Abstract
Fairness is an inherent and fundamental factor of queue service disciplines in a large variety of queueing applications, ranging from airport waiting lines to computer queueing systems. We study a newly proposed measure, a Resource Allocation Queueing Fairness Measure (RAQFM), first introduced in Raz, Levy, and Avi-Itzhak (Perform. Eval. Rev. 32(1):130–141, 2004). We analyze the properties of RAQFM and tie them to intuition, provide bounds for its values, and discuss briefly how it yields to analysis.
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Avi-Itzhak, B., Levy, H.: On measuring fairness in queues. Adv. Appl. Probab. 36(3), 919–936 (2004)
Avi-Itzhak, B., Levy, H., Raz, D.: Quantifying fairness in queueing systems: Principles, approaches and applicability. Technical Report RRR-25-2005, RUTCOR, Rutgers University, August 2005. URL: http://rutcor.rutgers.edu/pub/rrr/reports2005/25_2005.pdf. Submitted
Brosh, E., Levy, H., Avi-Itzhak, B.: The effect of service time variability on job scheduling fairness. Technical Report RRR-24-2005, RUTCOR, Rutgers University, July 2005. URL: http://rutcor.rutgers.edu/pub/rrr/reports2005/24.pdf
Palm, C.: Methods of judging the annoyance caused by congestion. Tele. (English Ed.) 2, 1–20 (1953)
Rafaeli, A., Barron, G., Haber, K.: The effects of queue structure on attitudes. J. Serv. Res. 5(2), 125–139 (2002)
Rafaeli, A., Kedmi, E., Vashdi, D., Barron, G.: Queues and fairness: A multiple study investigation. Technical report, Faculty of Industrial Engineering and Management, Technion. Haifa, Israel. Under review, 2003. URL: http://iew3.technion.ac.il/Home/Users/anatr/JAP-Fairness-Submission.pdf
Raz, D., Avi-Itzhak, B., Levy, H.: Classes, priorities and fairness in queueing systems. Technical Report RRR-21-2004, RUTCOR, Rutgers University, June 2004. URL: http://rutcor.rutgers.edu/pub/rrr/reports2004/21_2004.pdf
Levy, H., Raz, D., Avi-Itzhak, B.: Locality of reference and the use of sojourn time variance for measuring queue fairness. Oper. Res. Lett. 35(3), 311–318 (2007)
Raz, D., Levy, H., Avi-Itzhak, B.: RAQFM: A resource allocation queueing fairness measure. Technical Report RRR-32-2004, RUTCOR, Rutgers University, September 2004. URL: http://rutcor.rutgers.edu/pub/rrr/reports2004/32_2004.ps
Raz, D., Levy, H., Avi-Itzhak, B.: A resource-allocation queueing fairness measure. In: Proceedings of Sigmetrics 2004/Performance 2004 Joint Conference on Measurement and Modeling of Computer Systems. New York, NY, June 2004. Perform. Eval. Rev. 32(1), 130–141
Sandmann, W.: A discrimination frequency based queueing fairness measure with regard to job seniority and service requirement. In: Sabella, R. (ed.) Proceedings of the 1st Euro NGI Conference on Next Generation Internet Networks—Traffic Engineering (NGI2005), Computer Society Press, Rome, Italy, April 2005
Sherry-Gordon, E.: New problems in queues: social injustice and server production management. PhD thesis, MIT, May 1987
Wierman, A., Harchol-Balter, M.: Classifying scheduling policies with respect to unfairness in an M/GI/1. In: Proceedings of ACM Sigmetrics 2003 Conference on Measurement and Modeling of Computer Systems, pp. 238–249, San Diego, CA, June 2003
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This work was supported in part by the Israeli Ministry of Science and Technology, grant number 380-801, and by EURO-NGI network of excellence.
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Avi-Itzhak, B., Levy, H. & Raz, D. A resource allocation queueing fairness measure: properties and bounds. Queueing Syst 56, 65–71 (2007). https://doi.org/10.1007/s11134-007-9025-x
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DOI: https://doi.org/10.1007/s11134-007-9025-x