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* Includes only admits to nursing units in study
Data Collection Period: 1 Jan 2010 to 31 Dec 2011Source: Admission/Disposition/Transfer Report
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Data Collection / Data Input• What’s “Under the Hood?”
ARRIVAL DATA – Average Admissions Per Day
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• One of Many Probability Distributions:Samples of Admission Arrival Cycles
Sunday Admissions
Monday Admissions
2.9%2.3%2.0%1.9%2.1%4.9%2.8%3.5%4.6%5.3%5.3%5.1%6.2%5.4%5.4%5.6%5.3%5.5%5.0%4.8%4.2%3.6%3.4%2.7%
0.0%0%10%20%30%40%50%60%70%80%90%100%
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10%15%20%25%30%35%
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Hour of Day (hh:mm)Frequency% Cumulative %
2.6%1.8%1.4%1.3%2.2%
9.0%4.1%4.6%5.4%6.0%5.6%5.7%5.9%5.1%5.6%5.3%5.3%4.6%4.5%3.3%3.5%2.9%2.4%2.1%0.0%
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Cum
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Freq
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Hour of Day (hh:mm)Frequency% Cumulative %
Data Collection / Data Input
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UNIT NAME % ARRIVALSHOSPITALISTS 24.79%PRIM CARE 20.49%CARDIO 11.75%GEN SURG 11.73%ORTHO 9.19%TRAUMA CRIT CARE SURG 5.11%VASCULAR 4.24%STROKE 3.92%CARDIAC SURG 3.06%ONC 3.05%CRITICAL CARE 1.63%CARDIOTHORACIC SURG 1.06%
Data Collection / Data Input• Percent of Admissions by Service Line
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LOC CapacityUnit_S_10A_ONC 22Unit_S_10B_PCAR 10Unit_W_05 26Unit_W_09 27Unit_W_10 28Unit_W_11 28Unit_E_07 16Unit_W_08 27Unit_W_12 27Unit_M_07PCU 12Unit_M_07PCU2 8Unit_M_08PCU 20Unit_M_09PCU 20Unit_M_10PCU 20Unit_S_07PCU_S_07SW 21Unit_S_08PCU_S_08SW 25Unit_S_09PCU_S_09SW 25Unit_M_06ICU 12Unit_M_08ICU 12Unit_M_09ICU 12Unit_M_10ICU 12Unit_S_06ICU 11Unit_S_07ICU 12Unit_S_09TSU 10
Data Collection / Data Input• Bed Capacity by
Nursing Unit in Study
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HOSP
ITAL
ISTS
PRIM
CAR
E
CARD
IO
GEN
SURG
ORT
HO
TRAU
MA CR
IT CAR
E SU
RG
VASC
ULA
R
STRO
KE
CARD
IAC SU
RG
ONC
CRITICAL
CAR
E
CARD
IOTH
ORA
CIC
SURG
ACUITY%
ARRIVAL%
ARRIVAL%
ARRIVAL%
ARRIVAL%
ARRIVAL%
ARRIVAL%
ARRIVAL%
ARRIVAL%
ARRIVAL%
ARRIVAL%
ARRIVAL%
ARRIVAL
M/S Level 1 29.19% 26.76% 0.07% 57.26% 95.42% 21.27% 8.93% 4.66% 0.39% 94.03% 15.29% 3.66%
PCU Level 2 59.64% 61.97% 70.35% 32.08% 3.50% 51.12% 56.47% 74.74% 37.24% 4.12% 30.32% 57.46%
ICU Level 3 11.17% 11.27% 29.58% 10.66% 1.08% 27.60% 34.60% 20.61% 62.36% 1.85% 54.39% 38.87%
Data Collection / Data Input• Percent Admit by Acuity by Service
and How Initial Acuity Attributes are Assigned
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Mean = 2.89 days
Data Collection / Data Input• Example of a Fitted Distribution for Length of
Stay: Service = Stroke Patients,Acuity Level = ICU, Transfer Status = 1st
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Data Collection / Data Input• LOS Accounts for Variation Between
– 1) Admitting Service – 2) Acuity Level and – 3) Number of Transfers between Units
