**6. Numerical example on evaluating the universal origin-destination matrix and generating passenger origin-destination pairs from it**

This section presents a practical numerical example on developing the universal original-destination matrix.

#### **6.1 The arrangement**

A building has three entrance floors (B2, B1 and G) and six occupant floors (G, L1, L2, L3, L4 and L5). The ground floor (G) has a dual function, hence that is why is appears in both lists. The percentage arrival rates from the three entrances are 0.1, 0.2 and 0.7 from B2, B1 and G respectively. The percentage populations of the occupant floors are: 30%, 20%, 15%, 15%, 10% and 10% for the occupant floors G, L1, L2, L3, L4 and L5, respectively. All the building details are shown in **Table 4**. It is required that the overall origin–destination matrix be developed based on a traffic mix of 40%:30%:20%:10% of incoming, outgoing, inter-floor and inter-entrance traffic, respectively.

It is worth noting that the ground floor in this case is a dual function floor: it is an entrance floor and an occupant floor simultaneously. This is the sort of example that requires a universal OD matrix, whereby any floor can be an entrance and an occupant floor at the same time.

The next step is to create the initial values of the four distinct matrices: the incoming traffic matrix, the outgoing traffic matrix, the inter-floor matrix and the inter-entrance. These are shown below:


**Table 4.**

*Generalised representation of traffic for a building depending on the traffic mix.*

*A Universal Methodology for Generating Elevator Passenger Origin-Destination Pairs… DOI: http://dx.doi.org/10.5772/intechopen.93332*
