Complex sentence: In a TRS, individual transmissions in any conversation may take place on several different channels, much as if a family of shoppers checked out all at once, they may be assigned different cashiers by the traffic manager.
Split into simpler sentences: In a TRS, individual transmissions in any conversation may take place on several different channels. In the shopping analogy, this is as if a family of shoppers checks out all at once and are assigned different cashiers by the traffic manager.