Exam 6: A: Advanced Waiting Line Theory and Simulation Modeling

Anxious cruise vacationers besiege Tatiana,their excursion coordinator,and her fourteen assistants at the Port of Cozumel when they realize that all water excursions have been cancelled for no reason in particular.It takes them 4 minutes to find the customers an alternative excursion activity and customers cluster around them at the rate of 200 per hour.About how long does a customer wait in line to receive their valuable service if the service times are exponentially distributed and the arrivals follow a Poisson distribution?

Customers enter the stadium and purchase refreshments before they are shown to their seats by experienced ushers.The concession stand lines are considered elements in the simulation model.

Simulation permits the modeler to discover what might happen should certain events occur,for example,extreme levels of customer demand,equipment malfunction,etc. This type of analysis is known as ________ analysis.

Many complex waiting line situations cannot be analyzed through neatly derived formulas.In these cases,________ is the best method of analysis.

Frenzied cruise vacationers besiege Tatiana,their excursion coordinator,at the Port of Cozumel when they realize that all water excursions have been cancelled for no reason in particular.It takes her 2.5 minutes to find the customers an alternative excursion activity and customers cluster around her at the rate of 20 per hour.Calculate system performance characteristics if service times are exponentially distributed and the arrivals follow a Poisson distribution.

Anxious cruise vacationers besiege Tatiana,their excursion coordinator,at the Port of Cozumel when they realize that all water excursions have been cancelled for no reason in particular.It takes her 2.5 minutes to find the customers an alternative excursion activity and customers cluster around her at the rate of 20 per hour.About how long does a customer wait in line to receive her valuable service if the service times are exponentially distributed and the arrivals follow a Poisson distribution?

The department chair is out of town at a conference and you,as the assistant department chair,find yourself besieged by dozens of students needing permission to get into a very popular (but closed)class.Student arrivals are governed by the Poisson distribution with a mean of 10 minutes.Telling the students that they can't get into the closed class takes about 5 minutes,and this average is exponentially distributed.About how long do students wait outside your office door?

Anxious cruise vacationers besiege Tatiana,their excursion coordinator,at the Port of Cozumel when they realize that all water excursions have been cancelled for no reason in particular.It takes her 2.5 minutes to find the customers an alternative excursion activity and customers cluster around her at the rate of 20 per hour.About how many customers are clustered around her,either receiving service or waiting in line to receive her valuable service if the service times are exponentially distributed and the arrivals follow a Poisson distribution?

Anxious cruise vacationers besiege Tatiana,their excursion coordinator,and her fourteen assistants at the Port of Cozumel when they realize that all water excursions have been cancelled for no reason in particular.It takes them 4 minutes to find the customers an alternative excursion activity and customers cluster around them at the rate of 200 per hour.Calculate system performance characteristics if service times are exponentially distributed and the arrivals follow a Poisson distribution.

The bank manager of a busy downtown location found herself unable to find good teller help so she invested in an ATM to handle the routine withdrawals that tended to occupy an inordinate amount the teller's time.Before she installed the ATM she found that customers were arriving on average every 2 minutes (Poisson distributed)and it took a teller 30 seconds (exponentially distributed)to process their request.The ATM is able to maintain a constant 30 second service time.What is the impact on system utilization?

All waiting line formulas assume that customers are served on a first-come first-served (FCFS)basis.

If 5 minutes passes between customer arrivals then the ________ is 12/hour.

In most cases,simulation models provide optimal solutions to problems just like most of the equations presented in your textbook.

Customers pass by any one of forty ticket takers on their way in the arena for a WWE event.This is a single ________ system.

Nervous cruise vacationers besiege Tatiana,their excursion coordinator,at the Port of Cozumel when they realize that all water excursions have been cancelled for no reason in particular.It takes her 2.5 minutes to find the customers an alternative excursion activity and customers cluster around her at the rate of 20 per hour.About how many customers are waiting in line to receive her valuable service if the service times are exponentially distributed and the arrivals follow a Poisson distribution?

A single channel single server system requires that the ________ rate be larger than the ________ rate.

The only way to enter Jellystone Park is past Ranger Smith,who checks your camping gear and warns you about the bears in the park.The next step of the entrance process is to pay your site fee to Ranger Dwayne.This is a single ________ system.

In waiting line theory,the number of channels refers to the number of customer waiting lines in the system.

The bank manager of a busy downtown location found herself unable to find good teller help so she invested in an ATM to handle the routine withdrawals that tended to occupy an inordinate amount the teller's time.Before she installed the ATM she found that customers were arriving on average every 60 seconds (Poisson distributed)and it took a teller 20 seconds (exponentially distributed)to process their request.The ATM is able to maintain a constant 30 second service time.What is the impact on the waiting time for the customers?

Barber College is the best deal in town! For only $5,you can get a shampoo and cut by any one of four untrained stylists completed in 7.5 minutes on average.Perhaps this is why customers show up on average two minutes apart (both arrival times and service times are exponentially distributed).Develop a full description of the system performance.How much does performance improve if another barber is added to the customer service staff?