Proteus VSM (Virtual System Modeling) does not operate in real-time, at least not on even very high end desktop computers. The simulation is very processor-intensive, as you would notice if you brought up Windows Task Manager while the simulation is running. Depending on your computer's capabilities and the number of active simulation elements in your design, the actual simulation speed varies widely.
One way to estimate how much slower than real-time the simulator works, is to incorporate a loop (not a timer ISR) in your simulated microcontroller code, that flips some GPIO once every so many counts. Let's say we set this period to be around a tenth of a second in real-time, by counting clock cycles of code.
So, if the simulation flips that bit once every 20 seconds, the simulation is running at 1/200th of real-time.
Add a couple of active simulation elements to the design, then run the simulation again and watch the bit-flipping, to see how much slower it gets.
That being said, there isn't actually any practical way to achieve true real-time simulation of any non-trivial Proteus design, with present-day consumer hardware. By throwing enough processing power at it, perhaps by overclocking your PC massively, real-time might be feasible, but I wouldn't hold my breath on it.
Best Answer
What you want to do is called a monte carlo simulation, LT Spice is limited here compared to comercial products as, as far as I know, only 3 parameters can be varied at the same run, but to me it always was sufficient.
just googled a tutorial: http://electronicsbeliever.com/monte-carlo-simulation-using-ltspice-step-by-step-tutorials/
but you will find many more...