Abstract
A general solution for the efficiency of a single winding spindle is given, where the patrolling time of the automatic knotting unit may be less than the unwinding time of the supply bobbin. Constant supply bobbin unwinding times and random yarn breaks are assumed in obtaining the solution, which is modified to allow for "doffing" and servicing times.
The case where different winding spindles are allocated to supply bobbins having different unwinding times is considered, and the patrolling time giving the maximum combined spindle efficiency is determined by means of a simple arithmetic technique.
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