Abstract
This study develops a new method to calculate the water distribution system’s mechanical reliability and locates crucial pipes by using the minimum cut-sets method, exhaustive enumeration method and an optimal allocation model. First, a full domain optimization model was established to analyze the water distribution system. Next, the minimum cut-sets method and exhaustive enumeration method were used to discover the water distribution system’s key pipes. At last, water distribution system’s mechanical reliability can be calculated. The major contributions are that we can use optimal allocation model to locate crucial pipelines in the water distribution whose failure will severely impair the source-demand connectivity. Besides, we can calculate water distribution system’s mechanical reliability. Thus we can offer these results for hydraulic construction funds consulting. The developed methodology is applied to a water distribution system in Hsin-Chu, Taiwan.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Chang F-J, Yih J (1990) Stochastic linear programming model of optimal reservoir operation strategy. In: Conference of the 5th hydraulic engineering conference, pp 28–39 (in Chinese)
Chou NF, Huang YM (1998) Study of water resources allocation model of Southern Taiwan. In: Conference of the 9th hydraulic engineering conference, pp 23–33 (in Chinese)
Crawley P, Dandy GC (1993) Optimal operation of multiple-reservoir system. J Water Resour Plan Manage, ASCE 119(1):1–7
Cullinane MJ (1989) Determining availability and reliability for water distribution systems. In: Mays LW (ed) Reliability analysis of water distribution systems. ASCE, New York
Hobbs BF (1985) Reliability analysis of water system capacity. In: Hydraulics and hydrology in the small computer age, vol 1. ASCE, New York, pp 341–346
Hsu N-S, Cheng K-W (2002) Network flow optimization model for basin scale water supply planning. J Water Resour Plan Manage, ASCE 128(2):102–112
Keisler A, Ormsbee L, Shaniir U (1990) A methodology for least-cost design of invulnerable water distribution networks. Civ Eng Syst 7(1):20–28
Kuczera G (1989) Fast multireservoir multiperiod linear programming models. Water Resour Res 25(2):169–176
Labadie JW (2004) Optimal operation of multi reservoir systems: state-of-the-art review. J Water Resour Plan Manage, ASCE 130(2):93–111
Liu, CM (1978) Reserve water linear model and simplified. Taiwan Water Conservancy 26(1):18–21 (in Chinese)
Liu D, Chen X, Lou Z (2010) A model for the optimal allocation of water resources in a saltwater intrusion area a case study in a pearl River Delta in China. J Water Resour Plan Manage 24:63–81
Park H, Liebman JC (1993) Redundancy-constrained minimum-cost design of water-distribution nets. J Water Resour Plan Manage, ASCE 119(1):83–98
Park S, Jun H, Kim BJ, Im GC (2008) Modeling of water main failure rates using the log-linear ROCOF and the power law process. J Water Resour Plan Manage 22:1311–1324
Reca J, Martines J, Gil C, Banos R (2008) Application of several meta-heuristic techniques to the optimization of real looped water distribution networks. J Water Resour Plan Manage 22:1367–1379
Sahoo B, Lohani AK, Sahu RK (2006) Fuzzy multiobjective and linear programming based management models for optimal land-water-crop system planning. J Water Resour Plan Manage 20:931–948
Sechi GM, Zuddas P (2008) Multiperiod hypergraph models for water systems optimization. J Water Resour Plan Manage 22:307–320
Shamir U, Howard CDD (1981) Water supply reliability theory. J Am Waterworks Assoc 73:379–384
Shamir U, Howard CDD (1985) Reliability and risk assessment for water supply systems. In: Tourno H (ed) Proc spec conf comp applications in water resource. ASCE, New York, pp 1218–1228
Su Y-C, Mays LW, Duan N, Lansey KE (1987) Reliability-based optimization model for water distribution systems. J Hydraul Eng, ASCE 114(12):1539–1556
Tsai CS, Hsu NS (2002) Application and establishment of multi-reservoir system united operating simulation model and optimization seeking methodology of chase period. Thesis of Civil Engineering Department, National Taiwan University, Taipei, Taiwan (in Chinese)
Tsai JX (2003) Methodology and application for a time step-by-step optimal method of multi-reservoir system with united operational simulated model. Ms. thesis, National Taiwan University (in Chinese)
Tu MY (1996) Study on surface water right by using optimal method. Ms. thesis, National Taiwan University (in Chinese)
Tu MY, Hsu NS, Yeh WW-G (2003) Optimization of reservoir management and operation with hedging rules. J Water Resour Plan Manage, ASCE 129(2):86–97
Wagner JM, Shamir U, Marks DH (1988) Water distribution reliability: analytical methods. J Water Resour Plan Manage, ASCE 114(3):253–275
Yang S-L, Hsu N-S, Louie PW-F, Yeh WW-G (1996a) Water distribution network reliability: connectivity analysis. J Infrastruct Syst 2(2):54–64
Yang S-L, Hsu N-S, Louie PW-F, Yeh WW-G (1996b) Water distribution network reliability stochastic simulation. J Infrastruct Syst 2(2):65–72
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kuo, CL., Hsu, NS. An Optimization Model for Crucial Key Pipes and Mechanical Reliability: A Case Study on a Water Distribution System in Taiwan. Water Resour Manage 25, 763–775 (2011). https://doi.org/10.1007/s11269-010-9725-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11269-010-9725-6