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A dynamic programming approach for the pipe network layout problem

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  • Shiono, Naoshi
  • Suzuki, Hisatoshi
  • Saruwatari, Yasufumi

Abstract

This study addresses the optimization problem with the objective of designing a pipe network. An underground pipe network for geographically dispersed customers must be designed with consideration of the many candidate roads below which pipes are laid. The layout and pipe sizes must then be determined to minimize the pipe network construction cost. However, this problem has attracted little research attention to date. In this study, we first formulate mathematical optimization models under the assumption of a single source node in a planar graph. We then find that the cost-minimized pipe network has a tree structure if the diameter of each pipe is a continuous variable. Thereafter, we develop an exact algorithm based on dynamic programming. The time complexity of the algorithm is polynomial in the number of nodes, but exponential in the number of faces covering all demand nodes for a planar graph. In addition, we propose a method for assigning commercial pipe diameters to the tree using a commercial solver. The computational results for a real-world gas distribution network show that our method provides an efficient solution.

Suggested Citation

  • Shiono, Naoshi & Suzuki, Hisatoshi & Saruwatari, Yasufumi, 2019. "A dynamic programming approach for the pipe network layout problem," European Journal of Operational Research, Elsevier, vol. 277(1), pages 52-61.
    • Handle: RePEc:eee:ejores:v:277:y:2019:i:1:p:52-61
    DOI: 10.1016/j.ejor.2019.02.036
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    References listed on IDEAS

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    1. D’Ambrosio, Claudia & Lodi, Andrea & Wiese, Sven & Bragalli, Cristiana, 2015. "Mathematical programming techniques in water network optimization," European Journal of Operational Research, Elsevier, vol. 243(3), pages 774-788.
    2. Graça Gonçalves & Margarida Vaz Pato, 2000. "A three‐phase procedure for designing an irrigation system's water distribution network," Annals of Operations Research, Springer, vol. 94(1), pages 163-179, January.
    3. Salah Saleh & Tiku Tanyimboh, 2013. "Coupled Topology and Pipe Size Optimization of Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(14), pages 4795-4814, November.
    4. Shiono, Naoshi & Suzuki, Hisatoshi, 2016. "Optimal pipe-sizing problem of tree-shaped gas distribution networks," European Journal of Operational Research, Elsevier, vol. 252(2), pages 550-560.
    5. Ranel E. Erickson & Clyde L. Monma & Arthur F. Veinott, 1987. "Send-and-Split Method for Minimum-Concave-Cost Network Flows," Mathematics of Operations Research, INFORMS, vol. 12(4), pages 634-664, November.
    6. Willard I. Zangwill, 1968. "Minimum Concave Cost Flows in Certain Networks," Management Science, INFORMS, vol. 14(7), pages 429-450, March.
    7. Graça Gonçalves & Luís Gouveia & Margarida Pato, 2014. "An improved decomposition-based heuristic to design a water distribution network for an irrigation system," Annals of Operations Research, Springer, vol. 219(1), pages 141-167, August.
    8. De Corte, Annelies & Sörensen, Kenneth, 2013. "Optimisation of gravity-fed water distribution network design: A critical review," European Journal of Operational Research, Elsevier, vol. 228(1), pages 1-10.
    9. B. Rothfarb & H. Frank & D. M. Rosenbaum & K. Steiglitz & D. J. Kleitman, 1970. "Optimal Design of Offshore Natural-Gas Pipeline Systems," Operations Research, INFORMS, vol. 18(6), pages 992-1020, December.
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    Cited by:

    1. Zhou, Jun & Zhao, Yunxiang & Fu, Tiantian & Zhou, Xuan & Liang, Guangchuan, 2022. "Dimension optimization for underground natural gas storage pipeline network coupling injection and production conditions," Energy, Elsevier, vol. 256(C).
    2. M. Blokland & R. D. van der Mei & J. F. J. Pruyn & J. Berkhout, 2023. "Literature Survey on Automatic Pipe Routing," SN Operations Research Forum, Springer, vol. 4(2), pages 1-56, June.
    3. Penghui Ma & Yajin Hu & Hansheng Liu & Yuannong Li, 2020. "The Optimum Design Criteria for On-demand Pressurized Microirrigation Network Systems: Optimizing Subunits with Paired Laterals based on the Maximum Size," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(10), pages 3237-3255, August.
    4. Yiyuan Pang & Hong Li & Pan Tang & Chao Chen, 2022. "Synchronization Optimization of Pipe Diameter and Operation Frequency in a Pressurized Irrigation Network Based on the Genetic Algorithm," Agriculture, MDPI, vol. 12(5), pages 1-16, May.

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