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1ST ROUTING 2ND ‐ 4TH ROUTING 5TH ‐ 8TH ROUTING
ServiceACUITY LEVEL 1
ACUITY LEVEL 2
ACUITY LEVEL 3
ACUITY LEVEL 1
ACUITY LEVEL 2
ACUITY LEVEL 3
ACUITY LEVEL 1
ACUITY LEVEL 2
ACUITY LEVEL 3
HOSPITALISTS B(1.08, 16.7, 0., 72.1) B(0.992, 10., 0., 49.8)2.96*(1./((1./U(0.5,0.5))‐1.))**(1./1.65) B(1.24, 83.1, 0., 269) B(1.37, 68.1, 0., 215)
2.83*(1./((1./U(0.5,0.5))‐1.))**(1./1.87) P6(1.01, 4.34, 22.2) P6(1.01, 4.34, 22.2) P6(1.01, 4.34, 22.2)
PRIM_CARE ER(4.42, 1.) W(1.06, 4.36) G(1.01, 4.66) B(1.04, 28.5, 0., 96.3) B(1.19, 21.2, 0., 72.4)2.61*(1./((1./U(0.5,0.5))‐1.))**(1./1.77) P6(1.01, 4.34, 22.2) P6(1.01, 4.34, 22.2) P6(1.01, 4.34, 22.2)
CARDIO B(1.28, 20.9, 0., 50.7) B(1.28, 20.9, 0., 50.7) B(1.32, 23.2, 0., 42.7) B(1.46, 37., 0., 73.) B(1.46, 37., 0., 73.)1.9*(1./((1./U(0.5,0.5))‐1.))**(1./2.03)
B(0.92284,6.8837,0.00063657,43)
B(0.92284,6.8837,0.00063657,43)
B(0.92284,6.8837,0.00063657,43)
GEN_SURG B(1.48, 152, 0., 265) G(1.73, 2.)1.74*(1./((1./U(0.5,0.5))‐1.))**(1./1.96)
1.96*(1./((1./U(0.5,0.5))‐1.))**(1./1.76) P6(1.34, 5.4, 14.9)
3.11*(1./((1./U(0.5,0.5))‐1.))**(1./1.59)
B(0.92284,6.8837,0.00063657,43)
B(0.92284,6.8837,0.00063657,43)
B(0.92284,6.8837,0.00063657,43)
ORTHO B(3.93, 79., 0., 55.2)B(1.6154,4.5134,‐0.034253,9.7619)
B(1.6154,4.5134,‐0.034253,9.7619) B(1.5, 43.2, 0., 94.8) G(1.63, 2.) G(1.63, 2.)
B(0.92284,6.8837,0.00063657,43)
B(0.92284,6.8837,0.00063657,43)
B(0.92284,6.8837,0.00063657,43)
TRAUMA_CRIT_CARE_SURG P6(1.06, 2.81, 9.98) P6(1.14, 6.63, 23.8) P6(1.14, 6.63, 23.8)2.03*(1./((1./U(0.5,0.5))‐1.))**(1./1.71) P6(1.4, 5.26, 13.5)
3.01*(1./((1./U(0.5,0.5))‐1.))**(1./1.35) P6(1., 3.35, 20.3) P6(1., 3.35, 20.3) P6(1., 3.35, 20.3)
Vasc W(0.846, 2.3) P6(1.08, 6.36, 20.) B(1.35, 33.1, 0., 48.)B(0.84565,5.6434,0.0072106,14.688)
3.05*(1./((1./U(0.5,0.5))‐1.))**(1./1.43)
2.49*(1./((1./U(0.5,0.5))‐1.))**(1./1.68) P6(1.01, 4.34, 22.2) P6(1.01, 4.34, 22.2) P6(1.01, 4.34, 22.2)
STROKE P6(1.42, 5.42, 13.5) P6(1.42, 5.42, 13.5)B(1.0794,7.5301,0.042517,22.561) G(1.03, 3.02)
2.87*(1./((1./U(0.5,0.5))‐1.))**(1./2.08) G(1.41, 2.) P6(1.01, 4.34, 22.2) P6(1.01, 4.34, 22.2) P6(1.01, 4.34, 22.2)
CARDIAC_SURG B(0.96663,12.905,0.0083333,39.989)
B(0.96663,12.905,0.0083333,39.989) G(0.8, 4.3) ER(3.51, 2.) ER(3.51, 2.) P6(3.2, 3.54, 2.77)
B(0.92284,6.8837,0.00063657,43)
B(0.92284,6.8837,0.00063657,43)
B(0.92284,6.8837,0.00063657,43)
ONC B(1.02, 21.8, 0., 113) B(1.02, 21.8, 0., 113) B(1.02, 21.8, 0., 113)3.65*(1./((1./U(0.5,0.5))‐1.))**(1./1.61)
2.48*(1./((1./U(0.5,0.5))‐1.))**(1./1.43) P6(1.12, 2.74, 7.14) P6(1.01, 4.34, 22.2) P6(1.01, 4.34, 22.2) P6(1.01, 4.34, 22.2)
CRITICAL_CARE B(0.57171,4.1794,0.015972,53.147)
B(0.57171,4.1794,0.015972,53.147) P6(1.01, 5.68, 19.6)
2.44*(1./((1./U(0.5,0.5))‐1.))**(1./1.86) P6(1.35, 3.3, 8.53)
2.69*(1./((1./U(0.5,0.5))‐1.))**(1./1.41) P6(1., 3.35, 20.3) P6(1., 3.35, 20.3) P6(1., 3.35, 20.3)
CARDIOTHORACIC_SURG B(0.68832,1.5074,0.044977,10.305)
B(0.68832,1.5074,0.044977,10.305)
4.2*(1./((1./U(0.5,0.5))‐1.))**(1./1.42)
B(0.93291,42.406,0.0027778,186.97)
B(0.93291,42.406,0.0027778,186.97)
6.05*(1./((1./U(0.5,0.5))‐1.))**(1./1.78)
B(0.92284,6.8837,0.00063657,43)
