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FRAMEWORK OF SEISMIC RESILIENCE AND RECOVERY OF HOSPITAL CLUSTER

By: Emad Hassan

Advisor: Dr. Hussam Mahmoud

Civil & Environmental Engineering Department

Significance

Purpose

• Understand hospitals functionality and the hospitalization service. • Study community resilience and recovery after major seismic events.

• Investigate the factors causing the reduction of the hospitalization service after the EQ hazard.

Methodology

Hospital Functionality Assessment

Conclusion

Future Research

Case Study

(Shelby County, TN)

The main components controlling the availability of

service: Hospitals capacity,DemandandP-H Connection

Hospital Patient

- Staff availability - Working space functionality

- Supplies availability etc.…

- Number of patients - Disease type and condition - Patient constraints (insurance)

etc.…

Number of staffed bed

Capacity Number of patient per hospital “Demand - Transportation functionality

- Ambulance availability - Travel time

etc.…

Patient waiting time

P-H Connection

Hospitalization Service

Infrastructure Recovery

Hospital Capacity Ba(t):

Ba(t)= B0* Rb(t) “Fault tree analysis”

Hospital Demand Na(t):

Pi1Pi2Pi3…… Pin]

“Patient-driven model” Na(t)= ∑ [max I j=J]

Patient waiting time Wt(t):

Wt(t)= ⁄ ⁄

Hospitalization service Ft(t): Qv(t)= Ba(t)

Ft(t)=

QS(t)= , ⁄ , 0

“Fault tree analysis”

Sixdifferent lifelines investigated

0 ∗

,

Markov chain process (stochastic model)

∑ Subjected to: X t ∑x and: x x 1.0 0.6 1.0 0.3 1.0 0.0 0.3 0.3 1.0 0.6 0.6 0.6 0.0 0.0 0.6 0.3 0.3 0.3 0.6 0.0 0.0 0.0 0.0 0.0 0.0 0.3 0.0 1.0 0.0 0.6 0.6 1.0 0.6 0.0 0.0 1.0  Telecommunication Water Supply Wastewater Treatment Health care Lead in g L if el in e Dependent Lifeline Effect of Transportation on itself Effect of Telecommunication on the Electricity Electricity Transportation Interaction matrix

Optimizationwas conducted to distribute the limited resources to

maximize income return (R)

• Function on hospital capacity andpatient waiting time.

• Function on travel time,hospital capacity anddemand.

• Time to receive the hospitalization service.

Shelby County, TN

Methodist University Hospital

Capacity: 617 beds

Methodist University Hospital service area

M et hodi st of fici al w ebsi te Functionality stages Repair resources Resilience definitions: 1. Capacity to recover quickly from disruptions. 2. Ability to provide required

level of functionality for a building.

3. Area under the functionality curve.

Resilience framework:

Optimization

Modeling

process Fragility analysis estimationLoss Functionalityevaluation estimationRecovery Resilience estimation

• Analytical resilience framework implemented to estimate infrastructure resilience.

• Change in service area, waiting time, number of staffed beds and

hospitalization service over the time after the EQ.

Func ti ona lit y % Time (day) To ta l f unc ti onal it Resilience Wastewater Life line s func tional ity H ospital func tiona lity

Results:

 Introduce enhanced framework to estimate hospitalization service in a community.

 Evaluate the dependence of community infrastructure on the seismic performance of a hospital building.

 Introduce a community recovery model for essential infrastructure while accounting for interdependencies between lifelines.

Patient received the hospitalization service in the street

(Central Mexico earthquake 2017) Patient transferred from St. John's Regional Medical Center, Missouri (2011)

Hospitalization service:

 Hospitalization service depends on personal, space and supplies availability in addition to the demand on the hospitals.

 Patient’s selection of the hospital is sensitive and changes with time.  The backup systems are essential for the hospitals to ensure acceptable

level of the hospitalization service after the EQ hazard.

 Validate the introduced frameworks for both the hospitalization service functionality and EQ recovery against field data.

 Apply the frameworks to Memphis Metropolitan Area, which is considered a larger scale testbed.

 Introduce recommendations for healthcare managements to enhance hospitalization service during and after the EQ hazard.

 Hospital capacity expressed in terms of number of staffed beds available Ba(t).

 Every staffed bed required: Personnel, space and supplies availability to run.

 Fault tree analysis consists of And & Or gates, top or intermediate events and basic events selected to evaluate staffed beds availability.

Staff Space Supplies

 Hospital demand is estimated based on patient selection or case criticality (patient-driven

model).

 Fault tree analysis implemented to estimate the probability of a patient going to each hospital.

Constraint P-H connection

Probability that Patients iGoes to Hospital J( ) Hospital availability P-H connection availability Reputation Patient constraints Financial P3 P4 P5 P1 P2 P6 P7 P9 P10 P11 P12 P8 Infrastructure damage Damage states Available resources Interdep-endence

Problem Description:

Day 0 Day 1 Day 25 Time Time Time Time Time Time Day 100 Day 50 Day 200

References

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