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To clarify this situation, this paper discusses a such production system as a. queueing model. In this system, one operator attends to two lines: a main-line and sub-line. Units to be processed on the main-line (hereafter referred to as units of type 1) are in great demand, and there is an unlimited supply of those in the main-line. While units to be processed on the sub-line (hereafter refereed to as units of type 2) are in temporary demand, and there is a random supply of those in the sub-line. Processing time of each unit, both of type 1 and type 2, has two components: handwork and automatic machining. Upon departure of a unit from a line, a new unit is allowed to enter. The operator is needed only during the handwork portion of each unit's processing, and can walk from one line to the other instantaneously. For such a production system, although the several performance measures can be con­ sidered to answer questions pertaining to the efficiency of the system, our purpose in this paper is mainly to study the output of the main-line and show the relationship between the mean output rate of the main-line and the behavior of the sub-line for the different queueing disciplines.

THE OUTPUT RATE OF A PARALLEL QUEUEING MODEL WITH OVERLAPPING PROCESSING TIME