Abstract

We will deal with the standard single server queue model with waiting costs and service rewards. Special attention will be given to the issue of waiting times, externalities and the difference between them in terms of decision making. Two criteria will be looked at when dealing with the decision whether or not to join the queue: individual optimization and social optimization. The concept of Nash equilibrium and its applications to unobservable queues will be introduced. Next we will look at the issue of how to regulate the queue, namely how to make individual customer behave in a socially optimal way. This goal can be achieved by the introduction of entry fees or contracts, or by selecting an appropriate queue discipline. The above will be then repeated for the observable version of this decision making. These issues will be explored in future research in more involved models, for example those where the service time follows some general (as opposed to exponential) distribution or those where a few servers grant service.

Speaker Bio

170420-DSS-Prof-Moshe-Haviv-eDM-finalMoshe Haviv holds a B.Sc. (1979) in mathematics from Tel Aviv University, and M.A. (1982) and Ph.D. (1983) in operations research from Yale University. He joined the Department of Statistics at the Hebrew University in 1984 and with some intermissions, mostly at the University of British Columbia and at the University of Sydney, has been there since. He is currently holding a Professor position. He served as Head of Department in 2008-2012. He is also the immediate past president of the Operations Research Society of Israel. His research areas are queueing systems in general and strategic decision making in queues, in particular. This involves models from non-cooperative and cooperative game theory. Other areas of interest are numerical issues in Markov chains, and Markov decision processes. Among his publications, a booked titled “To queue or not to queue: Equilibrium behaviour in queueing systems”, co-authored with Refael Hassin and published by Kluwer in 2003. He also published a textbook `Queues: A Course in Queueing Theory’ (2013) by Springer. He also published around 70 research papers mostly in prestigious refereed journals (http://pluto.mscc.huji.ac.il/~haviv/).

For more information about the ESD Seminars Series, please contact Ying Xu at xu_ying@sutd.edu.sg.