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A monotonicity result for a G/GI/c queue with balking or reneging

  • Serhan Ziya (a1), Hayriye Ayhan (a2), Robert D. Foley (a2) and Erol Peköz (a3)

Abstract

In a G/GI/c loss system with balking, reneging, or limited waiting space, deleting some of the arriving customers can either increase or decrease the fraction of the remaining arrivals who get served, depending on how customers are deleted. We present a model in which the random deletion of arrivals independently and with some fixed probability can never decrease the fraction of the remaining arrivals who get served.

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Copyright

Corresponding author

Postal address: Department of Statistics and Operations Research, University of North Carolina, CB# 3260, 213 Smith Building, Chapel Hill, NC 27599, USA. Email address: ziya@unc.edu
∗∗ Postal address: H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, 765 Ferst Drive, Atlanta, GA 30332-0205, USA.
∗∗ Email address: hayhan@isye.gatech.edu
∗∗∗∗ Email address: rfoley@isye.gatech.edu
∗∗∗∗∗ Postal address: School of Management, 595 Commonwealth Avenue, Boston, MA 02215, USA. Email address: pekoz@bu.edu

References

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Sonderman, D. (1979). Comparing multi-server queues with finite waiting rooms. I: Same number of servers. Adv. Appl. Prob. 11, 439447.

Keywords

MSC classification

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A monotonicity result for a G/GI/c queue with balking or reneging

  • Serhan Ziya (a1), Hayriye Ayhan (a2), Robert D. Foley (a2) and Erol Peköz (a3)

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