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

One assumption in most waiting line analyses is that the number of customers is ________.

One approach to mathematical simulation where statistical sampling is used to generate outcomes for a large number of trials is ________.

Hopeful patrons line up to spin the giant slot machine at the entrance to Ace Rothstein's Tangiers casino.They pour in the door at the rate of 300 per hour and it takes exactly ten seconds every time for the wheels to spin and inform the unlucky patron that they have lost a dollar rather than win a new Corvette.How long do customers spend waiting in line and finding out the unhappy news on average?

The Greek letter lambda (λ)is used to represent the service rate of a waiting line system.

Customer arrivals at a dry cleaning service occur randomly throughout the day.The distribution that is usually used to model the interval between arrivals is the:

One advantage of simulation modeling is:

Why would someone choose to use simulation to analyze a waiting line problem rather than use a formula? What are the advantages and disadvantages of a simulation approach?

Hysterical 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 spend waiting in line and receiving their valuable service if the service times are exponentially distributed and the arrivals follow a Poisson distribution?

A customer enters a business and joins the one line that snakes back and forth through the lobby in order to receive service.The initial part of the service is performed by one customer service representative,after which the customer enters a second,shorter line to complete the service before leaving the establishment.Which description of this waiting line system is appropriate?

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). How long does a customer spend waiting for a haircut?

A process is ________ if the outcome of one trial does not have any impact on the next trial.

Just before he retired for the evening,Saba started his simulation program to simulate five years of hospital operations as he slept.His ability to generate five years of data overnight is a textbook example of ________.

Gerard is choosing between two methods of organizing his bakery.Method one will require a counter person to wait on each customer individually before they proceed to the cashier to pay for their purchases.In this system,customers will arrive at the rate of 8 per hour and can be served by the counter person at the rate of 15 per hour.The cashier will be capable of serving customers at the rate of 20 per hour.For simplification purposes,assume that the arrival rate at the cashier phase is identical to the arrival rate at the first phase and that these waiting lines can be analyzed independently and combined. Method two will have the two employees wait on customers as they selected their pastries and also collect their money once their selections have been made.Customers still arrive at the rate of 8 per hour but now the total service time (pastry selection and payment collection)takes 5 minutes per customer.Calculate the average number of customers in the bakery and the average time spent in the bakery for both systems and make your recommendations to Gerard.

A waiting line cannot be both multiple-channel and multiple-phase.

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 3 minutes,and this average is exponentially distributed.About how many students are waiting outside your office door?

The term "time compression" refers to the phenomenon that a server tends to speed up the service process if the waiting line exceeds some critical number of customers.

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 5 minutes.Telling the students that they can't get into the closed class takes about 3 minutes,and this average is exponentially distributed.About how long does it take a student to wait in line and receive your valuable service?

Frenzied 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.What is the probability that there are no customers awaiting service or being served if the service times are exponentially distributed and the arrivals follow a Poisson distribution?

Hysterical 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 many customers are waiting in line to receive their valuable service if the service times are exponentially distributed and the arrivals follow a Poisson distribution?

With only a half hour for lunch I screamed into the parking lot of the nearest Golden Arches Supper Club at 40 miles an hour.When I saw the drive-through line was 15 cars deep,I didn't bother getting in line; I was off to visit the Colonel.This behavior might be described as balking.