Transcript Building Elevator System Simulation

© 2012 ~ Mark Polczynski
All rights reserved
[email protected]
Building Elevator System
Simulation
Building Elevator System Simulation
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It is assumed that you already have a basic understanding of how to:
•
Use Arena modules, resources, variable, etc.
•
Construct Arena simulation models using these elements.
The focus of this tutorial is on how models work,
not on how these model elements work.
Building Elevator System Simulation
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Audiences:
•
Modelers interested in expanding their
modeling repertoire.
•
Elevator system designers:
•
Developing and optimizing elevator control schemes,
•
Predicting elevator system performance.
Models are capable of predicting performance measures such as:
•
Passenger waiting times,
•
Passenger traveling times.
Building Elevator System Simulation
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What do you need before applying the models?
What you need to specify:
1. Number of floors in the building,
2. Number of elevator cars in the system.
What you need to measure or estimate:
1. Rate at which passengers enter the building
(passengers per minute).
2. Proportion of passengers that travel to various floors in
the building (e.g. 50% from Floor 1 to Floor 2,etc).
3. Time that people spend at each floor in the building.
4. Elevator car travel time.
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Final Disclaimer
What our models simulate:
•
How elevator cars move between floors
to pick up and drop off passengers.
What our models don’t simulate:
•
How passengers enter and leave cars, e.g. opening and
closing of elevator car doors.
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Modeling elevator system parameters – 1
•
•
•
Passenger arrival rates (minutes):
•
Customers: Exp(5)
•
Employees: Exp(1)
Time spent at floor (hours  value added time):
•
Customers: Tria(.5, 1, 1.5)
•
Employees: Tria(6, 8, 10))
Car travel time (seconds  transfer time):
•
(10 + 5 * (number of floors traveled – 1))
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Modeling elevator system parameters – 2
•
Number of cars: 2
•
Number of floors : 3
•
Number of passengers:
•
•
Customers: 80
•
Employees: 40
First creation time:
•
Customers: 8:00 AM
•
Employees: 7:45 AM
•
Passenger wait time: Result (hours  non value added time)
•
Replication parameters:
•
Replication length = 24 hours
•
Number of replications = 100
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Travel between floors
Customers
To
1
2
3
Depart
From
1
10%
20%
20%
50%
2
20%
10%
20%
50%
Employees
To
1
2
3
Depart
From
1
0%
0%
0%
1000%
3
20%
20%
10%
50%
Arrive
33%
33%
33%
1%
2
0%
0%
0%
100%
Building Elevator System Simulation
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0%
0%
0%
100%
Arrive
40%
30%
30%
0%
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Elevator System Models
ES01: Movement of passengers only.
ES02: Movement of passengers and cars.
ES03: Cars pick up and drop off passengers.
ES04:
ES05:
Building Elevator System Simulation
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To
1
2
3
Depart
From
1
0%
0%
0%
1000%
2
0%
0%
0%
100%
3
0%
0%
0%
100%
Arrive
40%
30%
30%
0%
Customers
Employees
To
1
2
3
Depart
From
1
10%
20%
20%
50%
Building Elevator System Simulation
2
20%
10%
20%
50%
3
20%
20%
10%
50%
Arrive
33%
33%
33%
1%
10
Customers
To
1
2
3
Depart
From
1
10%
20%
20%
50%
2
20%
10%
20%
50%
3
20%
20%
10%
50%
Arrive
33%
33%
33%
1%
Customer
initial
floor
Customer
next
floor
Employees
To
1
2
3
Depart
From
1
0%
0%
0%
1000%
2
0%
0%
0%
100%
3
0%
0%
0%
100%
Arrive
40%
30%
30%
0%
Building Elevator System Simulation
Employee
initial
floor
11
Cumulative probability that the
value will be equal to Value 1
First customer floor = DISC(Probability 1, Value 1,
Probability 2, Value 2...)
Floor number
Probability of
moving to floor
Customer Initial floor
variable array
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Customer initial floor
First customer floor = DISC(
Customer initial floor(1,1), 1,
Customer initial floor(2,1), 2,
Customer initial floor(3,1), 3,
Customer initial floor(4,1), 0)
Departing
First employee floor = DISC(
Employee initial floor(1,1), 1,
Employee initial floor(2,1), 2,
Employee initial floor(3,1), 3,
Employee initial floor(4,1), 0)
Building Elevator System Simulation
Employee
initial
floor
13
Next customer floor = DISC(
Customer next floor(1,Current floor), 1,
Customer next floor(2,Current floor), 2,
Customer next floor(3,Current floor), 3,
Customer next floor(4,Current floor), 0)
What’s
this?
Customer
next
floor
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Passenger
floor
selection
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Next
customer
floor
Customer
visiting
time
Depart
from
building
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Customers
To
1
2
3
Depart
From
1
10%
20%
20%
50%
Employees
2
20%
10%
20%
50%
3
20%
20%
10%
50%
Arrive
33%
33%
33%
1%
To
1
2
3
Depart
Building Elevator System Simulation
From
1
0%
0%
0%
1000%
2
0%
0%
0%
100%
3
0%
0%
0%
100%
Arrive
40%
30%
30%
0%
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