Pedestrians may have a different desired speed on a stair than on a horizontal plan. Therefore, it is necessary to calculate a "smooth" transition in the desired speed, when pedestrians move on planes with a different inclination. In this way "jumpy" changes in the desired speed are avoided.

Definitions

Assume the following scenario, with two horizontal planes and a stair, where and the inclination of the stair .

Speed curve in the transition area between levels and stairs

The agent has a desired speed on the horizontal plane and a different desired speed on the stair .

Given a stair connecting two hirozontal floors, we define the following functions:

and

Increasing function $$f(z)$$ and decreasing function $$g(z)

Function of the desired speed

Taking the previously introduced quantities into consideration, we can define the desired speed od the agent with respect to its component as

is a constant.

The following figure shows the changes of the desired speed with repsect to the inclination of the stair . The steepter the inclination of the stair, the faster is the change of the desired speed.

Transition area of levels and stairs

Tags: jpscore model