A Study of Stochastic Model with Queue Network | Original Article

ABSTRACT:

Mathematicians and operational researchers have done significant work in developing stochastic and simulation models in the analysis of feedback and cyclic queue network. Different authors have introduced different models to encourage theory in realistic circumstances, using various hypothesis situations as their basis. One can observe that, while many such models lack practicability in real life circumstances, the mathematical methods used in the study are truly elegant. Here is a short description of some of the work they choose in a series they have created in order to deal with specific circumstances in their lives. Feedback queues are those in which a customer once served if his service is failing and is served over and over before his service is successful. For instance a packet transmitted from the source to the destination can be returned in certain real life scenarios as for example a feedback queue and it can proceed as it is until the packet is eventually transmitted. In the last few decades, the university has carried out extensive research in the field of feedback and cyclic queue model. In the field of queue networking theory Jackson did a remarkable job. Let us take it for granted that units (customermessagepackages) individually arrive in Poisson at rate β and that the service time is general. Once the service is complete, the device is cycled back into the system with a chance to successfully perform a service apart from the p system or if service is unsuccessful. This is called input from Bernoulli. It is not likely that all customers, who necessarily join and leave at the same node, or who follow the same route once they enter the customer of the system, can return to the previously visited nodes, miss any of the nodes entirely and choose to stay in the system forever.