The average waiting time for a single channel, two-phase system will be the same as a two-channel, single phase system as long as the arrival and service distributions are identical.

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The average waiting time in a queueing system is influenced by the system's configuration (single channel, two-phase vs. two-channel, single phase) and the service and arrival rates. Even with identical arrival and service distributions, the structure of the system (number of phases and channels) affects how quickly and efficiently customers or items are processed, leading to different average waiting times.

The Average Waiting Time for a Single Channel, Two-Phase System