Question 71) A queuing system with a normally distributed arri

71) A queuing system with a normally distributed arrival pattern, exponential service times, and three servers would be described as

A) G/G/3.

B) M/M/3.

C) G/M/3.

D) M/G/3.

E) N/E/3.

72) The initial state of a queuing system (for example, when a restaurant first opens), is referred to as the ________ state.

A) steady

B) primary

C) introductory

D) transient

E) start-up

73) A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. What type of queuing model applies here?

A) M/M/1

B) M/M/2

C) M/D/2

D) M/D/1

E) M/G/1

74) A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an normal distribution. What type of queuing model applies here?

A) M/M/1

B) M/M/2

C) M/D/2

D) M/D/1

E) M/G/2

75) A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks. What is the average length of the line?

A) 3.429

B) 1.929

C) 1.143

D) 0.643

E) None of the above

76) A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks. How long does the average person spend waiting for a clerk?

A) 3.429 minutes

B) 1.929 minutes

C) 1.143 minutes

D) 0.643 minute

E) None of the above

77) A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks. What proportion of time are both clerks idle?

A) 0.643

B) 0.250

C) 0.750

D) 0.143

E) None of the above

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