Here, we take the view that the modern theory of queueing is intrinsically linked with the development of communications systems and, specifically, the Internet. However, we now live in a world where the Internet is no longer an academic research project, but a mature piece of commercial infrastructure. Notwithstanding new breakthroughs in communications, queueing theory is moving into new areas. This is potentially an exciting proposition as many of these emerging challenges require carefully crafted solutions. Moreover, this should come as no surprise as the subject is not about any one application area, but is inherent to any system where inventory builds from a mismatch in supply and demand. For this reason, queueing has a perennial quality, and this is the reason its study is embedded in so many application areas.
Whatever the limitations, there are many wonderful results. I am still struck by the beauty of results using reversibility in queueing systems , and how even now researchers are uncovering new ways to apply the theory to modern Internet applications . When writing this view, I compared the text of Kleinrock with more recent texts on Queueing in communications [6, 11], and it is striking how much has changed in the style and variety of methods used. It is important to recognize that the goalposts will keep moving.
Queueing: a recurring theme To carry out research in some of the areas mentioned above, you must move far west or far east to regularly interact with the specific companies and engineers who develop those systems. The discussion above represents research trends which can motivate new research in queueing. However, rather than promote the next bandwagon, the point I would like to emphasize is that the queueing problem keeps coming back. This is because the area is so fundamental to so many scenarios in our modern world. 2b1af7f3a8