Exam 18: A: Waiting-Line Analysis

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In a single-server system,the utilization is equal to the average arrival rate divided by the average service rate.

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Which of these would increase server utilization?

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In an infinite source model,the server utilization is the ratio of the average arrival rate to the service capacity.

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The basic multiple-server-with-priority queuing model assumes that:

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What is the average machine downtime with two operators?

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

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

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What is the expected average number of cars in the system?

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A single phase queuing system is one which has a single:

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

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For infinite source models,which of the following will equal the average time a customer is in the system? I.Average number in the system divided by the arrival rate II.Average number in the system multiplied by the arrival rate III.Average time in line plus average service time

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Customers arrive at a video rental desk at the rate of one per minute (Poisson).Each server can handle .40 customers per minute (Poisson). (i)If there are four servers,determine: 1)The average time it takes to rent a video tape 2)The probability of three or fewer customers in the system (ii)What is the minimum number of servers needed to achieve an average time in the system of less than three minutes?

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The following questions refer to this data for a multiple server, priority service queuing model: The following questions refer to this data for a multiple server, priority service queuing model:    -What is server utilization? -What is server utilization?

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For how many tellers should the system be designed if the managers want the average time a customer spends in the drive up system to be no more than 5 minutes?

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The goal of queuing analysis is to minimize:

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

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The most commonly used queuing models assume a service rate that follows an exponential distribution.

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If customers are homogeneous (similar needs),then separate waiting lines for each server are preferable.

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A queuing system has four work stations with three workers to staff each station.To analyze this system,the number of "servers" is:

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Why is there waiting in a queue even if the service capacity exceeds the average demand on the system ?

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