(pbar), (p) (pbar)Each grows by 7/sqrt(1+ (t+6)**2)Randomization Assumptions
Old Way
Parameters and Randomizations in "simulate_week"
ParameterDescriptionUnitsClassRandomizationRange
K Beta*Variation in beta-star1LuminosityLinear0.8 to 1.0
t0Initial Luminosity Lifetime multiplier1LuminosityLinear0.95 to 1.05
LumUpTimeProbability that store is lost1/hourLuminosityboolean1%
extraRecovery time from lost storehoursLuminosityLinear1 to 6
extraWorse recovery time from lost storehoursLuminosityLinear6 to 24
init_efficInitial Pbar efficiency (?)1ShotLinear0.82 to 1.0
xmis[0]Initial extraction from source1ShotLinear0.975 to 1
xmis[1]Transfer to MI1ShotLinear0.975 to 1
xmis[2]Coalescing Efficiency1ShotLinear0.73 to 0.75
xmis[3]Acceleration in MI1ShotLinear0.975 to 1
xmis[4]Transfer to Tevatron1ShotLinear0.98 to 1
xmis[5]at 150 in Tevatron1ShotLinear0.98 to 1
xmis[6]Acceleration in Tevatron1ShotLinear0.98 to 1
xmis[7]To initial squeeze in Tevatron1ShotLinear0.98 to 1
xmis[8]To low beta in Tevatron1ShotLinear0.98 to 1
g[0]Emittance growth factor, initial extraction1ShotLinear0 to 0.05
g[1]Emit gwth, Transfer to MI1ShotLinear0 to 0.06
g[2]Emit gwth, during Coalescing1ShotLinear0 to 0.06
g[3]Emit gwth during acceleration in MI1ShotLinear0 to 0.06
g[4]Emit gwth, Transfer to Tevatron1ShotLinear0.02 to 0.12
g[5]Emit gwth at 150 in Tevatron1ShotLinear0.02 to 0.12
g[6]Emit gwth, Acceleration in Tevatron1ShotLinear0.25 to 0.35
g[7]Emit gwth, To initial squeeze in Tevatron1ShotLinear0 to 0.08
g[8]Emit gwth, To low beta in Tevatron1ShotLinear0 to 0.06
sDownStacking downtime now?1/hourStackboolean97%
sOfftimeHow long is stacking off?hoursStackLinear0 to 0.83
SOffTimeMoreMow much longer is stacking off?hoursStackLinear0.83 to 10
sDropTimeProbability of dropping a stack during stacking downtime1Stackboolean40%
reduceStkRtDo we reduce stacking rate?1Stackboolean40%
sReduceAmount to reduce stacking rate1StackLinear0 to 0.5
setupTimeJumpDo we increase the shot setup time this time?1mainboolean50%
setupTimeHow much do we increase shot setuphoursmainLinear0 to 4
stop_stackingStop stacking for a moment (?)1mainboolean50%
New Way
Parameters and Randomizations in "simulate_week"
First crack at this9/3/03 14:12
ParameterDescriptionUnitsClassRandomizationMinLikelyMax
K Beta*Variation in beta-star1LuminosityLikely0.80.991
t0Initial Luminosity Lifetime multiplier1LuminosityLikely0.911.05
LumUpTimeProbability that store is lost1/hourLuminosityBoolean1%
extraRecovery time from lost storehoursLuminosityLikely1224
extraWorse recovery time from lost storehours
init_efficInitial Pbar efficiency (?)1ShotLinear0.821
xmis[0]Initial extraction from source1ShotLinear0.9751
xmis[1]Transfer to MI1ShotLinear0.9751
xmis[2]Coalescing Efficiency1ShotLikely0.730.80.95
xmis[3]Acceleration in MI1ShotLinear0.9751
xmis[4]Transfer to Tevatron1ShotLinear0.981
xmis[5]at 150 in Tevatron1ShotLinear0.981
xmis[6]Acceleration in Tevatron1ShotLinear0.981
xmis[7]To initial squeeze in Tevatron1ShotLinear0.981
xmis[8]To low beta in Tevatron1ShotLinear0.981
g[0]Emittance growth factor, initial extraction1ShotLinear00.05
g[1]Emit gwth, Transfer to MI1ShotLinear00.06
g[2]Emit gwth, during Coalescing1ShotLinear00.06
g[3]Emit gwth during acceleration in MI1ShotLinear00.06
g[4]Emit gwth, Transfer to Tevatron1ShotLinear0.020.12
g[5]Emit gwth at 150 in Tevatron1ShotLinear0.020.12
g[6]Emit gwth, Acceleration in Tevatron1ShotLinear0.250.35
g[7]Emit gwth, To initial squeeze in Tevatron1ShotLinear00.08
g[8]Emit gwth, To low beta in Tevatron1ShotLinear00.06
sDownStacking downtime now?1/hourStackBoolean97%
sOfftimeHow long is stacking off?hoursStackLikely00.824
SOffTimeMoreMow much longer is stacking off?hours
sDropTimeProbability of dropping a stack during stacking downtime1StackBoolean40%
reduceStkRtDo we reduce stacking rate?1StackBoolean40%
sReduceAmount to reduce stacking rate1StackLikely00.040.05
setupTimeJumpDo we increase the shot setup time this time?1mainBoolean50%
setupTimeHow much do we increase shot setuphoursmainLikely014
