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Exam 25: Waiting-Line Analysis

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Question 21

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A basic difference between infinite source and finite source queuing models is:

A) the number of servers.
B) the average waiting time.
C) the average arrival rate.
D) the potential number of customers.
E) the processing rate.

F) A) and E)
G) A) and D)

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Question 22

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A manager assembled the following information about an infinite source waiting line system: 5 servers,an arrival rate of 6 per hour,and a service time of 20 minutes.The manager has determined that the average number of customers waiting for service is .04.Determine each of the following: (i)the server utilization (ii)the average waiting time in line in minutes (iii)the average time in the system (iv)the average number in the system

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l = 6/hr. = 3/hr.M = 5 L_q...

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Question 23

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The following questions refer to this data for a multiple server,priority service queuing model: 11eab92b_c474_9b9a_99e6_fdcbe8a56749

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 server utilization is:

The following questions refer to this data for a multiple server,priority service queuing model: 11eab92b_c474_c2ad_99e6_4d891bf991d1

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

A multiple server queuing system has a Poisson arrival rate of 16 per hour and exponential service time averaging 8 per hour.Server cost is $25 per hour and the cost of waiting is $40 per hour.Based on total cost,how many servers should be staffed?

Total queuing system costs are always minimized at the point where the costs of customers waiting are equal to the service capacity costs.

In a single server,exponential service durations,and finite number in system model there are 4 customers in the system three in line and one being served.What is the probability no new customer will join the line? The probability of zero customers in the system is .375,arrival rate is 18 per hour and the service rate is 24 per hour.

A multiple server system assumes that each server will have its own waiting line.

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

In waiting-line analysis,queue discipline refers to the willingness of customers to wait in line for service.

The following questions refer to this data for a multiple server,priority service queuing model: What is the overall average arrival rate?

Waiting lines occur even in underloaded systems because of variability in service rates and/or arrival rates.

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

A single server queuing 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 average arrival rate will remain the same.The effect will be to:

Which of these would increase server utilization?

In waiting lines,reneging occurs when a customer does not join the line because it is too long.

A system has one service facility that on an average can service 10 customers per hour.The customers arrive at a variable rate,which averages 6 per hour.In this circumstance,no waiting lines will form.

If a manager increases server utilization (assuming no change in the customer arrival rate) what happens to the customer waiting time?