Exam 26: Waiting Line Models

______ population source theoretically represents systems that potentially have a large number of possible customers.

The total cost throughout any service or manufacturing facility consists of ______ components.

In modeling a waiting line,we can consider several characteristics.Which of the following is NOT such a characteristic?

______ costs are incurred in order to maintain existing facility capacity or add additional capacity to provide the required service.

In queuing theory models,the customers that potentially need service can be considered as arriving from ______.

High level of service often results in ______.

Customers at an amusement park arrive at the rate of 10 customers per hour.The entry booth is staffed by one employee.The mean service time at the booth to provide service to each customer is 5 minutes.The arrival rate follows a Poisson distribution,and the service time at the booth follows a negative exponential distribution.It is estimated that the cost of customer waiting time associated with dissatisfied customers and loss of goodwill is $12 per hour.The employee at the service booth is paid $8 an hour.Determine the average customer waiting time cost per day in the queue.Assume total hours of operation as 10 hours per day.

The branch of mathematics that deals with the study and analysis of waiting lines is known as ______.

The mathematical expression for the Poisson distribution is shown as P(x)= e⁻λλˣ/x! The term x stands for ______.

In waiting line systems,there is a(n)______ relationship between customer waiting time costs and capacity-related costs.

______ is the design or structure of the service system.

______ is a probability distribution that describes the time between events in a process in which events occur continuously and independently at a constant average rate.

Suppose an item stays in an inventory system for an average of 8 days,and the demand rate for this item is 15 units per day.Determine the average inventory level for this item.

The owner of an amusement park has decided to open a second entry booth and hire another employee to service customers entering the park.Customers arrive at the rate of 20 per hour and will wait in a single line until one of the two employees is available to provide service.The average service time of both employees is 2 minutes to provide service.The arrival rate follows Poisson distribution,and the service time follows a negative exponential distribution.Determine the average number of customers waiting in line.

Which of the following assumptions is FALSE about the single-server queuing model?

The owner of an amusement park has decided to open a second entry booth and hire another employee to service customers entering the park.Customers arrive at the rate of 20 per hour and will wait in a single line until one of the two employees is available to provide service.The average service time of both employees is 2 minutes to provide service.The arrival rate follows Poisson distribution,and the service time follows a negative exponential distribution.Determine the average time the customer spends in the system.

ABS specializes in repair and maintenance of industrial machines.One repair technician has been assigned to five identical grinding machines for repair and maintenance.The machine breaks down after about 20 hours of use,and breakdowns have a Poisson probability distribution.It takes 6 hours to repair a machine,and repair times follow an exponential distribution.Machine downtime costs the company $250 an hour,and the technician is paid $50 an hour.Determine the average cost per hour of downtime if number of technicians is equal to two.

If the arrival rate is 12 cars per hour,and the number of cars serviced in 1 hour is 15,then the service time per car is ______.

______ describes the way customers arrive at the service system.

Wages paid to workers while the facility remains idle because of machine repair or lack of parts in an example of ______.