Pois
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The document summarizes the performance of a queuing system called "poissoned" with the following characteristics: - It has an M/M/2/7 queuing system configuration with a customer arrival rate of 50,000 per hour and a service rate per server of 37,000 per hour. - The overall system utilization is 65.79% with an average of 2.0711 customers in the system and 0.7552 customers in the queue. - A customer spends on average 0.0425 hours or 2.55 minutes in the system with 0.0155 hours or 0.93 minutes in the queue.
Pois
- 1. System Performance Summary for poissoned 11-12-2013 Performance Measure Result 00:37:59 1 System: M/M/2/7 From Formula 2 Customer arrival rate (lambda) per hour = 50,0000 3 Service rate per server (mu) per hour = 37,0000 4 Overall system effective arrival rate per hour = 48,6876 5 Overall system effective service rate per hour = 48,6876 6 Overall system utilization = 65,7940 % 7 Average number of customers in the system (L) = 2,0711 8 Average number of customers in the queue (Lq) = 0,7552 9 Average number of customers in the queue for a busy system (Lb) = 1,4524 10 Average time customer spends in the system (W) = 0,0425 hours 11 Average time customer spends in the queue (Wq) = 0,0155 hours 12 Average time customer spends in the queue for a busy system (Wb) = 0,0298 hours 13 The probability that all servers are idle (Po) = 20,4133 % 14 The probability an arriving customer waits (Pw or Pb) = 52,0013 % 15 Average number of customers being balked per hour = 1,3124 16 Total cost of busy server per hour = $0 17 Total cost of idle server per hour = $0 18 Total cost of customer waiting per hour = $0 19 Total cost of customer being served per hour = $0 20 Total cost of customer being balked per hour = $0 21 Total queue space cost per hour = $0 22 Total system cost per hour = $0