Exam 11: Queuing models

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A system has one service facility that can service 10 customers per hour The customers arrive at an average rate of 6 per hour In this case,no waiting line will form

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A small popular restaurant at an interstate truck stop provides priority service to truckers.The restaurant has ten tables where customers may be seated.The service time averages 40 minutes once a party is seated.The customer arrival rate is 12 parties per hour,with the parties being equally divided between truckers and non-truckers. -On average,how many parties of non-truckers are waiting to be seated?

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Managers who oversee queueing systems are usually concerned with how many customers are waiting and how long they will have to wait

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The exponential distribution will always provide a reasonably close approximation of the true service-time distribution

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The term queue discipline refers to:

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Customers arrive at a suburban ticket outlet at the rate of 14 per hour on Monday mornings (exponential interarrival times). 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. -What is the average number of customers waiting in line?

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Which of the following is not an assumption of a multiple priority queueing model?

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Customers filter into a record shop at an average of 1 per minute (exponential interarrivals) where the service rate is 15 per hour (exponential service times). -What is the average number of customers in the system with 8 servers?

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

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The only distribution of interarrival times that fits having random arrivals is the exponential distribution

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The most commonly used queueing models assume a service rate that is exponential

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Customers filter into a record shop at an average of 1 per minute (exponential interarrivals) where the service rate is 15 per hour (exponential service times). -What is the system utilization factor if 5 servers are used?

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A single-server queueing system has an average service time of 16 minutes per customer,which is exponentially distributed The manager is thinking of converting to a system with a constant service time of 16 minutes The arrival rate will remain the same The effect will be to:

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Customers arrive at a video rental desk at the rate of one per minute (exponential interarrival times). Each server can handle 0.4 customers per minute (exponential service times). -If there are 4 servers,what is the average time it takes in minutes to rent a videotape?

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The goal of queuing analysis is to minimize customer waiting lines

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In a preemptive priority system,the lowest-priority customer being served is ejected back into the queue whenever a higher-priority customer enters the queueing system

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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 have a utilization factor under 1 is:

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On average,how much longer in minutes do parties of non-truckers spend in the system,compared to parties of truckers?

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The goal of queueing analysis is to minimize:

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If clerk cost is $30 per hour and customer waiting time represents a cost of $20 per hour,how many clerks can be justified on a cost basis?

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