A Simulation Optimization Approach for Resource Allocation in an Emergency Department Healthcare Unit

Figures & Tables

Estimation of interactions and coefficients for patient wait time.

Resource	Sum of Squares	Interaction Estimation	Standard Error	F-Value	P-value
Model	1.67	0.21	0.023	3.89	0.0483
X₁	0.21	–0.08	0.023	12.05	0.0133
X₂	0.039	0.035	0.023	2.28	0.1815
X₃	0.040	0.035	0.023	2.30	0.1802
X₄	0.035	–0.033	0.023	2.04	0.2034
X₅	0.17	–0.073	0.023	9.91	0.0199
X₁X₂	0.004	–0.012	0.023	0.26	0.6277
X₁X₃	0.091	–0.053	0.023	5.29	0.0610
X₁X₄	0.084	–0.051	0.023	4.89	0.0690
X₁X₅	0.16	0.071	0.023	9.39	0.0221
X₂X₃	0.072	–0.047	0.023	4.16	0.0857
X₂X₄	0.041	–0.036	0.023	2.38	0.1737
X₂X₅	0.013	–0.02	0.023	0.73	0.4249
X₃X₄	0.005	–0.013	0.023	0.30	0.6031
X₃X₅	0.21	0.081	0.023	12.27	0.0128
X₄X₅	0.006	–0.004	0.023	0.038	0.8515
X₁X₂X₃	0.086	–0.052	0.023	5.02	0.0662
X₁X₂X₄	0.004	–0.012	0.023	0.28	0.6136
X₁X₂X₅	0.11	0.057	0.023	6.13	0.0481
X₁X₃X₄	0.049	–0.039	0.023	2.89	0.1417
X₁X₃X₅	0.16	0.071	0.023	9.29	0.0226
X₁X₄X₅	0.036	–0.034	0.023	2.12	0.1961
X₂X₃X₄	0.010	–0.018	0.023	0.59	0.4707
X₂X₃X₅	0.041	–0.036	0.023	2.36	0.1756
X₂X₄X₅	0.003	–0.01	0.023	0.2	0.6711
X₃X₄X₅	0.003	–0.009	0.023	0.18	0.6841

[i] R² = 0/9419, adjusted – R² = 0/70, PRESS = 2/94, Adeq – Precisior = 9/020.

Parameters specified for key variables.

Decision variables	L_i	U_i	Cost
(X₁)	1	2	0.6
(X₂)	1	3	0.5
(X₃)	1	6	0.8
(X₄)	1	3	0.7
(X₅)	5	10	2

Comparing the current and proposed status.

Status	Decision Variable					Wait Time (minutes)	Costs ($)
Status	Community Health Worker	Receptionist	Nurse	Cardiologist	Bed	Wait Time (minutes)	Costs ($)
Current	1	2	3	1	7	282	4140000
Proposed	2	1	1	3	10	142	1980000