Question: Consider a Jackson network with three service facilities having the parameter values shown below. p ij Facility j j a j i=1 i=2 i=3 j

Consider a Jackson network with three service facilities having the parameter values shown below.

pij
Facility j j aj i=1 i=2 i=3
j=1 3 1 0 0.2 0.4
j=2 4 2 0.3 0 0
j=3 4 1 0.6 0.8 0

  1. Draw state diagram. (5 pts)
  2. Find arrival rates at each of the facilities. (15 pts)
  3. Find the minimum number of facilities for each service provider. (5 pts)
  4. Assigning minimum number of facilities find the expected total number of customers and total waiting time in the system. (12 pts)

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