K competing queues with customer abandonment: optimality of a generalised $$c \mu $$ c μ -rule by the Smoothed Rate Truncation method
Author:
Funder
Leiden University
Publisher
Springer Science and Business Media LLC
Subject
Management Science and Operations Research,General Decision Sciences
Link
http://link.springer.com/content/pdf/10.1007/s10479-019-03131-3.pdf
Reference15 articles.
1. Atar, R., Giat, C., & Shimkin, N. (2010). The $$c \mu /\theta $$ c μ / θ rule for many-server queues with abandonment. Operations Research, 58(5), 1427–1439.
2. Ayesta, U., Jacko, P., & Novak, V. (2011). A nearly-optimal index rule for scheduling of users with abandonment. In 2011 IEEE Proceedings of INFOCOM (pp. 2849–2857). IEEE.
3. Baras, J., Ma, D., & Makowski, A. (1985). K competing queues with geometric service requirements and linear costs: The [mu] c-rule is always optimal. Systems & Control Letters, 6(3), 173–180.
4. Bhulai, S., Brooms, A., & Spieksma, F. (2014). On structural properties of the value function for an unbounded jump Markov process with an application to a processor sharing retrial queue. Queueing Systems, 76(4), 425–446.
5. Blok, H., & Spieksma, F. (2015). Countable state Markov decision processes with unbounded jump rates and discounted cost: Optimality and approximations. Advances in Applied Probability, 47(4), 1088–1107.
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