1. Building Elevator System Simulation © 2012 ~ Mark Polczynski All rights reserved mhp.techforge@gmail.com 1Building Elevator System Simulation

2. 2 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.

3. Building Elevator System Simulation3 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.

4. Building Elevator System Simulation4 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.

5. Building Elevator System Simulation5 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.

6. Building Elevator System Simulation6 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))

7. Building Elevator System Simulation7 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

8. Building Elevator System Simulation8 Travel between floors Customers Employees

9. Building Elevator System Simulation9 Elevator System Models ES01: Movement of passengers only. ES02: Movement of passengers and cars. ES03: Cars pick up and drop off passengers. ES04: ES05:

10. Building Elevator System Simulation10 Customers Employees

11. Building Elevator System Simulation11 Customers Employees Customer initial floor Customer next floor Employee initial floor

12. Building Elevator System Simulation12 First customer floor = DISC(Probability 1, Value 1, Probability 2, Value 2...) Cumulative probability that the value will be equal to Value 1 Customer Initial floor variable array Customer Initial floor variable array Floor number Probability of moving to floor

13. Building Elevator System Simulation13 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) 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) Employee initial floor Departing

14. Building Elevator System Simulation14 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) Customer next floor What’s this?

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21. Building Elevator System Simulation21 Passenger floor selection

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23. Building Elevator System Simulation23 Customer visiting time Customer visiting time Next customer floor Next customer floor Depart from building

24. Building Elevator System Simulation24 Customers Employees