**6.2 The incoming traffic matrix**


The first matrix to be developed is the incoming traffic matrix, as shown below. **ODic\_ini**

The value of M for the incoming traffic matrix is calculated as shown below:

$$\mathcal{M} = \mathbf{1} - \left(\sum\_{i=1}^{N} (pr\_{ii})\right) = \mathbf{0}.79 \tag{13}$$

Zeroing the diagonal and then dividing all the elements by M gives the final incoming traffic matrix, shown below.

**ODic\_fin**


#### **6.3 The outgoing traffic matrix**

The same process is applied in order to calculate outgoing traffic matrix. **ODog\_ini**



The value of M for the incoming traffic matrix is calculated as shown below:

$$\mathcal{M} = \mathbf{1} - \left(\sum\_{i=1}^{N} (pr\_{ii})\right) = \mathbf{0}.79 \tag{14}$$

Zeroing the diagonal and then dividing all the elements by M gives the final incoming traffic matrix, shown below.

**ODog\_fin**


#### **6.4 The inter-floor traffic matrix**

The same process is applied in order to calculate inter-floor traffic matrix. **ODif\_ini**


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

The value of M for the incoming traffic matrix is calculated as shown below:

$$\mathcal{M} = \mathbf{1} - \left(\sum\_{i=1}^{N} (pr\_{ii})\right) = \mathbf{0.805} \tag{15}$$

Zeroing the diagonal and then dividing all the elements by M gives the final incoming traffic matrix, shown below.

**ODif\_fin**


#### **6.5 The inter-entrance traffic matrix**

The same process is applied in order to calculate inter-entrance traffic matrix. **ODif\_ini**


The value of M for the incoming traffic matrix is calculated as shown below:

$$M = 1 - \left(\sum\_{i=1}^{N} (pr\_{ii})\right) = 0.46\tag{16}$$

Zeroing the diagonal and then dividing all the elements by M gives the final incoming traffic matrix, shown below.


## **ODif\_fin**
