Exam 18: Management of Waiting Lines

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Why is there waiting in an infinite source queuing system?

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What is the average number of low priority items waiting in line for service?

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

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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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What is the average number of all items waiting in line for service?

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What is the overall average arrival rate?

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A single channel queuing system has an average service time of eight minutes and an average time between arrivals of 10 minutes.The arrival rate is:

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In a theme park like Disney world, reservation systems are a win-lose situation since only those holding reservations are satisfied.

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As the ratio of arrival rate to service rate is increased, which of the following is likely?

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A dental office with two professionals (one dentist, one hygienist) who work together as a team would be an example of a multiple channel system.

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What is the average time that parties without player's cards wait to be seated?

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A single bay car wash with a Poisson arrival rate and an exponential service time has cars arriving an average of 10 minutes apart, and an average service time of four minutes.The system utilization is:

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Customers filter into a record shop at an average of 1 per minute (Poisson) where the service rate is 15 per hour (Poisson). Determine the following: (A) the average number of customers in the system with 8 servers (B) the minimum number of servers needed to keep the average time in the system to under 6 minutes

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The goal of queuing analysis is to balance the cost of providing a level of service capacity with the possible loss of business due to customers leaving the line or refusing to wait.

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Customers arrive at a suburban ticket outlet at the rate of 14 per hour on Monday mornings.This can be described by a Poisson distribution.Selling the tickets and providing general information takes an average of 3 minutes per customer, and varies exponentially.There is 1 ticket agent on duty on Mondays.Determine each of the following: (A) system utilization (B) average number in line (C) average time in line (D) average time in the system

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A queuing system has four crews with three members each.The number of "servers" is:

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What is average time in the system for a high priority item?

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The goal of queuing analysis is to minimize:

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For a system that has a low utilization ratio, decreasing service capacity slightly will have only negligible effect on customer waiting time.

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Queue discipline requires a security presence to maintain order.

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