Ibe, O.C. and Isijola, O.A. (2014) M/M/1 Multiple Vacation Queueing Systems with Differentiated Vacations. Modeling and Simulation in Engineering, 2014, Article 158247.
http://dx.doi.org/10.1155/2014/158247

has been cited by the following article:

• TITLE: M/G/1 Vacation Queueing Systems with Server Timeout

  AUTHORS: Oliver C. Ibe

  KEYWORDS: Vacation Queueing Systems, Timeout Policies, Performance Analysis, N-Policy with Timeout

  JOURNAL NAME: American Journal of Operations Research, Vol.5 No.2, March 13, 2015

  ABSTRACT: We consider a single-server vacation queueing system that operates in the following manner. When the server returns from a vacation, it observes the following rule. If there is at least one customer in the system, the server commences service and serves exhaustively before taking another vacation. If the server finds the system empty, it waits a fixed time c. At the expiration of this time, the server commences another vacation if no customer has arrived; otherwise, it serves exhaustively before commencing another vacation. Analytical results are derived for the mean waiting time in the system. The timeout scheme is shown to be a generalized scheme of which both the single vacation and multiple vacations schemes are special cases, with c=∞ and c=0, respectively. The model is extended to the N-policy vacation queueing system.