TALLER MIXTO

TALLER

1) A tool crib has exponencial interarrival and service times, and serves a very large group of mechanics. The mean time between rrivals is 4 minutes. It takes 3 minutes on theaverange for a tool crib attendant to service a mechanic. Thee attendant is paid $ 10 per hour and the mechanic is paid $ 15 per hour. Would it be advisable to have a second tool crib attendant?.

( M / M / 1) : ( G / Infinito / Infinito )

2) A two-runway ( one runway for landing, one runway for taking off) airport is being designed for propeller-driven aircraft. The time to land an airplane is known to be exponentially distributed with a mean of 1-1/2 minutes. If airplane arrival are assumed to occur at random. What arrival rate can be tolerated if the average wait in the sky is not to exceed 3 minutes?

( M / M / 2) : ( G / Infinito / Infinito )

3. The Port of Trop can service only one ship at a time. However, there is mooring space for three more ships. Trop is a favorite port of call. Bull if no mooring space is available, the ships have to go to her the Port of Poop. An average of seven ships arrive each week, according to a Poisson process. The Port of Trop has the capacity to handle an average of eight ships a week, with service times exponentially distributed, what is the expected number of ships waiting or in service at the Port of Trop?

( M / M / 1) : ( G / 4 / Infinito )

4. At the metropolis city hall, two workers “pull strings” every day. Strings arrive to be pulled on an average of one every 10 minutes throughout the day.it takes an average of 15 minutes to pull a string. Both times between arrivals and service times are exponentially distributed. What is the probability that there are no string to be pulled in the system at a random point in time? What is the expected number of string waiting to be pulled? What is the probability that both string pullers are busy? What is the effect on performance if a third string puller, working at the same speed as the first two, is added to the system?

( M / M / 2) : ( G / Infinito / Infinito )

5. At Tony and Cleo’s bakery, one kind of birthday cake is offered. It takes 15 minutes to decorate this particular cake and the job is performed by one particular baker. In fact, this is all this baker does. What mean time between arrivals (exponentially distributed) can be accepted if the mean length of the queue for decorating is not to exceed five cakes?

6. A machine shop repairs small electric motors which arrive according to a Poisson process at a rate of 12 per week (5- day, 40- hour workweek). An analysis of past data indicates that engines can be repaired, on the average, in 2.5 hours with a variance of 1 hour. How many working hours should a customer expect to leave a motor at the repair shop (not knowing the status of the system)? If the variance of the repair time could be controlled, what variance would reduce the expected waiting time to 6.5 hours?

7.  Arrivals to self-service gasoline pump occur in a Poisson fashion at a rate of 12 per hour. Service time has a distribution which average 4 minutes with standard deviation of 1-1/3 minutes. What is the expected number of vehicles in the system?

8. Classic car care has one worker who washes cars in a four-step method- soap, rinse, dry, vacuum. The time to complete each step is exponentially distributed with a mean of 9 minutes. Every car goes through every step before another car begins the process. On the average one car every 45 minutes arrives for a wash job, according to a Poisson process. What is the average time a car waits to begin the wash job? What is the average number of cars in the car wash system? What is the average time required to wash car?

 ( M / M / 2) : ( G / Infinito / Infinito )