stop_stackingStop stacking for a moment (?)1mainboolean50%
Parameter Assumptions
ProtonEmittance20
ProtonERange5
ProtonIntensity27
ProtonIRange5
PBarEmittance15
EmitVsStack0.02
PBarEmitRange3
MaxPBarEmit20
EmitGrowthRange0.05
ExtractPerStack0.0011
ExtractRange0.08
MinExtract0.3
MaxExtract0.7
TransFactorRange0.02
EfficRange0.05
EfficPerStack0.0003
bunches36
betastar35
energy980
kLong0.8
Parameters
ParameterDescriptionTypeSwitchDefaultUnits
file of stacksz vs init lumPlot Directive-1off
file of typical store dataPlot Directive-2off
plot of stack rate vs stack sizePlot Directive-3off
plot of coal effic vs stacksizePlot Directive-4off
lum vs timePlot Directive-5off
integ vs timePlot Directive-6off
stack vs time & rate vs sizePlot Directive-7off
figure_of_merit_vs_timePlot Directive-8off
overall pbar effic vs stacksizePlot Directive-9off
plot potential integ lum's vs timePlot Directive-Aoff
Basic Coalescing Efficiencydouble-C0.7
DZero_MR_off_at_beginningdouble-D0
min_figure_of_meritdouble-F5
glitching_stack_probabilityUsed twice: Turn off stacking for up to 10 hrs, and determine possiblility of dropping a stackdouble-G0.5
include column headers in output filesBoolean-H
shot_setup_timeDefault shot setup timedouble-I2hours
Lifetime_growth_factorAmount the lifetime grows per hour. There are adjustments in Luminosity that are dependent on luminosity now.double-L1Hr/hr
Maximum Store Lengthdouble-M24hours
Random_number_seedint-R
max_stackUsed in stack rate calculationdouble-S150E10
Target_stack_sizeUsed in several end-of-store decision algorithmsdouble-T150E10
uptime_for_storeProbability per hour that a store is lost by accidentdouble-U0.99
Lum_ratio_factor_targetUsed in one of the end-of-store decision algorithms: When the "potential" for luminosity in the stack exceeds (1/this) time luminosity now, then end the store.double-V2.71828
cut_flagWhich of 5 end-of-store algorithms to use, see "Decision Types" worksheetint-c1
delta_timedouble-d0.1hours
file_for_shot_parametersBasic parameters descibing shots, see "Basic Params" worksheetstring-fbasic-param-input
Initial StackInitial stack sizedouble-i0E10
k_betastar_constantCorrection to luminosity formula, taking into account betastar, hourglass, energy, etc. Makes the average initial luminosity equal to 40E30.double-k1.28
initial_lifetimedouble-l10hours
stack_rate_multiplier_for_DZerodouble-m0.5
number_of_weeksint-n1weeks
stack_rateZero-current stacking ratedouble-r4.5E10/hr
small_stack_sizeMinimum acceptable stacksize from which we can actually shootdouble-s80E10
uptime_for_stackingdouble-u0.97
verboseShow lots of extra crap when runningBoolean-v
lum_difference_targetUsed in decision #5double-w5E30
extra_shot_setup_time_potentialIf shot setup time is increased, how much worse can it get?double-x4hours
target_integrated_per_storeUsed in decisions 1, 2 and 3double-y600nb-1
minimum_acceptible_luminositydouble-z1E30
Decision Types
TypeDescription
1Vote
2OR
3Figure of Merit
4Luminosity potential ratio
5Luminosity potential difference
Basic Params
ParameterValue
ProtonEmittance12
ProtonERange5
ProtonIntensity25
ProtonIRange1
PBarEmittance9.3
EmitVsStack0.02
PBarEmitRange3
MaxPBarEmit16
EmitGrowthRange0.05
ExtractPerStack0.0011
ExtractRange0.08
MinExtract0.3
MaxExtract0.7
TransFactorRange0.02
EfficRange0.18
EfficPerStack0.0007
bunches6
kLong0.8
Energy900
betaStar35
Lifetime Growth
0.113043.25
timeGrowthGrowth 2LifetimeLifetime 2SimulatedHoursReal 1
000303043.25043.25473785
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18.835277777812.88626003
18.851944444412.82519627
18.868611111112.91126919
18.885277777812.91588402
18.901944444413.08214474
18.918611111113.02514839
18.935277777812.93502808
18.951944444413.00338078
18.968611111112.82611942
18.985277777812.74302864
19.001944444412.84940243
19.018611111112.58844852
19.035277777813.03172207
19.051944444412.82693768
19.068611111112.9210062
19.085277777812.88530827
19.101944444412.66778946
19.118611111112.84358883
19.135277777812.97083092
19.151944444412.87074375
19.168611111112.6012888
