We provide Game-theoretic analysis of the arrival process to a multi-serve r system with a limited queue buffer, which admits customers only during a finite time interval. A customer who arrives at a full system is blocked and do es not receive service. Customers can choose their arrival times...

Suppose customers need to choose when to arrive to a congested queue with some desired service at the end, provided by a single server that operates only during a certain time interval. We study a model where the customers incur not only congestion (waiting) costs but also penalties for their...

Kella and Whitt (J. Appl. Probab. 29 (1992) 396) introduced a martingale {Mt} for processes of the form Zt=Xt+Yt where {Xt} is a Lévy process and Yt satisfies certain regularity conditions. In particular, this provides a martingale for the case where Yt=Lt where Lt is the local time at zero of...