Abstract
To resolve multi-user conflict on a communication channel, a slotted access protocol selects one of the intended messages for transmission in each transmission session. For an easily implementable protocol, often the process of selecting a message for transmission is logically equivalent to the selection according to a predetermined priority ordering among all possible messages. Let a protocol of this characteristic be called a priority protocol. Under a multi-channel priority protocol, all intended messages simultaneously contend for the transmission over every individual channel. The multi-channel capacity is fully utilized when every channel transmits a different message. When the quantity of intended messages is large enough, it is possible to associate each channel with a different priority ordering on messages so that the multi-channel capacity is always fully utilized. This article determines the level of the quantity of intended messages that is necessary and sufficient for this purpose.
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