Unique SMPS problem periodic temporary failures

I am facing an interesting issue with my CPU at office. Whenever I remove the plugs from the socket and try to turn on the CPU, the CPU doesn’t turn on. Then I called the service team. They came after a day and when they came and pressed the power button it simply powered on! I had to think whether I was really experiencing problem or not. This problem happened recently again when I had removed the plugs to move the table. The same sequence repeated. No matter how many times I press the button CPU didn’t turn on but when the service Person came, it simply turned on! That was awful experience. Has anybody faced this kind of issue? Please share the solutions to repeat the problem again