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Open Queuing System - Poisson

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The sketch below shows an open queuing system with three stations. External arrivals to stations one to three occur at the Poisson rates of 5/hr, 7/hr and 10/hr respectively. 70% of the arrivals to workstation 1 leave the system while 30% proceed to work station 2. 10% of the workstation 2 arrivals are recycled back to workstation 1 while 90% proceed to work station 3. 85% complete service at workstation 3 and leave the system while 15% cycle back to workstation 2. The characteristics and service rates for each queue are given in the table below. Compute the number of customers waiting at each work station and the overall average waiting time in the system.

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Opening queuing system for Poisson Distributions are examined.

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The sketch below shows an open queuing system with three stations. External arrivals to stations one to three occur at the Poisson rates of 5/hr, 7/hr and 10/hr respectively. 70% of the arrivals to workstation 1 leave the system while 30% proceed to work station 2. 10% of the workstation 2 arrivals are recycled back to workstation 1 while 90% proceed to work station 3. 85% complete service at workstation 3 and leave the system while 15% cycle ...

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