한국철도학회논문집 (Journal of the Korean Society for Railway)

  • 제15권2호
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  • Pages.185-192
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  • 2012
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  • 1738-6225(pISSN)
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  • 2288-2235(eISSN)
한국철도학회 (The Korean Society for Railway)
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화물열차 노선계획 작성을 위한 열 생성 기반 최적화 모형 연구

A Column Generation Approach to Line Planning in Rail Freight Transportation

  • 박범환 (한국교통대학교 철도경영.물류학과)
  • 투고 : 2012.02.13
  • 심사 : 2012.03.29
  • 발행 : 2012.04.30
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초록

노선 계획이란 수요를 만족시키면서 열차 운행 비용(operation cost)을 최소화하는 시종착별 열차 운행횟수를 결정하는 과정을 말한다. 그러나 화물 수송의 경우 화물 취급역에서 발생하는 화물의 연결 혹은 해방 작업은 상당한 시간을 필요로 하여, 잦은 중간 화물역에서의 연결 해방 작업은 수송 서비스의 품질을 저하시킬 수 있으므로, 여객 열차의 노선 계획과 달리, 화물 열차 노선 계획에서는 각 열차의 도중 입환역을 어떻게 설정할 것인가가 매우 중요한 문제이다. 본 연구는 열차의 운행 경로, 운행 횟수뿐만 아니라 열차별 도중 입환역를 포함하는 노선계획을 작성하기 위한 최적화 모형을 제시하고, 이 모형에 대한 열생성 기반 해법 및 실험결과를 제시할 것이다.

Line planning is to determine the frequency of trains on each line to satisfy origin-destination demand while minimizing total operation cost. However, different from the line planning in passenger transportation, it is more important at which intermediate stations each train should be stopped and shunted because the freight car handling works like drop-off or(and) pick-up can incur much time and high cost so that the delay deteriorates the quality of rail freight transportation service. We present an optimization model for constructing line plan in rail freight transportation to simultaneously minimize the train operation cost and total transportation time of freights. And we suggest a column generation approach for our problem, which can solve the real network instances in reasonable computation times.

키워드

참고문헌

  1. M.R. Bussieck (1997) Optimal Lines in Public Rail Transport. TU Braunschweig, PhD thesis
  2. B.H. Park, S.-M. Oh, S.-H. Hong, D.-S. Moon (2005) Railway Line Planning Considering the Configuration of Lines with Various Halting Patterns, Journal of Korean Society of Transportation, Vol. 23, No. 6, pp.115-125.
  3. R.K. Ahuja, K.C. Jha, Jian Liu (2007) Solving real-life railroad blocking problems, Interfaces, 37(5) , pp. 404-419. https://doi.org/10.1287/inte.1070.0295
  4. C. Barnhart and H. Jin (2000) Railroad blocking : A network design application, Operations Research, 48(4), pp. 603-614. https://doi.org/10.1287/opre.48.4.603.12416
  5. T. Crainic, J-A. Ferland, T-M. Rousseau (1984) A tactical planning model for rail freight transportation, Transportation Science, 18(2), pp. 165-184. https://doi.org/10.1287/trsc.18.2.165
  6. A.E. Haghani (1989) Formulation and solution of a combined train routing and makeup, and empty car distribution model, Transportation Research B, 23B(6), pp. 433-452.
  7. M.H. Keaton (1989) Designing optimal railroad operating plans : Lagrangian relaxation and heuristic approaches, Transpn. Res. B, 23B(6), pp. 415-431.
  8. M.H. Keaton (1992) Designing railroad operating plans : A dual adjustment method for implementing lagrangian relaxation, Transportation Science, 26(4), pp. 263-279. https://doi.org/10.1287/trsc.26.4.263
  9. H.N. Newton, C. Barnhart, P.H. Vance (1998) Constructing railroad blocking plans to minimize handling costs, Transportation Science, 32, pp. 330-345 https://doi.org/10.1287/trsc.32.4.330
  10. E. Zhu, T.G. Crainic, M. Gendreau (2009) Integrated service network design for rail freight transportation, CIRRELT, CIRRELT- 2009-45
  11. R. Borndorfer, M. Grotschel, M.E. Pfetsch (2007) A Column Generation Approach to Line planning in public transport, Transportation Science, 41(1), pp. 123-132 https://doi.org/10.1287/trsc.1060.0161
  12. M.R. Bussieck (1997) Optimal Lines in Public Rail Transport, Ph.D thesis, TU Braunschweig
  13. M.R. Bussieck, P. Kreuzer, U.T. Zimmermann (1996) Optimal lines for railway systems, European Journal of Operations Research(96), pp. 54-63
  14. M.R. Bussieck, T. Lindner, M.E. Lubbecke (2004) A fast algorithm for near optimal line plans, Math. Methods Opers. Res, Vol. 59.
  15. M.T. Claessens, N.M. van Dijk, P.J. Zwaneveld (1998) Cost optimal allocation of rail passenger lines, European Journal of Operations Research, Vol. 110, pp. 474-489. https://doi.org/10.1016/S0377-2217(97)00271-3
  16. J.W. Goossens, S.V. Hoesel, L. Kroon (2006) On solving multi-type line planning problems, European Journal of Operational Research, Vol. 168, Issue 2, pp. 403-424 https://doi.org/10.1016/j.ejor.2004.04.036
  17. J.W. Goossens, S.V. Hoesel, L. Kroon (2004) A branch-andcut approach for solving railway line-planning problems, Transportation Science, 38(3).
  18. L.A. Wolsey (1998) Integer Programming, John Wiley and Sons, INC..
  19. E.-M. Kim, D.-J. Kim, Y-.S. Ko, H.-S. Kim, H.-J. Park(2009), "The Analysis on Competitiveness of Railroad Transport Focused on Container, Cement, Steel", Journal of the Korean Society for Railway, 12(5), pp. 613-622.