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Table 7 Number of IPs and OPs not served under each policy considering different scenarios, with IP and EP arrival probabilities at the low level

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

  

Policies

Type

Optimal

P1

P2

P3

P4

P5

Double overbooking

1 overtime resource

  Costs: baseline

IP

0.14 ± 0.42

0.02 ± 0.16

1.02 ± 1.80

1.03 ± 1.79

OP

0.91 ± 1.53

1.01 ± 1.78

1.10 ± 1.89

0.87 ± 1.66

  Costs: low

IP

0.13 ± 0.41

0.02 ± 0.21

0.95 ± 1.75

0.97 ± 1.75

OP

0.86 ± 1.48

0.98 ± 1.72

0.89 ± 1.71

0.94 ± 1.72

  Costs: high

IP

0.14 ± 0.43

0.02 ± 0.16

0.96 ± 1.76

0.98 ± 1.77

OP

0.88 ± 1.51

0.80 ± 1.60

0.98 ± 1.79

0.91 ± 1.74

2 overtime resources

  Costs: baseline

IP

0.01 ± 0.12

0.00 ± 0.00

0.12 ± 0.61

0.13 ± 0.63

OP

0.12 ± 0.53

0.13 ± 0.64

0.13 ± 0.64

0.15 ± 0.66

  Costs: low

IP

0.01 ± 0.13

0.00 ± 0.00

0.12 ± 0.61

0.13 ± 0.62

OP

0.11 ± 0.52

0.16 ± 0.69

0.15 ± 0.67

0.11 ± 0.56

  Costs: high

IP

0.01 ± 0.14

0.00 ± 0.00

0.14 ± 0.66

0.13 ± 0.63

OP

0.13 ± 0.57

0.13 ± 0.64

0.15 ± 0.69

0.12 ± 0.58

Flight overbooking

1 overtime resource

  Costs: baseline

IP

0.11 ± 0.38

0.02 ± 0.18

0.79 ± 1.69

0.85 ± 1.71

OP

0.65 ± 1.34

0.83 ± 1.69

0.67 ± 1.55

0.78 ± 1.65

  Costs: low

IP

0.12 ± 0.40

0.01 ± 0.14

0.75 ± 1.62

0.83 ± 1.69

OP

0.70 ± 1.39

0.67 ± 1.51

0.72 ± 1.57

0.80 ± 1.67

  Costs: high

IP

0.10 ± 0.38

0.00 ± 0.00

0.73 ± 1.56

0.82 ± 1.69

OP

0.63 ± 1.30

0.79 ± 1.63

0.78 ± 1.63

0.74 ± 1.60

2 overtime resources

  Costs: baseline

IP

0.01 ± 0.11

0.00 ± 0.00

0.11 ± 0.58

0.10 ± 0.57

OP

0.08 ± 0.44

0.12 ± 0.61

0.10 ± 0.56

0.11 ± 0.59

  Costs: low

IP

0.01 ± 0.13

0.00 ± 0.00

0.11 ± 0.60

0.12 ± 0.63

OP

0.09 ± 0.48

0.09 ± 0.53

0.10 ± 0.57

0.09 ± 0.51

  Costs: high

IP

0.01 ± 0.11

0.00 ± 0.00

0.12 ± 0.60

0.10 ± 0.55

OP

0.09 ± 0.49

0.11 ± 0.57

0.10 ± 0.57

0.12 ± 0.63