19.185277777812.73940086
19.201944444412.88330841
19.218611111112.68031693
19.235277777812.67644882
19.251944444412.83911705
19.268611111112.53409767
19.285277777812.87083435
19.301944444412.62736988
19.318611111112.86158848
19.335277777812.58549404
19.351944444412.70528793
19.368611111112.55032253
19.385277777811.77162457
Lifetime Growth
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Lifetime
Lifetime 2
Comparison Real and Sim
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Simulated
Real 1
RealLumData
TimeHoursReal 1Real 2Sim 1Sim 2Sim 3Sim 4Sim 5
296182043.25473785041.45302963041.746494043.513059049.852456038.305358040.725974
2962420.016666666743.701980590.016666666741.735969540.10000841.0093270.09998442.8846820.10000849.283770.09998437.8711240.10000840.102402
2963020.033333333343.499618530.033333333341.094245910.20001640.2950780.19999242.2719960.20001648.7270730.19999237.4467570.20001639.495356
2963620.0543.293674470.0540.943611150.339.6026870.341.6744230.348.1819680.337.0318750.338.904189
2964220.066666666743.362564090.066666666740.980278020.40000838.9311610.39998441.0914150.40000847.6480750.39998436.6261220.40000838.328285
2964820.083333333343.08206940.083333333340.459411620.50001638.2795650.49999240.5224480.50001647.1250330.49999236.229160.50001637.767062
2965420.143.22311020.140.889850620.637.6470240.639.9670270.646.6124970.635.8406680.637.219966
2966020.116666666742.577365880.116666666741.049716950.70000837.032710.69998439.4246770.70000846.1101350.69998435.4603440.70000836.686475
2966620.133333333342.726799010.133333333340.711528780.80001636.4358470.79999238.8949470.80001645.6176320.79999235.0879010.80001636.166087
2967230.150277777842.249309540.1540.503723140.935.8557020.938.3774060.945.1346870.934.7230660.935.65833
2967820.166666666741.980228420.166666666740.836257931.00000835.2915820.99998437.8716421.00000844.6610110.99998434.3655811.00000835.162752
2968420.183333333341.766063690.183333333340.531059271.10001634.7428341.09999237.3772631.10001644.1963281.09999234.0152011.10001634.678924
2969030.200277777841.890926360.240.213726041.234.208841.236.8938941.243.7403711.233.6716911.234.206436
2969620.216666666741.858150480.216666666740.188186651.30000833.6890161.29998436.4211741.30000843.2928871.29998433.334831.30000833.744899
2970230.233611111141.610229490.233333333340.374546051.40001633.1828071.39999235.9587621.40001642.8536321.39999233.0044051.40001633.293939
2970830.250277777841.701850890.2540.054100041.532.6896891.535.5063291.542.4223731.532.6802141.532.853202
2971430.266944444441.111717220.266666666739.85234071.60000832.2091631.59998435.0635591.60000841.9988831.59998432.3620641.60000832.422348
2972030.283611111140.996898650.283333333339.568637851.70001631.7407581.69999234.6301521.70001641.5829481.69999232.0497711.70001632.001053
2972630.300277777841.235221860.339.905300141.831.2840251.834.2058171.841.1743591.831.7431591.831.589006
2973230.316944444441.016952510.316666666739.762924191.90000830.8385361.89998433.790281.90000840.7729171.89998431.4420581.90000831.185912
2973830.333611111140.925075530.333333333339.542011262.00001630.4038861.99999233.3832722.00001640.378431.99999231.1463092.00001630.791486
2974430.350277777840.794528960.3539.321510312.129.9796882.132.984542.139.9907132.130.8557562.130.405456
2975030.366944444440.811763760.366666666739.224502562.20000829.5655752.19998432.5938372.20000839.6095882.19998430.5702522.20000830.027561
2975630.383611111140.263629910.383333333339.321456912.30001629.1611952.29999232.210932.30001639.2348822.29999230.2896552.30001629.657553
2976230.400277777840.645500180.438.826183322.428.7662142.431.835592.438.8664312.430.0138292.429.29519
2976830.416944444440.128162380.416666666738.990825652.50000828.3803132.49998431.4676022.50000838.5040762.49998429.7426422.50000828.940244
2977430.433611111139.966541290.433333333338.607536322.60001628.0031872.59999231.1067552.60001638.1476612.59999229.475972.60001628.592493
2978030.450277777840.253719330.4538.798324582.727.6345452.730.7528482.737.7970392.729.2136912.728.251725
