On Oscillations in the Social Force Model

TL;DR

This paper investigates the conditions under which oscillations occur in the Social Force Model of pedestrian dynamics, identifying parameter relations that prevent oscillations and using this to verify model implementations.

Contribution

It provides a detailed analysis of oscillation conditions in the Social Force Model and offers guidelines to prevent them, enhancing model reliability.

Findings

Oscillations depend on specific parameter choices.

Certain parameter relations can exclude oscillations.

Verification of model implementation is achieved through oscillation analysis.

Abstract

The Social Force Model is one of the most prominent models of pedestrian dynamics. As such naturally much discussion and criticism has spawned around it, some of which concerns the existence of oscillations in the movement of pedestrians. This contribution is investigating under which circumstances, parameter choices, and model variants oscillations do occur and how this can be prevented. It is shown that oscillations can be excluded if the model parameters fulfill certain relations. The fact that with some parameter choices oscillations occur and with some not is exploited to verify a specific computer implementation of the model.