. 2020 Jul 10;88:101868. doi: 10.1016/j.jairtraman.2020.101868

Table 1.

Adapted probability density functions for the simulation model.

Activity	Probability density function	Validation (λ)
Baggage unloading, flag carrier	$f (t_{E A}^{F C}) = \sqrt{\frac{356,4}{2 π \cdot t_{E A}^{F C^{3}}}} \cdot e x p (- \frac{356,4 \cdot {(t_{E A}^{F C} - 32,3)}^{2}}{2 \cdot 32, 3^{2} \cdot t_{E A}^{F C}})$	0,67
Baggage unloading, lowcost carrier	$f (t_{E A}^{L C}) = \frac{1,27}{38,3} {(\frac{t_{E A}^{L C} - 45,56}{38,3})}^{0,27} \cdot exp (- {(\frac{t_{E A}^{L C} - 45,56}{38,3})}^{1,27})$	0,42
Baggage unloading, charter carrier	$f (t_{E A}^{F C}) = \frac{exp (- 0,5 \cdot {(\frac{\ln (t_{E A}^{F C} - 34,5) - 3,6}{0,58})}^{2})}{(t_{E A}^{F C} - 3,6) \cdot 0,58 \cdot \sqrt{2 π}}$	0,37
Baggage collection, flag carrier	$f (t_{E X A}^{F C}) = \frac{2,79}{26,9} {(\frac{t_{E X A}^{F C} - 14,54}{26,9})}^{1,79} \cdot exp (- {(\frac{t_{E X A}^{F C} - 14,54}{26,9})}^{2,79})$	0,56
Baggage collection, lowcost carrier	$f (t_{E X A}^{L C}) = \sqrt{\frac{875}{2 π \cdot t_{E X A}^{F C^{3}}}} \cdot e x p (- \frac{875 \cdot {(t_{E A}^{L C} - 108)}^{2}}{2 \cdot 108^{2} \cdot t_{E A}^{F C}})$	0,34
Baggage collection, charter carrier	$f (t_{E X A}^{C C}) = \frac{1,31}{52,6} {(\frac{t_{E X A}^{C C} - 63,9}{52,6})}^{0,31} \cdot exp (- {(\frac{t_{E X A}^{C C} - 63,9}{52,6})}^{1,31})$	0,62
Passenger inspection	$f (t_{m c o n t r}) = \frac{exp (- 0,5 \cdot {(\frac{\ln (t_{E A}^{F C} - 11,8) - 2,96}{0,27})}^{2})}{(t_{E A}^{F C} - 2,96) \cdot 0,27 \cdot \sqrt{2 π}}$	0,23
Baggage x-ray inspection	$f (t_{c o n t B a g}) = \frac{1,62}{14,08} {(\frac{t_{c o n t B a g}}{14,08})}^{0,62} \cdot exp (- {(\frac{t_{c o n t B a g}}{14,08})}^{1,62})$	0,44
Baggage extended inspection	$f (t_{m c o n t B A G}) = \frac{exp (- 0,5 \cdot {(\frac{t_{m c o n t B A G} - 22,62}{3,11})}^{2})}{3,11 \cdot \sqrt{2 π}}$	0,47