Queues on interacting networks

Free Public Lecture

Queues on interacting networks

We have all had the unpleasant experience of waiting for too long at some queue. We seem to lose a significant amount of time waiting for some operator to reply to our call or for the doctor to be able to see us. Queues are the object of study of queuing theory, i.e., the branch of applied mathematics that studies models involving a number of servers providing service to at least one queue of customers. Queues are an example of a stochastic process and a group of connected queues is an example of a network.

In this talk, we will give a brief overview of the area of stochastic processes, ranging from classroom examples to their impact on industry and technology. We then introduce networks with interacting architectures and look at different architectures through examples. The aim is to give an idea of the mathematical challenges that these interactions create and the importance of incorporating this level of detail in mathematical analysis.

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