C. J. Ancker Jr. and A. V. Gafarian, “Some Queuing Problems with Balking and Reneging,” Operations Research, Vol. 11, No. 1, 1963, pp. 88-100.
http://dx.doi.org/10.1287/opre.11.1.88

has been cited by the following article:

• TITLE: A Two Stage Batch Arrival Queue with Reneging during Vacation and Breakdown Periods

  AUTHORS: Monita Baruah, Kailash C. Madan, Tillal Eldabi

  KEYWORDS: Two-Stage Service; Batch Arrivals; Breakdowns; Reneging; Steady State Queue Size

  JOURNAL NAME: American Journal of Operations Research, Vol.3 No.6, November 27, 2013

  ABSTRACT: We study a two stage queuing model where the server provides two stages of service one by one in succession. We consider reneging to occur when the server is unavailable during the system breakdown or vacation periods. We concentrate on deriving the steady state solutions by using supplementary variable technique and calculate the mean queue length and mean waiting time. Further some special cases are also discussed and numerical examples are presented.