Dynamic capacity allocation in a radiology service considering different types of patients, individual no-show probabilities, and overbooking

da Silva, Rodolfo Benedito Zattar; Fogliatto, Flávio Sanson; Krindges, André; dos Santos Cecconello, Moiseis

doi:10.1186/s12913-021-06918-y

Table 6 Number of IPs and OPs not served under each policy considering different scenarios, with IP and EP arrival probabilities at baseline level

From: Dynamic capacity allocation in a radiology service considering different types of patients, individual no-show probabilities, and overbooking

	Type	Policies
	Type	Optimal	P1	P2	P3	P4	P5
Double overbooking
1 overtime resource
Costs: baseline	IP	1.79 ± 1.37	0.11 ± 0.47	7.70 ± 3.89	–	7.22 ± 3.45	–
Costs: baseline	OP	5.68 ± 2.79	7.38 ± 3.86	–	7.44 ± 3.89	0.28 ± 0.91	7.77 ± 3.87
Costs: low	IP	1.74 ± 1.37	0.14 ± 0.52	7.43 ± 3.86	–	7.39 ± 3.45	–
Costs: low	OP	5.61 ± 2.82	7.22 ± 3.82	–	7.68 ± 3.88	0.31 ± 0.95	7.61 ± 3.87
Costs: high	IP	1.81 ± 1.40	0.14 ± 0.53	7.21 ± 3.90	–	7.31 ± 3.43	–
Costs: high	OP	5.77 ± 2.77	7.46 ± 3.77	–	7.39 ± 3.87	0.31 ± 0.96	7.48 ± 3.88
2 overtime resources
Costs: baseline	IP	0.83 ± 1.05	0.03 ± 0.28	3.93 ± 3.37	–	3.85 ± 3.35	–
Costs: baseline	OP	2.93 ± 2.48	3.95 ± 3.32	–	3.91 ± 3.38	0.02 ± 0.25	3.94 ± 3.38
Costs: low	IP	0.85 ± 1.05	0.02 ± 0.17	3.87 ± 3.34	–	4.13 ± 3.35	–
Costs: low	OP	3.10 ± 2.50	3.74 ± 3.31	–	3.96 ± 3.35	0.02 ± 0.20	3.73 ± 3.31
Costs: high	IP	0.87 ± 1.09	0.01 ± 0.18	3.98 ± 3.38	–	3.74 ± 3.29	–
Costs: high	OP	3.13 ± 2.49	3.66 ± 3.31	–	3.95 ± 3.38	0.02 ± 0.22	4.16 ± 3.41
Flight overbooking
1 overtime resource
Costs: baseline	IP	1.75 ± 1.40	0.19 ± 0.55	7.14 ± 3.99	–	7.01 ± 3.61	–
Costs: baseline	OP	5.38 ± 2.86	7.31 ± 3.99	–	7.42 ± 3.97	0.28 ± 0.91	7.05 ± 3.99
Costs: low	IP	1.79 ± 1.43	0.16 ± 0.49	7.23 ± 3.99	–	7.12 ± 3.56	–
Costs: low	OP	5.54 ± 2.85	7.26 ± 3.94	–	7.30 ± 3.96	0.28 ± 0.90	7.52 ± 3.96
Costs: high	IP	1.74 ± 1.41	0.24 ± 0.60	7.25 ± 3.97	–	7.00 ± 3.61	–
Costs: high	OP	5.32 ± 2.79	7.11 ± 3.87	–	7.08 ± 3.95	0.28 ± 0.89	7.00 ± 3.94
2 overtime resources
Costs: baseline	IP	0.88 ± 1.10	0.06 ± 0.26	3.70 ± 3.40	–	3.74 ± 3.33	–
Costs: baseline	OP	3.01 ± 2.49	3.56 ± 3.29	–	3.66 ± 3.32	0.02 ± 0.21	3.67 ± 3.37
Costs: low	IP	0.83 ± 1.07	0.08 ± 0.29	3.31 ± 3.24	–	3.55 ± 3.29	–
Costs: low	OP	2.79 ± 2.46	3.65 ± 3.39	–	3.71 ± 3.36	0.02 ± 0.22	3.48 ± 3.27
Costs: high	IP	0.88 ± 1.11	0.02 ± 0.17	3.63 ± 3.36	–	3.79 ± 3.33	–
Costs: high	OP	2.97 ± 2.48	3.50 ± 3.28	–	3.60 ± 3.33	0.02 ± 0.22	3.43 ± 3.28

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