Abstract: Methods and apparatus are disclosed for controlling the initiation or termination of at least one function in timed relationship to the occurrence of an event. The invention is particularly useful in conjunction with the operation of a cigarette making machine, for example, where it is desired that the supply of cork-tipped paper and filter plugs, for example, be held off after the machine has started until such time as they are in fact required to be introduced in order to make the finished cigarette. A clock pulse generator provides a train of clock pulses which occur one after the other in sequential, spaced apart relationship. The clock pulse generator is activated in response to the occurrence of an event.