Question: Use queueing theory, not Simio, for this problem set. In the following systems assume that each server is capacity and all times are exponential distributions.

Use queueing theory, not Simio, for this problem set. In the following systems assume that each server is capacity and all times are exponential distributions. State any other assumptions you make. For each of the following systems answer the questions and complete the following table: Is this a stable system? If not, why not. If it is a stable system, estimate the Utilization of each server. If it is a stable system, estimate the overall Number in System and Time in System (in hours) a) Serial system: Arrivals 10 hour; Server A service rate 20/hour; ServerB service rate 15/hour b) Serial system: Arrivals 60/hour. ServerA service time 1.1 minute; Server service time 0.5 minutes c) Parallel system: Arrivals 60/hour, ServerA service time 1.1 minute: Server service time 0.5 minutes Server A Server B System Time in Utilization Number in System Utilization Number in System Stable or Time in system Not Stable System a) b) c) Use queueing theory, not Simio, for this problem set. In the following systems assume that each server is capacity and all times are exponential distributions. State any other assumptions you make. For each of the following systems answer the questions and complete the following table: Is this a stable system? If not, why not. If it is a stable system, estimate the Utilization of each server. If it is a stable system, estimate the overall Number in System and Time in System (in hours) a) Serial system: Arrivals 10 hour; Server A service rate 20/hour; ServerB service rate 15/hour b) Serial system: Arrivals 60/hour. ServerA service time 1.1 minute; Server service time 0.5 minutes c) Parallel system: Arrivals 60/hour, ServerA service time 1.1 minute: Server service time 0.5 minutes Server A Server B System Time in Utilization Number in System Utilization Number in System Stable or Time in system Not Stable System a) b) c)

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