Uc science building testbed meeting 16 sep 2002
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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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UC Science Building Testbed Meeting 16 Sep 2002

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Uc science building testbed meeting 16 sep 2002

UC Science Building TestbedMeeting 16 Sep 2002

Porter, Beck, & Shaikhutdinov


Methodology overview

Methodology Overview

2


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

3


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)

4


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

5


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.

6


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)

7


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

8


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]

9


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

10


From overturning and unrestrained displacement to life safety and operational failure

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

11


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