Exam 12: Waiting Lines and Queuing Theory Models

A post office has a single line for customers waiting for the next available postal clerk.There are two postal clerks who work at the same rate.The arrival rate of customers follows a Poisson distribution,while the service time follows an exponential distribution.The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks.How long does the average person spend waiting for a clerk?

Queuing theory had its beginning in the research work of

Frequently in queuing problems,the number of arrivals per unit of time can be estimated by a probability distribution known as the Poisson distribution.

Little's Flow Equations are applicable for single-channel systems only.

When looking at the arrivals at the ticket counter of a movie theater,we can assume an unlimited queue.

If we are using a simulation queuing model,we still have to abide by the assumption of a Poisson arrival rate,and negative exponential service rate.

A queuing system with a normally distributed arrival pattern,exponential service times,and three servers would be described as

According to the information provided in Table 12-1,what is the average time spent by a person in this system?

Cars arrive at a local JLUBE franchise at the rate of 1 every 12 minutes.Service times are exponentially distributed with an average of 15 minutes.Jack Burns,the JLUBE owner,has decided to open a second work bay,i.e. ,make the shop into a two-channel system.Under this new scheme,the total time an average customer spends in the system will be

At a local fast food joint,cars arrive randomly at a rate of 12 every 30 minutes.The fast food joint takes exactly 2 minutes (this is constant).The average total time in the system is

Cars arrive at a local JLUBE franchise at the rate of 1 every 12 minutes.Service times are exponentially distributed with an average of 15 minutes.Jack Burns,the JLUBE owner,has decided to open a second work bay,i.e. ,make the shop into a two-channel system.Under this new scheme,the average customer will wait in an ________ line.

Two characteristics of arrivals are the line length and queue discipline.

A suburban specialty restaurant has developed a single drive-thru window.Customers order,pay,and pick up their food at the same window.Arrivals follow a Poisson distribution while service times follow an exponential distribution.If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes,what proportion of the time is the server busy?

A suburban specialty restaurant has developed a single drive-thru window.Customers order,pay,and pick up their food at the same window.Arrivals follow a Poisson distribution,while service times follow an exponential distribution.What type of queuing model is exhibited in this problem?

A suburban specialty restaurant has developed a single drive-thru window.Customers order,pay,and pick up their food at the same window.Arrivals follow a Poisson distribution while service times follow an exponential distribution.If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes,how much time will elapse (in hours)from the time a customer enters the line until he/she leaves the restaurant?

Queuing theory had its beginning in the research work of Albert Einstein.

Table 12-4 -According to the information provided in Table 12-4,which presents a queuing problem solution for a queuing problem with a constant service rate,on average,how many customers are in the system?

A dry cleaner has a single drive-thru window for customers.The arrival rate of cars follows a Poisson distribution,while the service time follows an exponential distribution.The average arrival rate is 16 per hour and the average service time is three minutes.If the dry cleaner wants to accommodate (have enough room for)all of the waiting cars at least 96 percent of the time,how many car-lengths should they make the driveway leading to the window?

If we are studying the arrival of automobiles at a highway toll station,we can assume an infinite calling population.

When waiting time is based on time in the queue,which of the following is the correct equation for total cost?