4.8. Consider M/M/1/c system with a server that has exponential time between break- downs and exponential repair times. Develop the rate-node diagram that connects the states of this system. Given an arrival rate of 5 jobs per hour, a service rate of 7 jobs per hour, a breakdown rate of once per hour and a mean repair time of 10 minutes, determine the steady-state probabilities for the system states and compute the system performance mea- sures of WIPs, CT,, and ths. Compare these performance results with those obtained by applying the breakdown adjustments of Eqs. (4.3) and (4.4). E[TS] E[T] and (4.3) ce=C[7] = c + (1+C?(R1])a(1-a)E(R1) (4.4) ET:] a 4.8. Consider M/M/1/c system with a server that has exponential time between break- downs and exponential repair times. Develop the rate-node diagram that connects the states of this system. Given an arrival rate of 5 jobs per hour, a service rate of 7 jobs per hour, a breakdown rate of once per hour and a mean repair time of 10 minutes, determine the steady-state probabilities for the system states and compute the system performance mea- sures of WIPs, CT,, and ths. Compare these performance results with those obtained by applying the breakdown adjustments of Eqs. (4.3) and (4.4). E[TS] E[T] and (4.3) ce=C[7] = c + (1+C?(R1])a(1-a)E(R1) (4.4) ET:] a