Question: Please use the information below to answer the question: Find: a) Derive the stability condition. b) Compute the expected number of customers in the network

Please use the information below to answer the question:

Please use the information below to answer the

Find:

a) Derive the stability condition.

b) Compute the expected number of customers in the network

c) Compute the fraction of time the network is completely empty.

d) Explain one industrial example of this flow system, and illustrate for it specifically the design and control value of each of the answers (a) to (c)

4. Consider a Jackson network of single server queues shown in the figure below ("Linear Flow with Local Rework"). External arrival process is PP (Poisson Process) and service times are distributed exponentially p p H1 1-p u2 O 1-p UN a) Derive the stability condition. b) Compute the expected number of customers in the network. c) Compute the fraction of time the network is completely empty. d) Explain one industrial example of this flow system, and illustrate for it specifically the design and control value of each of the answers (a) to (c)

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