SOLVED

7) A waiting line model meeting the assumptions of M/M/1 has an arrival rate of 2 per hour and a service rate of 6 per hour. What is the utilization factor for the system? A) 0.25 B) 0.33 C) 0.50 D) 0.67 E) 3.00 8) Which one of the following is NOT a characteristic of a Model A or M/M/1 system? A) exponential service time pattern B) single number of servers C) single number of phases D) Poisson arrival rate pattern E) limited population size 9) Which one of the following is NOT a characteristic of a Model B or M/M/S system? A) unlimited population size B) single server C) exponential service time pattern D) single phase E) Poisson arrival rate pattern 10) Which one of the following is NOT a characteristic of a Model C or M/D/1 system? A) single server B) single phase C) Poisson arrival rate pattern D) exponential service time pattern E) unlimited population size 11) In the basic queuing model (M/M/1), what probability distribution describes service times? A) binomial B) negative exponential C) Poisson D) normal E) lognormal 12) In the basic queuing model (M/M/1), what probability distribution describes arrival rates? A) continuous B) normal C) negative exponential D) Poisson E) lognormal 13) A single-phase waiting-line system meets the assumptions of constant service time or M/D/1. Units arrive at this system every 10 minutes on average. Service takes a constant 4 minutes. What is the average length of the queue Lq in units? A) 0.4 B) 0.133 C) 4.167 D) 4.583 E) 6 14) Which of the following is NOT an assumption of the M/M/1 model? A) The first customers to arrive are the first customers served. B) Each arrival comes independently of the arrival immediately before and after that arrival. C) The population from which the arrivals come is very large or infinite in size. D) Customers do not renege. E) Service times occur according to a normal probability distribution. 15) A single-phase waiting-line system meets the assumptions of constant service time or M/D/1. Units arrive at this system every 12 minutes on average. Service takes a constant 8 minutes. What is the average length of the queue Lq in units? A) 0.67 B) 2.5 C) 4.5 D) 5.0 E) 7.5 16) A single-phase waiting-line system meets the assumptions of constant service time or M/D/1. Units arrive at this system every 12 minutes on average. Service takes a constant 8 minutes. What is the average number in the system Ls in units? A) 2.25 B) 2.5 C) 3.0 D) 1.33 E) 5.0