Explain why a customer would likely prefer a single line n


Waiting line: This summer, some of you undoubtedly found yourself standing in line to buy a ticket to enter a theme park. At many theme parks, separate lines form in front of each open ticket window. Contrast this configuration with the popular single-line, multiple-server system (ie, model 3) we see in use at banks, airports, etc. Suppose that your favorite theme park has N ticket booths. Further assume that each booth is staffed by one of the park's equally-proficient ticket-takers, who each process tickets at average rate of ??(mu) tickets/hr. Each hour, an average of ? (lamda) customers arrive to buy tickets. You may assume that Lamda < N*mu. Explain why a customer would likely prefer a single line, N server (channel) system over N-single server systems like those used by many theme parks. Support your answer with an example and the appropriate summary statistics.

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