In the multichannel communication network, more than one message can be transmitted in parallel through several channels. This paper defines response time as the time from the origination of a transmission request to the transmission completion, and discusses the time complexity in estimating the maximum response time in the multichannel communication network. The messages are transmitted in the network using simultaneously a set of channels (called a channel set). In the transmission of a message, a request may be issued for one or more channel sets. It is shown that the computational complexity is either polynomial or NP‐hard, depending on the number of requested channel sets.
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