Exam 25: Waiting-Line Analysis

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The cost of customers waiting is always greater than the cost of increasing service capacity.

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The reciprocal of the average rate of arrivals is the average interarrival time.

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Compared to a single server system with exponential service time,the same system with a constant service time will have an average of one-half the number of customers waiting in the system.

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A bank of ten machines requires regular periodic service.Machine running time and service time are both exponential.Machines run for an average of 44 minutes between service requirements,and service time averages 6 minutes per machine. What is the average machine downtime with two operators?

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A multiple server system has customers arriving at an average rate of five per hour and an average service time of forty minutes.The minimum number of servers for this system to be underloaded is:

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A multiple server queuing system has a Poisson arrival rate of 9 per hour and exponential service time averaging 5 per hour.Server cost is $100 per hour and the cost of waiting is $360 per hour.Based on total cost,how many servers should be staffed?

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Which of the following is not a disadvantage of a single line for a multiple server queuing system?

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The following questions refer to this data for a multiple server,priority service queuing model: 11eab92b_c474_e9c0_99e6_1542e063064b

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Typically customers will perceive waiting times to be less if the line continues to move.

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A bank of ten machines requires regular periodic service.Machine running time and service time are both exponential.Machines run for an average of 44 minutes between service requirements,and service time averages 6 minutes per machine. If operators cost $15 per hour in wages and fringe benefits and machine downtime costs $75 per hour in lost production,what is the optimal number of operators for this bank of machines?

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Average service rate is the reciprocal of the average service time.

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Having separate lines for customers that are heterogeneous (different needs)can reduce the variability of service times.

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A multiple server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 4 customers per hour and an average service time of 18 minutes per customer.The minimum number of servers required to avoid an overloaded system is:

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The goal of queuing analysis is to minimize the cost of customers having to wait.

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A bank of ten machines requires regular periodic service.Machine running time and service time are both exponential.Machines run for an average of 44 minutes between service requirements,and service time averages 6 minutes per machine. What is the probability that a machine will have to wait for service with two operators?

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Compared to a single server system with exponential service time,a single server system with a constant service time causes a reduction of 50 percent in the average number waiting in line.

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In an infinite source model,the average number being served is equal to the ratio of the average arrival rate to the average service rate.

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Which one of the following measures of system performance is a key measure?

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The goal of queuing analysis is to minimize:

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The goal of queuing analysis is to minimize the length of customer waiting lines.

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