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Quality Technology & Quantitative Management Volume 14, 2017 - Issue 1
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Articles

Equilibrium in vacation queueing system with complementary services

Yan MaSchool of Mathematics and Statistics, Central South University, Changsha, China.View further author information
,
Zaiming LiuSchool of Mathematics and Statistics, Central South University, Changsha, China.View further author information
&
Zhe George ZhangCollege of Business and Economics, Western Washington University, Bellingham, WA, USA.;Beedie School of Business, Simon Fraser University, British Columbia, Canada.Correspondence[email protected]
View further author information
Pages 114-127 | Accepted 16 May 2016, Published online: 19 Jul 2016

References

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  • Economou, A., & Kanta, S. (2008). Equilibrium balking strategies in the observable single-server queue with breakdowns and repairs. Operations Research Letters, 36, 696–699.
  • Liu, W., Ma, Y., & Li, J. (2012). Equilibrium threshold strategies in observable queueing systems under single vacation policy. Applied Mathematical Modelling, 36, 6186–6202.
  • Ma, Y., Liu, W., & Li, J. (2013). Equilibrium balking behavior in the Geo/Geo/1 queueing system with multiple vacations. Applied Mathematical Modelling, 37, 3861–3878.
  • Sun, W., Guo, P., & Tian, N. (2010). Equilibrium threshold strategies in observable queueing systems with setup/closedown times. Central European Journal of Operations Research, 18, 241–268.
  • Sun, W., Li, S., Tian, N., & Zhang, H. (2009). Equilibrium analysis in batch-arrival queues with complementary services. Applied Mathematical Modelling, 33, 224–241.
  • Takagi, H. (1991). Vacation and Priority Systems, Queueing Analysis A Foundation of Performance Evaluation, (Vol. 1). New York, NY: North-Holland.
  • Tian, N., & Zhang, Z.G. (2006). Vacation queueing models: Theory and applications. New York, NY: Springer.
  • Veltman, A., & Hassin, R. (2005). Equilibrium in queueing systems with complementary products. Queueing System, 50, 325–342.

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