2978630.466944444440.143959050.466666666738.250682832.80000827.2741082.79998430.4056872.80000837.4520662.79998428.9556912.80000827.917738
2979230.483611111140.126823430.483333333338.342082982.90001626.9216112.89999230.0650862.90001637.1126032.89999228.7018562.90001627.590334
2979830.500277777839.928192140.538.54568481326.576798329.730865336.778518328.452081327.269327
2980430.516944444439.487327580.516666666738.561790473.10000826.2394263.09998429.4028513.10000836.449683.09998428.206263.10000826.954534
2981030.533611111139.428203580.533333333338.249401093.20001625.909263.19999229.0808763.20001636.1259643.19999227.9642963.20001626.645781
2981630.550277777839.405647280.5538.317054753.325.5860783.328.764783.335.807253.327.726093.326.342901
2982230.566944444439.386611940.566666666738.416751863.40000825.2696653.39998428.4544063.40000835.493423.39998427.491552
2982830.583611111139.355941770.583333333338.253097533.50001624.9598143.49999228.1496063.50001635.1843623.49999227.260591
2983430.600277777839.074085240.637.638660433.624.6563283.627.8502333.634.8799653.627.033122
2984030.616944444439.379920960.616666666737.773960113.70000824.3590173.69998427.556153.70000834.5801243.69998426.80906
2984630.633611111139.179222110.633333333337.804809573.80001624.06773.79999227.267223.80001634.2847353.79999226.588326
2985230.650277777839.459316250.6537.63071063.923.78223.926.9833133.933.99373.926.370841
2985830.666944444438.863597870.666666666737.842620854.00000823.5023513.99998426.7043024.00000833.706923.99998426.156531
2986430.683611111138.684444430.683333333337.615310674.10001623.2279894.09999226.4300674.10001633.4243044.09999225.945323
2987030.700277777838.503074650.737.289146424.222.9589594.226.1604894.233.1457594.225.737146
2987630.716944444438.907394410.716666666737.510395054.30000822.6951124.29998425.8954544.30000832.8711984.29998425.531932
2988230.733611111138.672904970.733333333337.269268044.40001622.4363034.39999225.6348514.40001632.6005354.39999225.329616
2988830.750277777838.576667790.7537.163375854.522.1823924.525.3785754.532.3336874.525.130133
2989430.766944444438.438472750.766666666736.956611634.60000821.9332474.59998425.126524.60000832.0705744.59998424.933421
2990030.783611111138.046470640.783333333337.210681924.70001621.6887384.69999224.8785884.70001631.8111174.69999224.739422
2990630.800277777838.59058380.836.879787454.821.4487414.824.6346814.831.5552414.824.548076
2991230.816944444438.608272550.816666666736.604274754.90000821.2131354.89998424.3947064.90000831.3028714.89998424.359327
2991830.833611111137.848209380.833333333336.909763345.00001620.9818044.99999224.158575.00001631.0539364.99999224.173121
2992430.850277777838.217460630.8536.872539525.120.7546385.123.9261865.130.8083665.123.989405
2993030.866944444438.290309910.866666666736.54368215.20000820.5315285.19998423.6974695.20000830.5660935.19998423.808126
2993630.883611111138.061515810.883333333336.534683235.30001620.3123695.29999223.4723345.30001630.3270515.29999223.629236
2994230.900277777837.806472780.936.782402045.420.0970615.423.2507025.430.0911755.423.452685
2994830.916944444437.66528320.916666666736.269924165.50000819.8855085.49998423.0324945.50000829.8584055.49998423.278427
2995430.933611111137.784919740.933333333335.909881595.60001619.6776145.59999222.8176345.60001629.6286785.59999223.106415
2996030.950277777837.617752080.9536.190658575.719.4732885.722.6060495.729.4019355.722.936605
2996630.966944444437.424903870.966666666736.321815495.80000819.2724445.79998422.3976675.80000829.178125.79998422.768954
2997230.983611111137.645812990.983333333336.207881935.90001619.0749955.89999222.1924195.90001628.9571755.89999222.60342
2997831.000277777837.15026855136.04953003618.880859621.990236628.739047622.439961
2998431.016944444437.494079591.016666666736.073139196.10000818.6899576.09998421.7910546.10000828.5236826.09998422.278538
2999031.033611111137.227516171.033333333335.817111976.20001618.502216.19999221.5948096.20001628.3110286.19999222.119113
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