Course Solutions Uncategorized (Answered) : Consider a service process with 3 servers. On average, customers arrive every 4 minutes. An average customer spends 5 minutes wait

(Answered) : Consider a service process with 3 servers. On average, customers arrive every 4 minutes. An average customer spends 5 minutes wait

Consider a service process with 3 servers. On average, customers arrive every 4 minutes. An average customer spends 5 minutes waiting in line for service and 8 minutes being served. (a) On average, servers are busy at any time serving customers. (b) On average, customers are waiting for service at any time. (C) On average, customers are in the process waiting for service or getting service at any time.

Expert Answer


This is a M/M/s queue model with parameters:

Arrival rate = 60/4 = 15 per hour ,

Service rate = 60/8 = 7.5 per hour

Number of servers, s = 3

Calculation

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