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

HTML  Download Download as PDF (Size: 637KB)  PP. 570-580  
DOI: 10.4236/ajor.2013.36054    4,667 Downloads   7,943 Views  Citations

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.

Share and Cite:

M. Baruah, K. Madan and T. Eldabi, "A Two Stage Batch Arrival Queue with Reneging during Vacation and Breakdown Periods," American Journal of Operations Research, Vol. 3 No. 6, 2013, pp. 570-580. doi: 10.4236/ajor.2013.36054.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.