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# UC Science Building Testbed Meeting 16 Sep 2002 - PowerPoint PPT Presentation

UC Science Building Testbed Meeting 16 Sep 2002. Porter, Beck, & Shaikhutdinov. Methodology Overview. Decision Basis. Applies to an operational unit for a given planning period T , location O , and design D Probability of operational failure

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### UC Science Building TestbedMeeting 16 Sep 2002

Porter, Beck, & Shaikhutdinov

• Applies to an operational unit for a given planning period T, location O, and design D

• Probability of operational failure

• Operational failure occurs if any component that is critical for operations fails

• Probability of life-safety failure

• Life-safety failure occurs if any component that is critical for operations fails

• Probability distribution of repair cost

• Probability distribution of repair duration

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• Applies to an operational unit

• DVO:binary RV for operational state = 1  operational failure

• DVL: binary RV for life-safety state = 1  life-safety failure

• CR = repair cost, a scalar RV

• DR = repair duration, a scalar RV

• Goal:

P[DVO=1 | T, O, D]

P[DVL=1 | T, O, D]

FCR|T,O,D(cr|t,o,d) – a CDF of repair cost given T,O,D

FDR|T,O,D(dr|t,o,d)

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• Applies to a component

• DMR,i: binary RV for component i requiring repair or replacement

• DMR,i = 1  component requires repair or replacement

• Assume repair or replacement required if:

• Overturns (including sliding off bench or shelf)

• Impact sufficient to damage items

• Stored in equipment that overturns

• DMO,i: binary RV for operation-critical-component i operational state

• DMO,i = 1  operational failure of component

• Operational failure means

• Operation-critical equipment or specimen & DMR,i = 1

• Door of refrigerator containing operation-critical specimens opens, or

• DML,i: binary RV indicating component i life-safety state

• DML,i = 1  life-safety failure of component

• Life-safety failure means

• Life-safety hazard = “D” & overturns (O/T) or

• Chemical hazard ≠ “N” & overturns or

• Unrestrained weighty object & achieves momentum sufficient to cause trauma

• Unrestrained weighty object & displacement is great enough to block egress

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• DVO = maxi(DMO,i)

• DVL = maxi(DML,i)

• CR = ΣDMR,iCR,i

• CR,i = uncertain repair or replacement cost, equipment component i. The equation is different for construction.

• DR = Max(DMR,iDR,I)

• DR,i = uncertain repair or replacement time, equipment component i. The equation is different for construction.

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• CR = (1 + CO&P)SjSdNj,dCj,d

CR = repair cost

CO&P = overhead & profit, ~U(0.15, 0.20)

j = index of assembly type

d = index of damage state

Nj,d = number of assemblies of type j in state d

Cj,d = unit cost to restore assemblies of type j from state d, ~LN(mCj,d, bCj,d)

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• TR,m = T0 + SjSdTj,dNj,d/nj,d + StNtTt

TR,m = time to restore operational unit m

T0 = design, contracting, and mobilization time

Tj,d = time for one crew to restore one unit of assembly type j from state d, weeks.

nj,d = number of crews available

Nt = number of changes of trade

• Slow repair: high T0, low nj,d, high Tt, operational units restored in series (trades move from one unit to next)

• Fast repair: low T0, high nj,d, low Tt, operational units restored in parallel

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• Fragility function gives the probability that an undesirable event (“failure”) occurs given input excitation (engineering demand parameter)

• Possible equipment EDP

• Peak diaphragm acceleration (PDA) or

• Peak diaphragm velocity (PDV) or

• Both

• Need P[DML,i|EDPi], P[DMO,i|EDPi]

• May depend on P[O/T|EDP], P[URD|EDP] or P[O/T or URD|EDP]

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Makris will provide fragilities from top of list through fume hoods by 1 Dec.

Hutchison will provide others. Draft fragilities to be delivered by early to mid-December

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From Overturning and Unrestrained Displacement to Life-Safety and Operational Failure

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