Abstract

The origin-destination matrix is a two-dimensional matrix that describes the probability of a passenger travelling from one floor in the building to another. It is a two-dimensional square matrix. The row index denotes the origin floor and the row index denotes the destination floor for the passenger journey. A previous chapter described the methodology for constructing the origin-destination matrix (OD matrix) from the user requirements. However, that chapter placed the restriction that any floor must either be assigned as an entrance floor or an occupant floor, but not both. This chapter relaxes this restriction and shows a method for developing the origin-destination matrix that allows any floor to either be an entrance floor; an occupant floor; or both. The origin destination matrix can be compiled using three sets of parameters: the mix of traffic (incoming traffic, outgoing traffic, inter-floor traffic; and inter-entrance traffic); the floor populations; and the entrance percentage bias (i.e., the relative strength of the arrivals at the entrance floors). The origin-destination matrix can be used for the generation of random passenger origin-destination pairs (which is necessary when using the Monte Carlo Simulation (MCS) method to calculate the round-trip time or in elevator traffic software).

Highlights

  • In an elevator traffic system within a building, the origin-destination matrix is a compact-concise tool that is used to clearly describe the probability of a passenger travelling from one floor in the building to another

  • This paper has presented a systematic methodology for converting the user requirement specification into an origin-destination matrix

  • The origin destination matrix is a compact concise form for expressing the passenger movements within the building. It has been used for generating random passenger destinations for calculating the round-trip time using the Monte Carlo simulation method of within elevator traffic simulation software, an example of which is shown at the end of the paper

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Summary

Introduction

In an elevator traffic system within a building, the origin-destination matrix is a compact-concise tool that is used to clearly describe the probability of a passenger travelling from one floor in the building to another. The origin-destination matrix is used to generate passengers with origin and destination pairs to be used in finding the round-trip time using Monte Carlo simulation This can be done for both calculation and simulation [1]. The origin–destination matrix can be used to derive the probabilities of any type of event taking place in a round trip (e.g., the probability of a journey taking place between the third and sixth floors without stopping at the fourth and fifth floors) Deriving these probabilities is critical to deriving equations for evaluating the round-trip time.

Types of floors
Types of traffic
Description of the traffic in a building
Finding the initial values of the four OD matrices
Adjusting the four OD matrices
Finding the final OD matrix from the four OD matrices
The arrangement
The incoming traffic matrix
Finding the final overall OD matrix
Converting the PDF to a CDF
Generating a number of passenger origin-destination pairs from the CDF
Verification
Conclusions
Set the Parameters
Convert the PDF to a CDF
Background
Generate Passenger origin–destination pairs for P passengers
Findings
Set up a Counter and apply it to the CDF to find the origin–destination pair
Full Text
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