Question 51) Lines at banks where customers wait for a teller w

51) Lines at banks where customers wait for a teller window are usually representative of a

A) single-channel, multiphase system.

B) single-channel, single-phase system.

C) multichannel, multiphase system.

D) multichannel, single-phase system.

E) None of the above

52) Which of the following distributions is most often used to estimate the arrival pattern?

A) negative exponential

B) normal

C) Poisson

D) Erlang

E) beta

53) A single automatic car wash with one bay and a cycle time of 2.5 minutes is what type of model?

A) M/M/1

B) M/M/2

C) M/D/2

D) M/D/1

E) M/G/1

54) A single automatic car wash with one bay and a service time that is normally distributed is what type of model?

A) M/M/1

B) M/M/2

C) M/D/2

D) M/D/1

E) M/G/1

55) Which of the following is not an assumption in common queuing mathematical models?

A) Arrivals come from an infinite, or very large, population.

B) Arrivals are Poisson distributed.

C) Arrivals are treated on a first-in, first-out basis and do not balk or renege.

D) Service rates follow the normal distribution.

E) The average service rate is faster than the average arrival rate.

56) The “utilization factor” is defined as the

A) percent of time the system is idle.

B) average percent of time the customers wait in line.

C) average time the service system is open.

D) percent of time that a single customer is in the system.

E) None of the above

57) A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution, while service times follow an exponential distribution. What type of queuing model is exhibited in this problem?

A) M/M/1

B) M/M/2

C) M/D/2

D) M/D/1

E) M/G/1

58) A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, what is the average number of customers in the system?

A) 0.50

B) 4.00

C) 2.25

D) 3.00

E) None of the above

59) A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, what is the average number of customers waiting in line behind the person being served?

A) 0.50

B) 0.75

C) 2.25

D) 3.00

E) None of the above

60) A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, what proportion of the time is the server busy?

A) 0.25

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