how compressor vehicle engine work

Well, yes it is a type of compressor for it is generaly called Four Stroke cycle reciprocating engine.

1) Induction Cycle. The intake valve opens, the piston moves down sucking in a mix of fuel & air ( 14air/1fuel) , piston moves all the way down to BDC(Bottom Dead Centre).

2) Compression Cycle. Both valves r closed, Piston moves up compressing the fuel/air mixture till TDC(Top Dead Centre).

3) Power Cycle . A spark is produced & the fuel/air mixture is burnt rapidly sending the piston back down.

4) Exhaust Cycle . The Exhaust valve opens & the piston moves back up to expel the burnt gases.

Thus ur 4 Stroke Cycle.

kompressor is just a engine built to go with a supercharger.
l prefer Turbochargers as they use waste exhaust gasses to turn the charger,super chargers run off the crankshaft,and can use some horsepower.Both can make a normal weak engine run better and lower fuel mileage.

The compressor is a mechanical air pump mounted on the engine powered by the crankshaft through the drive belt.In a normally aspirated engine the air is sucked into the combustion chamber by the suction created by the piston going down[suction stroke] In a compressor[supercharger] engine there is compressed air in the intake manifold and as soon as the intake valve opens air is forced into the comustion chamber.This improves the performance of the engine.

http://auto.howstuffworks.com/supercharger5.htm