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System 1 An average of 4 0 customers arrive each hour; interarrival times are exponential. Customers must complete three types of service before leaving the

System 1 An average of 40 customers arrive each hour; interarrival times are exponential. Customers must complete three types of service before leaving the system. The first server takes an average of 30 seconds (exponentially distributed) to perform type 1 service. After waiting in line, each customer obtains type 2 service (exponentially distributed with a mean of 1 minute) from a single server. After completing type 2 service, a customer will go to obtain type 3 service (exponentially distributed with a mean of 30 secnds) from a single server. After completing type 3 service, a customer leaves the system. System 2 The arrival process for system 2 is identical to the interarrival process for system 1. In system 2, a customer must complete only one type of service. Service time averages 2.0 minutes and is exponentially distributed. Three servers are available. In which system does a typical customer spend less time? Please justify your answer with your step by step analysis results.

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