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Table 5 Applying queuing theory to the emergency bed area

From: Analyzing the queuing theory at the emergency department at King Hussein cancer center

Day and Date

Arrival time ʎ at the emergency bed

Service time µ real

Average operation

The average number of patients in the line (average queue length)

The average number of patients in the system

The average wait time in the line

The average time in the system (average residence time in the system)

Saturday

16–7-2022

40

72

0.555555556

0.694444444

1.25

1.041666667

1.875

Sunday

17–7-2022

48

64

0.75

2.25

3

2.8125

3.75

Monday

18–7-2022

57

63

0.904762

8.595238

9.5

9.047619

10

Tuesday

19–7-2022

53

59

0.898305

7.935028

8.833333

8.983051

10

Wednesday

20–7-2022

61

69

0.884058

6.740942

7.625

6.630435

7.5

Thursday

21–7-2022

46

60

0.766667

2.519048

3.285714

3.285714

4.285714286