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A large group of networks form BCMP networks. You can load-dependent Service rates and different classes of customers. There is also Following station types: First-Come-First-Served, Process sharing serving capacity of the station is distributed to all customers, Infinite Server there is one operator per customer, there are no waiting times., Last-Come-First-Served-Preemptive-Resume An incoming queue management customer interrupts A working operation in progress so that the latter is operated there Where it was interrupted. If queue networks are affected by certain features such as priorities, synchronization, Order losses, blockages are enriched Product formulations no longer.Here, approximate analytical methods, Numerical analysis and simulation. Especially in complex systems Finds the simulation application. Nothing is very suitable theory good to describe waiting situations when it succeeds, To find an adequate mathematical model. However, this is not always the case Because the prerequisites for the application of such models are, for example, not apply.

 

 

 

 

 

 

 

 

 

 



Based on observations made during the data collection, It can be said for the present case that the mathematical model Reality sufficiently well. In the following chapter, Cafe Central will be implemented as a simulation model And optimized. There will also be some criticisms mentioned above Mathematical model- such as unrestricted waiting periods. For complex problems, neither experimentally studied nor mathematical Can be queue management system price solved exactly, heuristic methods are used. To this Process counts the simulation. According to Müller-Merbach, the simulation can be conceived as a goal-oriented one Experimentation on models that are modeled on reality. Simulation is particularly suitable in the following situations: complete mathematical optimization model not available or not develop able analytical methods make assumptions that are the core of the problem analytical methods are too complicated or too complex Real experiments are too costly Observations of the real system are too dangerous, time- intensive or with Irreversible consequences For complex queue models like the Cafe Central is the simulation therefore Particularly well suited.

 

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It queue management system price can now be realized that the waiting periods before the Stations. Complex maintenance systems can also be easily displayed And the operating times need not be distributed exponentially. In the case of Cafe Central The simulation model is more flexible and more detailed than the queuing model. In this section, after the implementation of the simulation model, The calculation of important key figures as well as the optimization with subsequent Criticism of the model. The implementation of the Cafe Central into a simulation model is carried out with the software ARENA. As a further development of SIMAN it is with a comfortable User interface especially for discrete and continuous simulation Complex queuing networks. The Cafe Central consists of several stations.

 

 

 

 

 

 

 

 

 

 

 



This leads to that often Some structures of basic modules. A summary of these Modules to Templates reduces the complexity of the model and makes it easier Work clearly. The template for creating the queue model was With its own modeling surface in ARENA The following modules: CustomerCreate creates customer entities Way route with associated station, WayChoice path splits due to established probabilities In two ways, CustomerDispose removes queue management system customer entities. These templates are roughly based on the templates for the simulation of Crossroads. The templates are new requirements for the model But has changed widely. It can now be a distribution in the way modules For the operating time. In addition, it is possible to increase the number of Channels at a station.

 

 

 

 

 

 

 


 

 

 

Thus, the way module can be used as a way with Associated station. A separation of way and station would The capacity testing of the paths can be very complex. Traffic light modules or Similar modules are not needed because the actual control over the Arrival times, route capacities, operating times visit here at the stations and the probability of change To other ways. Therefore, in the WayModule The throwing of control signals are removed. Also, the graphic is Of the various modules. The following figure shows the logic of the queuing system. In contrast To the mathematical model, the stations, K 'and K' Is inserted. These have an operating time of zero seconds and are used as aggregation points, As they are also found in the real system.

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