Curiously, a slightly different version of the same circuit has been posted in another thread.
However, the contributor didn't manage to clarify, how the switches are controlled in the circuit. My assumption has been (and still is), that to operate the circuit in a meaningful way, the comparator output must control the switch timing. Otherwise the integrator output would run into saturation, either positive or negative.
Your circuit can't operate because of inappropriate supply voltages. Particularly, the comparator threshold is outside of the integrator's output voltage range. I wonder, if there are more drawing errors or missing details related to the original circuit.