IE interfaces (산업공학)

Korean Institute of Industrial Engineers (대한산업공학회)
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Analysis on the Effectiveness of Capacity Pooling Under Game Situation

게임상황하에서 Capacity Pooling 효과에 관한 연구

  • Nam, Yoon-Jin (The First Logistics Support Command, Army) ;
  • Yoon, Bong-Kyoo (Department of Operations Research, Korea National Defense University)
  • 남윤진 (육군 제1군수지원사령부) ;
  • 윤봉규 (국방대학교 운영분석학과)
  • Received : 2012.01.12
  • Accepted : 2012.06.04
  • Published : 2012.12.01
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Abstract

Since pooling is a popular scheme in many areas to attain operational excellence, many researchers investigated the performance of pooling systems. However, rare research could be found on pooling with game situation which has much applicability to real world phenomenon. We analyze the performance of noncooperative pooling system with two servers having different sharing capacity. We investigate the sensitivity of the advantage of capacity pooling on the variation of system parameters, including sharing capacity numbers, pooling probability, pooling strategy and traffic intensity. As a result, we suggest an efficient control policy which facilitate the performance of pooling in a game situation.

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References

  1. Andrew, L., Hanly, S., and Mukhtar, R. (2008), Active Queue Management for Fair Resource Allocation in Wireless Networks, Ieee Transactions on mobile computing, 7(2), 231-246. https://doi.org/10.1109/TMC.2007.70724
  2. Bae, T. H., Kim, S. K., and Yoon, B. K. (2008), An Analysis on the Performance of Capacity Pooling Using Queueing Model, Korea SCM Journal, 8(2), 41-51.
  3. Chae, K. C. (2004), Queueing Lecture, Technical Report #04-2004-01, KAIST.
  4. Chin, W.-K., Choi, S.-M., and Huang, M. (2010), Optimal Service Capacity in a Multiple-Server Queueing System : A Game Theory Approach, Journal of Industrial and Management Optimization, 6, 73-102.
  5. Christ, D. and Avi-Itzhak, B. (2002), Strategic equilibrium for a pair of competing Servers with convex cost and balking, Management science, 48(6), 813-820. https://doi.org/10.1287/mnsc.48.6.813.191
  6. Graham, A. (1981), Kronecker Products and Matrix Calculus With Applications, Halsted Press, John Wiley and Sons, NY.
  7. Jordon, W. and Graves, S. (1995), Principles on the benefits of manufacturing process flexibility, Management Science, 41(4), 577-594. https://doi.org/10.1287/mnsc.41.4.577
  8. Kim, Y. S. (2011), Game Theory, Pakyounhsa.
  9. Lee, H. W. (2006), Queueing Theory, Sigma press.
  10. Mandelbaum, A. and Reiman, Martin I. (1998), On Pooling in Queueing Networks, Management Science, 44(7), 971-981. https://doi.org/10.1287/mnsc.44.7.971
  11. Ozel, O., Uysal-Biyikoglu, E., and Girici, T. (2010), Optimal Buffer Partitioning on a Multiuser Wireless Link, Information Theory and Applications Workshop, 1-10.
  12. Smith, D. R. and Whitt, W. (1981), Resource sharing for efficiency in traffic systems, Bell System Technical Journal, 60(1), 39-55. https://doi.org/10.1002/j.1538-7305.1981.tb00221.x
  13. Smith, J. M. and Cruz, F. R. B. (2005), The Buffer Allocation Problem for General Finite Buffer Queueing Networks, Taylor and Francis, 37(4), 343-365.
  14. Van Dijk, N. M. and Van der Sluis, E. (2008), To Pool or Not to Pool in Call Centers, Production and Operations Management, 17(3), 296-305. https://doi.org/10.3401/poms.1080.0029
  15. Yu, Y., Benjaafar, S., and Gerchak, Y. (2009), Capacity Pooling and Cost Sharing Among Independent Firms in the Presence of Congestion, Working Paper, University of Minnesota.