SOLVED

17) A queuing model that follows the M/M/1 assumptions has λ = 2 and μ = 3. What is the average number of units in the system? A) 2/3 B) 1 C) 1.5 D) 2 E) 6 18) A queuing model that follows the M/M/1 assumptions has λ = 3 and μ = 2. What is the average number of units in the system? A) -3 B) 3 C) 0.667 D) 150 percent E) Growing without limit, since λ is larger than μ. 19) Students arrive randomly at the help desk of the computer lab. There is only one service agent, and the time required for inquiry varies from student to student. Arrival rates have been found to follow the Poisson distribution, and the service times follow the negative exponential distribution. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. On average, how long does it take to service each student? A) 1 minute B) 2 minutes C) 3 minutes D) 5 minutes E) 20 minutes 20) A queuing model that follows the M/M/1 assumptions has λ = 10 and μ = 12. What is the average number of units in the system? A) 0.83 B) 2 C) 2.5 D) 5 E) 6 21) A queuing model that follows the M/M/1 assumptions has λ = 2 and μ = 8. The average number in the system Ls is ________ and the utilization of the system is ________. A) 3; 100 percent B) 0.33; 25 percent C) 4; 33 percent D) 6; 25 percent E) 4; 25 percent 22) Four of the most widely used waiting line models—M/M/1 or A, M/M/S or B, M/D/1 or C, and Limited population or D–all share which of the following three characteristics? A) normal arrivals, FIFO discipline, and normal service times B) Poisson arrivals, FIFO discipline, and a single-service phase C) Poisson arrivals, FIFO discipline, and exponential service times D) Poisson arrivals, no queue discipline, and exponential service times E) Poisson arrivals, single-server, and FIFO discipline 23) A queuing model that follows the M/M/1 assumptions has λ = 2 and μ = 3. What is the average time in the system? A) 2/3 B) 1 C) 1.5 D) 2 E) 6 24) Students arrive randomly at the help desk of the computer lab. There is only one service agent, and the time required for inquiry varies from student to student. Arrival rates have been found to follow the Poisson distribution, and the service times follow the negative exponential distribution. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. What is the utilization factor? A) 20% B) 30% C) 40% D) 50% E) 60% 25) A finite population waiting line model has an average service time T of 100 minutes and an average time between service requirements U of 400 minutes. What is the service factor X? A) 0.20 B) 0.25 C) 4 D) 5 E) 300 minutes 26) A finite population waiting line model has an average service time T of 200 minutes and an average time between service requirements U of 300 minutes. What is the service factor X? A) 0.20 B) 0.40 C) 0.60 D) 0.67 E) 2.5