B(0.92284,6.8837,0.00063657,43)
B(0.92284,6.8837,0.00063657,43)
• Routing Sequence for PCU Level of AcuitySource: Transfer Center
Data Collection / Data Input
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1 2 3 4 5 6
HOSPITALISTS Unit_W_08 Unit_M_08PCU Unit_M_10PCUUnit_S_08PCU_S_08SW
Unit_M_07PCU2 Unit_W_12
PRIM_CARE Unit_M_08PCU Unit_W_08 Unit_M_10PCUUnit_S_08PCU_S_08SW Unit_M_07PCU Unit_W_12
CARDIOUnit_S_07PCU_S_07SW
Unit_S_08PCU_S_08SW
Unit_S_09PCU_S_09SW Unit_M_08PCU Unit_W_08 Unit_M_10PCU
GEN_SURG Unit_M_10PCU Unit_M_09PCU Unit_M_07PCU Unit_M_08PCU Unit_E_07Unit_M_07PCU2
ORTHO Unit_M_09PCU Unit_M_10PCU Unit_W_12 Unit_M_08PCU Unit_E_07 Unit_W_08TRAUMA_CRIT_CARE_SURG Unit_M_09PCU Unit_M_10PCU Unit_W_12 Unit_M_08PCU Unit_M_07PCU Unit_E_07
Vasc Unit_M_07PCU Unit_E_07 Unit_M_07PCU2Unit_S_07PCU_S_07SW Unit_M_10PCU Unit_W_08
STROKE Unit_W_12 Unit_M_09PCU Unit_W_08 Unit_M_08PCU Unit_E_07Unit_S_07PCU_S_07SW
CARDIAC_SURGUnit_S_09PCU_S_09SW Unit_S_09TSU Unit_M_10PCU
Unit_S_07PCU_S_07SW
Unit_S_08PCU_S_08SW Unit_E_07
ONC Unit_W_08 Unit_M_08PCU Unit_M_10PCU Unit_E_07Unit_S_07PCU_S_07SW
Unit_S_09PCU_S_09SW
CRITICAL_CARE Unit_M_08PCU Unit_W_08 Unit_M_10PCUUnit_S_08PCU_S_08SW
Unit_S_07PCU_S_07SW Unit_E_07
CARDIOTHORACIC_SURG Unit_S_09TSU
Unit_S_09PCU_S_09SW Unit_M_10PCU
Unit_S_07PCU_S_07SW
Unit_S_08PCU_S_08SW Unit_E_07
• Transfers Between Units (2 of 8 Route Matrices)Up (in Acuity), Down (in Acuity), Lateral
Order of Routing 1 2UDLO PERCENTS UDLO PERCENTS
SERVICE U D L O U D L OHOSPITALISTS 0.11684 0.203326 0.059044 0.62079 0.067051 0.121551 0.021144 0.790253PRIM CARE 0.118168 0.191039 0.069916 0.620876 0.076932 0.136582 0.027964 0.758521CARDIO 0.06833 0.206774 0.055556 0.66934 0.045484 0.132928 0.014094 0.807495GEN SURG 0.071948 0.077398 0.041061 0.809593 0.104982 0.133452 0.046708 0.714858ORTHO 0.020276 0.022247 0.015207 0.94227 0.051306 0.065299 0.04944 0.833955TRAUMA CRIT CARE SURG 0.108108 0.265766 0.085586 0.540541 0.08518 0.230921 0.041851 0.642048Vasc 0.119806 0.08041 0.060443 0.739342 0.119895 0.130435 0.071146 0.678524STROKE 0.041916 0.203593 0.047904 0.706587 0.036606 0.182196 0.022463 0.758735CARDIAC SURG 0.413302 0.251781 0.228029 0.106888 0.199806 0.56935 0.084384 0.14646ONC 0.058104 0.042813 0.107034 0.792049 0.080906 0.116505 0.11165 0.690939CRITICAL CARE 0.11284 0.093385 0.101167 0.692607 0.097691 0.186501 0.031972 0.683837CARDIOTHORACIC 0.255319 0.092199 0.085106 0.567376 0.114068 0.087452 0.057034 0.741445
Data Collection / Data Input(Same Acuity) or Out (Discharge)
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VALIDATION (MODEL VS. EMPIRICAL) AVERAGE LENGTH OF STAY BY SERVICE LINE
SERVICE LOS DAYS MODELLOS DAYS EMPIRICAL
PERCENT CHANGE
HOSPITALISTS 5.56 5.73 -3.2%PRIM CARE 5.38 5.42 -0.7%CARDIO 3.65 3.65 0.1%GEN SURG 4.82 4.98 -3.4%ORTHO 2.96 3.11 -5.2%TRAUMA CRIT CARE SURG 7.66 7.75 -1.2%VASC 4.74 5.09 -7.3%STROKE 4.90 5.16 -5.4%CARDIAC SURG 8.92 8.69 2.6%ONC 7.06 7.32 -3.7%CRITICAL CARE 7.04 7.40 -5.1%CARDIOTHORACIC SURG 9.90 10.63 -7.3%
AVG OF ALL SERVICES 5.20 5.30 -2.0%
Comparison of Means: Empirical vs. Model-Generated Data
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