Just an old rule of thumb in the Tire Industry:
You want no more than 10% increase in pressure between *cold* and operating pressure. This does not include any pressure increase due to ambient temperature increases, nor those from elevation changes.
If you experience more than that you need to make some changes. Temporarily, slow down. That lowers the rate of heat generation. For the long term, a tire with a larger load carrying capacity - meaning more pressure and/or a size increase.
If you experince more than a 15% increase, you need to do something immediately.
