4-22 Management wants to study Terminal 3 at a hub airport with an eventual eye toward improvement. The first step is to model it as it is during the 8 hours through the busiest part of a typical weekday. We'll model the check-in and security operations only, that is, once passengers get through security they're on their way to their gate and out of our model. Passengers arrive one at a time through the front door from curbside ground transportation with interarrival times distributed exponentially with mean 0.5 minute (all times are in minutes unless otherwise noted). Of these passengers, 35% go left to an old-fashioned manual check-in counter, 50% go right to a newfangled automated check-in counter, and the remaining 15% don't need to check in at all and proceed directly from the front door to security (it takes these latter types of passengers between 3 and 5 minutes, uniformly distributed, to make the walk from the front door to the entrance to the security area; the other two passenger types move instantly from their arrival to the manual or automated check-in counter as the case may be). There are two agents at the manual check-in station, fed by a single FIFO queue; manual check-in times follow a triangular distribution between 1 and 5 minutes with a mode of 2 minutes. After manual check-in, passengers walk to the security area, a stroll that takes them be- tween 2.0 and 5.8 minutes, uniformly distributed. The automated check-in has two sta- tions (a station consists of a touch-screen kiosk and an employee to take checked bags; view a kiosk-employee pair as a single unified unit, that is, the kiosk and its employee cannot be separated), fed by a single FIFO queue, and check-in times are triangularly distributed between 0.5 and 1.5 with a mode of 1. After automated check-in, passengers walk to the security area, taking between 1 and 3 minutes, uniformly distributed, to get there (automated check-in passengers are just quicker than manual check-in passengers at everything). All passengers eventually get to the security area, where there are six stations fed by a single FIFO queue; security-check times are triangularly distributed between 1 and 6 with a mode of 2 (this distribution captures all the possibilities there, like x-ray of carry-ons, walking through the metal detector, bag search, body wanding, shoes off, laptop checking, etc.). Once through the security check (everybody passes, though it takes some longer than others to do so), passengers head to their gates and are no longer in our model. Simulate this system for one replication of an 8-hour period and look at the average queue lengths, average times in queue, resource utilizations, and average total time in system of passengers (for all passenger types combined). Animate your model, including queues, resources, and passengers walking to security. Put in plots that track the length of each of the three queues over the 8-hour simulation (either three separate plots or three curves in a single plot). Put a text box in your model sum- marizing all the requested results.

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Your Question:
4-22 Management wants to study Terminal 3 at a hub airport with an eventual eye
toward improvement. The first step is to model it as it is during the 8 hours through
the busiest part of a typical weekday. We'll model the check-in and security operations
only, that is, once passengers get through security they're on their way to their gate and
out of our model. Passengers arrive one at a time through the front door from curbside
ground transportation with interarrival times distributed exponentially with mean 0.5
minute (all times are in minutes unless otherwise noted). Of these passengers, 35%
go left to an old-fashioned manual check-in counter, 50% go right to a newfangled
automated check-in counter, and the remaining 15% don't need to check in at all and
proceed directly from the front door to security (it takes these latter types of passengers
between 3 and 5 minutes, uniformly distributed, to make the walk from the front door
to the entrance to the security area; the other two passenger types move instantly from
their arrival to the manual or automated check-in counter as the case may be). There are
two agents at the manual check-in station, fed by a single FIFO queue; manual check-in
times follow a triangular distribution between 1 and 5 minutes with a mode of 2 minutes.
After manual check-in, passengers walk to the security area, a stroll that takes them be-
tween 2.0 and 5.8 minutes, uniformly distributed. The automated check-in has two sta-
tions (a station consists of a touch-screen kiosk and an employee to take checked bags;
view a kiosk-employee pair as a single unified unit, that is, the kiosk and its employee
cannot be separated), fed by a single FIFO queue, and check-in times are triangularly
distributed between 0.5 and 1.5 with a mode of 1. After automated check-in, passengers
walk to the security area, taking between 1 and 3 minutes, uniformly distributed, to get
there (automated check-in passengers are just quicker than manual check-in passengers
at everything). All passengers eventually get to the security area, where there are six
stations fed by a single FIFO queue; security-check times are triangularly distributed
between 1 and 6 with a mode of 2 (this distribution captures all the possibilities there,
like x-ray of carry-ons, walking through the metal detector, bag search, body wanding,
shoes off, laptop checking, etc.). Once through the security check (everybody passes,
though it takes some longer than others to do so), passengers head to their gates and are
no longer in our model. Simulate this system for one replication of an 8-hour period
and look at the average queue lengths, average times in queue, resource utilizations, and
average total time in system of passengers (for all passenger types combined). Animate
your model, including queues, resources, and passengers walking to security. Put in
plots that track the length of each of the three queues over the 8-hour simulation (either
three separate plots or three curves in a single plot). Put a text box in your model sum-
marizing all the requested results.
Transcribed Image Text:4-22 Management wants to study Terminal 3 at a hub airport with an eventual eye toward improvement. The first step is to model it as it is during the 8 hours through the busiest part of a typical weekday. We'll model the check-in and security operations only, that is, once passengers get through security they're on their way to their gate and out of our model. Passengers arrive one at a time through the front door from curbside ground transportation with interarrival times distributed exponentially with mean 0.5 minute (all times are in minutes unless otherwise noted). Of these passengers, 35% go left to an old-fashioned manual check-in counter, 50% go right to a newfangled automated check-in counter, and the remaining 15% don't need to check in at all and proceed directly from the front door to security (it takes these latter types of passengers between 3 and 5 minutes, uniformly distributed, to make the walk from the front door to the entrance to the security area; the other two passenger types move instantly from their arrival to the manual or automated check-in counter as the case may be). There are two agents at the manual check-in station, fed by a single FIFO queue; manual check-in times follow a triangular distribution between 1 and 5 minutes with a mode of 2 minutes. After manual check-in, passengers walk to the security area, a stroll that takes them be- tween 2.0 and 5.8 minutes, uniformly distributed. The automated check-in has two sta- tions (a station consists of a touch-screen kiosk and an employee to take checked bags; view a kiosk-employee pair as a single unified unit, that is, the kiosk and its employee cannot be separated), fed by a single FIFO queue, and check-in times are triangularly distributed between 0.5 and 1.5 with a mode of 1. After automated check-in, passengers walk to the security area, taking between 1 and 3 minutes, uniformly distributed, to get there (automated check-in passengers are just quicker than manual check-in passengers at everything). All passengers eventually get to the security area, where there are six stations fed by a single FIFO queue; security-check times are triangularly distributed between 1 and 6 with a mode of 2 (this distribution captures all the possibilities there, like x-ray of carry-ons, walking through the metal detector, bag search, body wanding, shoes off, laptop checking, etc.). Once through the security check (everybody passes, though it takes some longer than others to do so), passengers head to their gates and are no longer in our model. Simulate this system for one replication of an 8-hour period and look at the average queue lengths, average times in queue, resource utilizations, and average total time in system of passengers (for all passenger types combined). Animate your model, including queues, resources, and passengers walking to security. Put in plots that track the length of each of the three queues over the 8-hour simulation (either three separate plots or three curves in a single plot). Put a text box in your model sum- marizing all the requested results.