Tel Aviv University Dear all, This week at the Horowitz seminar on Probability, Ergodic Theory and Dynamical Systems <(http://www.math.tau.ac.il/~peledron/Horowitz_seminar/Horowitz_seminar.html)> we are happy to have: -- Monday, December 27 -- * Eitan Bachmat, Ben-Gurion University * "A symmetry satisfied by the Pollaczek - Khinchine formula" Schreiber 309 at 14:30, Tel Aviv University. Abstract: Queueing theory is an important branch of applied probability. A fundamental result in queueing theory is the Pollaczek-Khinchine formula (1930, 1932) for the average waiting time in a single server queue with Poisson arrivals. We provide new insight regarding this old formula by showing that it has a certain symmetry/duality. Interestingly, this type of symmetry first appeared in a simple computation of Riemann (1859). The symmetry is useful in the analysis of queues which are typical of supermarkets or minimarkets. If time permits we will explain how these might be improved in practice, saving! a few precious minutes of our lives. Best regards, Ron --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Ron Peled <peledron@gmail.com>