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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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Presentation Transcript
decision basis
Decision Basis
  • 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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decision variables
Decision Variables
  • 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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damage measures
Damage Measures
  • 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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dv dm for equipment
DV|DM for Equipment
  • 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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dv dm for construction cost
DV|DM for Construction Cost
  • 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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dv dm for construction duration
DV|DM for Construction Duration
  • 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

Tt = change-of-trade delay, weeks.

  • 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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assembly dm edp fragility functions
Assembly DM|EDP Fragility Functions
  • 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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sample lab
Sample Lab

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

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