That shows the user not only what could happen, but how likely is that to happen. As mentioned in previous chapters, to understand, to study complex systems tail is imperative the use of computer technology and information. To be able to record even queuing system alternatively such a process to be able to realize an analysis of the sizes of the tail, system monitoring is required in real time something which is time consuming and responsible costly both in resources and in money. So an analysis based on the use of computers is cheaper, less risky, quicker and more efficient than the actual study and recording customer flow management of the queue system.

Create an embedded stochastic process

Our main tools to represent one queue process is software spreadsheet and simulation software. The combination of the above with the queuing theory allow us to implement analyzes in customer flow management great detail without having either to take an irreversible risk either to consume queuing system time, money and resources in general to experience and record the entire process. Still, we have to think that if we have in our power the power of a modern computer, the simulation of such a queue process can be simulated for as length of time desired and for any possible situations, depending on the characteristics of the system in a given step, systemic. So we understand that enables us to study and compare processes which contain annual data in minutes with very little cost.

The program's spreadsheet such as Microsoft Excel, which we will use and following the implementation, enable us to reconstruct with ease mathematical expressions queuing theory 86 and repeat them as many times as we want without having to count them again queuing system ourselves. Even Excel, provides us with a multitude of ready-made functions, which reduce the time needed to construct the queue model and as to simplify their understanding by others. A large percentage of the problems solved with the help of the theory of queues and the use of computational tools have to do with a successful customer service. As mentioned previously, for a customer it is very important that, if not zero then the minimum hold and better, and faster service when entering a queue system.

Queuing system long path or process

We must not forget that a quick and efficient system is desirable and administrators of the queue system, which should queuing system additionally to optimize to achieve and the least cost to the unit along with the best customer satisfaction. By using Excel we will simulate a service system in a public service, the form M/ M/ X (where X have the number of servers in each case), which has as its main purpose to serve the public. Specifically we present the comparison of the two systems and which refer to the same data have different characteristics and thus provide different results. These different features are the number of servers and the different average times of arrival of the customers and servicing. The limitations of the model may not be many, but are basic and have to do with the service's queuing system opening hours.