More handrails
A certain imperial chemical industrial company I used to work for tried to impose similar must-use-the-handrail rules for employees going up and down stairs. Not holding onto the rail was a "yellow card" offence. (Seriously- all employees were expected to carry a yellow card around with them and shame their colleagues, referee-style, if they spotted them breaking such rules).
All well and good, but the main stairwell only had a single handrail, leaving us in a bit of a pickle if we happened to meet someone coming the other way...