한국컴퓨터정보학회논문지 (Journal of the Korea Society of Computer and Information)

  • 제21권6호
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  • Pages.47-53
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  • 2016
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  • 1598-849X(pISSN)
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  • 2383-9945(eISSN)
한국컴퓨터정보학회 (Korean Society of Computer Information)
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Polynomial Time Algorithm for Satellite Communications Scheduling Problem with Capacity Constrainted Transponder

  • Lee, Sang-Un (Dept. of Multimedia Engineering, Gangneung-Wonju National University)
  • 투고 : 2016.02.15
  • 심사 : 2016.03.09
  • 발행 : 2016.06.30
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초록

This paper deals with the capacity constrained time slot assignment problem(CTSAP) that a satellite switches to traffic between $m{\times}n$ ground stations using on-board $k{\leq}_{min}\{m,n\}$ k-transponders switching modes in SS/TDMA time-division technology. There was no polynomial time algorithm to solve the optimal solution thus this problem classified by NP-hard. This paper suggests a heuristic algorithm with O(mn) time complexity to solve the optimal solution for this problem. Firstly, the proposed algorithm selects maximum packet lengths of $\({mn \atop c}\)$ combination and transmits the cut of minimum packet length in each switching mode(MSMC). In the case of last switching mode with inefficient transmission, we applies a compensation strategy to obtain the minimum number of switching modes and the minimum makespan. The proposed algorithm finds optimal solution in polynomial time for all of the experimental data.

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참고문헌

  1. T. Inukai, "An Efficient SS/TDMA Time Slot Assignment Algorithm," IEEE Transactions on Communications, Vol. COM-27, No. 10, pp. 1449-1455, Oct. 1979.
  2. G. Rote and A. Vogel, "A Heuristic for Decomposing Traffic Matrics in TDMA Satellite Communication," Zeitschrift fur - Methods and Models of Operations Research, Vol. 38, No. 3, pp. 281-307, Oct. 1993. https://doi.org/10.1007/BF01416610
  3. K. L. Yeung, "Efficient Time Slot Assignment Algorithms for TDM Hierarchical and Nonhierarchical Switching Systems," IEEE Transactions on Communications, Vol. 49, No. 2, pp. 351-359, Feb. 2001. https://doi.org/10.1109/26.905898
  4. X. Wan, F. Shan, and Z. Shen, "An Optimal Algorithm for Time-slot Assignment in SS/TDMA Satellite Systems," IEEE 22nd International Conference on Computer Communications and Networks (ICCCN), pp. 1-6, Jul. 2013.
  5. D. Werra, "A Note on SS/TDMA Satellite Communication," Linear Algebra and Its Applications, Vol. 135, pp. 69-77, Jul. 1990. https://doi.org/10.1016/0024-3795(90)90116-T
  6. C. Gueret, X. Prins, and M. Sevaux, "Applications of Optimization with Xpress-MP: 12.5 Scheduling of Telecommunications via Satellite," Dash Optimization Ltd., pp. 185-190, Feb. 2005.
  7. M. Edvall, "Publicity Campaign," Tomlab Optimization Inc, http://tomsym.com/examples/tomsym_satellite comm.html, Apr. 2009.
  8. T. H. Lee and S. S. Park, "An Integer Programming Approach to the Time Slot Assignment Problem in SS/TDMA Systems with Intersatellite Links," European Journal of Operational Research, Vol. 135, No. 1, pp. 57-66, Nov. 2001. https://doi.org/10.1016/S0377-2217(00)00291-5
  9. J. P. Jue, "Lightpath Establishment in Wavelength- Routed WDM Optical Networks," Optical networks, Kluwer Academic Publishers, pp. 99-122, 2001.
  10. S. U. Lee, "Polynomial Time Algorithm for Satellite Communications Scheduling Problem," Journal of KIIT, Vol. 13, No. 4, pp. 27-36, Apr. 2015.
  11. S. U. Lee, "Polynomial Time Algorithm for Multi-Beam SS/TDMA Satellite Communications Scheduling Problem with Frequency-Hopping Ground Stations," Journal of KSCI, Vol. 20, No. 7, pp. 33-40, Jul. 2015.
  12. S. U. Lee, "Polynomial Time Algorithm for Multi-Satellite Communications Scheduling Problem with Intersatellite Links," Journal of KIIT, Vol. 13, No. 8, pp. 29-37, Aug. 2015.
  13. R. A. Brualdi, "Some Applications of Doubly Stochastic Matrices," Linear Algebra and Its Applications, Vol. 107,pp. 77-100, Aug. 1988. https://doi.org/10.1016/0024-3795(88)90239-X
  14. A. S. Acampora and B. R. Davis, "Efficient Utilization of Satellite Transponders via Time- Division Multibeam Scanning," The Bell System Technical Journal, Vol. 57, No. 8, pp. 2901-2914, Oct. 1978. https://doi.org/10.1002/j.1538-7305.1978.tb02182.x
  15. K. T. Huang and J. H. Wen, "A Traffic Reallocation Algorithm for an SS/TDMA System with Frequency-Hopping Earth Stations," Proceedings of IEEE Vehicular Technology, Tokyo, Japan, Vol. 2, pp. 1606-1610, May 2000.
  16. D. L. Adamy, "EW 102: A Second Course in Electronic Warfare, Chapter 7: Communication Satellite Links," Horizon House Publications, Inc. 2004.
  17. G. Maral and M. Bousquet, "Performance of Fully Variable Demand Assignment SS/TDMA Satellite Systems," International Journal of Satellite Communications, Vol. 5, No. 1, pp. 279-290, Jan. 1987. https://doi.org/10.1002/sat.4600050404
  18. T. Gonzalez and S. Sahni, "Open-Shop Scheduling to Minimize Finish Time," Journal of the ACM, Vol. 23, No. 4, pp. 665-679, Oct. 1976. https://doi.org/10.1145/321978.321985
  19. S. Martello, "Jeno Egervary: From the Origins of the Hungarian Algorithm to Satellite Communication," Central European Journal of Operations Research, Vol. 18, No. 1, pp. 47-57, Mar. 2010. https://doi.org/10.1007/s10100-009-0125-z
  20. S. G. Petridou, P. G. Sarigiannidis, G. I. Papadimitriou, and A. S. Pomportsis, "An Efficient Clustering Oriented Algorithm for Message Scheduling on WDM Star Networks," 14th IEEE Symposium on Communications and Vehicular Technology, Benelux, pp. 143-147, Nov. 2007.