Question: Consider a simple single-server queueing system with arrival rate = 48 entities/hour and service rate=60 entities/hour 10000 Arrivals Departures (=48/hour) Service (60/hour) Model Assumptions:

Consider a simple single-server queueing system with arrival rate  = 48 entities/hour and service rate  = 60

Consider a simple single-server queueing system with arrival rate = 48 entities/hour and service rate=60 entities/hour 10000 Arrivals Departures (=48/hour) Service (60/hour) Model Assumptions: The arrival process is Poisson (i.c., the interarrival times are exponentially distributed and independent of each other), The service times are exponential and independent, Queue has infinite capacity, The queue discipline will be First-in-First-out (FIFO), Create the model in SIMIO, run the model for 10 hours, and then find the following performance measures of the system a) Determine the Distribution of the arrivals and the processing time b) The number of entities in the queue (average and maximum) c) The time an entity spends in the queue (average and maximum) d) Utilization of the server e) Compare the number of arrived (created) entities and departured (destroyed) entities, what do you conclude? Run the model for 9 and 11 hours and report the results and your finding.

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To analyze the queuing system lets consider the MM1 queueing model since the arrival process and service times are exponentially distributed Given dat... View full answer

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