One at a time and working hours a day. The cars arrive at the queue management workshop with an average of cars per day. The duration of the maintenance service of a car follows an exponential distribution of average hours. The maintenance service costs the company euros per day. The company estimates at euros day the cost of having the car stopped without being able to rent. The company considers the possibility of changing the service of maintenance for a faster one that can reduce queue management system the time of maintenance to an average of hours, but this also supposes an increase of the cost. Up to what value can it increase the cost for queue management software the company to hire new maintenance services? Our fast food restaurant, panic, has a lot to learn about queuing theory. It urges customers to form queues in which they are distributed randomly in front of employees during the daily meal period.

In addition, they have installed barriers between the three queues so that customers do not go to other queues to prevent people from changing their tail. Customers arrive according to a poisson distribution with an average of per hour and the time a customer is served varies according to an exponential distribution of average seconds. Assuming the permanent state of the system, what is the average time of stay of the customer until it has been serviced? The manager of panic has now believed that a single queue is preferable to finally distribute to the three servers and thus the barriers are eliminated.what is the waiting time in this way? An organization is currently involved in the establishment of a telecommunications center to have a better capacity of them. The center should be responsible for the output of the messages as well as the entry and distribution within the organization. The person in charge of the center is responsible for determining the operators who must work on it. Operators responsible for message output are responsible for making small corrections to messages, maintaining a code index and a file with outgoing messages in the last days, and of course transmitting the message. It has been established that this process is exponential and requires an average of min messages. The transmission operators will work in the center hours a day and five days a week.

All outgoing messages will be processed in the order they are received and follow a poisson distribution with an average of for every hours per day. Messages should be answered within hours. Determine the minimum number of staff needed to meet this service criterion. A small branch of a bank has two employees, one for payments and one for collections. Customers arrive at each box following a poisson distribution with an average of hours. (the total arrival at the bank is hour). The service time of each employee is an exponential negative of half minutes. The head of the section is thinking of making a change in which the two operators can make both payments and charges to avoid situations where one queue is full and the other stop.

However, it is estimated that when employees take care of both, the service time will increase to an average of. Minutes. It compares the system that is now used with the proposed one, calculating the total number of people in the bank, the average time a customer would spend in the bank until it was serviced, the probability that a customer would wait more than five minutes and the average time that the employees are unemployed. In the business reality, the ideal is that each element of our company is optimized, calling to optimize to plan an activity so that the best possible results are obtained. Part of these elements that must be optimized are the waiting phenomena that are generated in our activity. These phenomena are very common in everyday life, since we are accustomed to see it here waiting and this seems natural to us in many occasions, to pay in a supermarket, a highway queue management software toll, to enter the cinema, etc. This happens because at a given moment the demand for a service has exceeded the service capacity of this one, there are many people waiting to pay compared to the number of boxes, many cars at a time for the toll. From the point of view of the is logical to think of reducing costs, which is achieved with a low number of servers that perform the service, but people do not like to wait.