Technical Papers
Jan 23, 2017

Fuzzy Set–Based System Performance Evaluation of an Irrigation Reservoir System

Publication: Journal of Irrigation and Drainage Engineering
Volume 143, Issue 5

Abstract

This paper presents the development of fuzzy set–based performance measures for an irrigation reservoir system to answer questions on how likely a system is to fail (fuzzy reliability), how quickly it is likely to recover from failure (fuzzy resiliency), and how severe the consequences of failure are likely to be (fuzzy vulnerability). The failure/success state of the system is defined as a fuzzy event. A fuzzy set with an appropriate membership function is defined to describe both the working and failed states, to account for the system being in partly working and partly failed state. Failure of the irrigation reservoir system is related to the evapotranspiration deficit of the crops in a period. Application of the performance measures is demonstrated with the case study of the Bhadra Reservoir system in Karnataka, India. The reservoir operation is simulated using three different reservoir operating policy models: steady-state policy obtained using a fuzzy stochastic dynamic programming (FSDP) model, steady-state policy obtained using a classical stochastic dynamic programming (SDP) model, and yearly operating policy using a conceptual operating policy (COP) model. All reservoir operating policy models consider the integration of the reservoir operation policy at 10-day time periods with water allocation decisions on a daily basis by maintaining the storage continuity and soil moisture balance. Inclusion of fuzziness in the performance measure gives realistic solutions by capturing uncertainties in the reservoir operating policy models.

Get full access to this article

View all available purchase options and get full access to this article.

References

Allen, R. G., Pereira, L. S., Raes, D., and Smith, M. (1998). “FAO Penman–Monteith equation: Crop evapotranspiration—Guidelines for computing crop water requirements.” Chapter 2, Food and Agriculture Organization, Rome.
Asefa, T., Clayton, J., Adams, A., and Anderson, D. (2014). “Performance evaluation of a water resources system under varying climatic conditions: Reliability, resilience, vulnerability and beyond.” J. Hydrol., 508, 53–65.
Barker, K., Ramirez-Marquez, J. E., and Rocco, C. M. (2013). “Resilience-based network component importance measures.” Reliab. Eng. Sys. Saf., 117, 89–97.
Bolouri Yazdeli, Y., Haddad, O. B., Fallah Mehdipour, E., and Mariño, M. A. (2014). “Evaluation of real-time operation rules in reservoir systems operation.” Water Resour. Manage., 28(3), 715–729.
Butler, D., et al. (2016). “Reliable, resilient and sustainable water management: The safe and SuRe approach.” Global Challenges, in press.
Doorenbos, J., and Kassam, A. H. (1979). “Yield response to water.” Irrigation and Drainage Paper, Food and Agriculture Organization, Rome.
Doorenbos, J., and Pruitt, W. O. (1977). “Crop water requirements.”, Food and Agriculture Organization, Rome.
Dubrovin, T., Jolma, A., and Turunen, E. (2002). “Fuzzy model for real time reservoir operation.” J. Water Resour. Plann. Manage., 66–73.
El-Baroudy, I., and Simonovic, S. P. (2004). “Fuzzy criteria for the evaluation of water resource systems performance.” Water Resour. Res., 40(10), 1.
Faybishenko, B. (2010). “Fuzzy-probabilistic calculations of water-balance uncertainty.” Stochastic Environ. Resour. Risk Assess., 24(6), 939–952.
Fiering, M. B., and Jackson, B. B. (1971). “Synthetic streamflow.” Water resources monograph 1, American Geophysical Union, Washington, DC.
Fogel, M. M., Duckstein, L., and Kisiel, C. C. (1976). “Optimum control of irrigation water application.” J. Hydrol., 28(2), 343–358.
Francis, R., and Bekera, B. (2014). “A metric and frameworks for resilience analysis of engineered and infrastructure systems.” Reliab. Eng. Sys. Saf., 121, 90–103.
Fu, D. Z., Li, Y. P., and Huang, G. H. (2012). “A fuzzy-Markov-chain-based analysis method for reservoir operation.” Stochastic Environ. Resour. Risk Assess., 26(3), 375–391.
Fu, D. Z., Li, Y. P., and Huang, G. H. (2013). “A factorial-based dynamic analysis method for reservoir operation under fuzzy-stochastic uncertainties.” Water Resour. Manage., 27(13), 4591–4610.
Fu, G., and Kapelan, Z. (2011). “Fuzzy probabilistic design of water distribution networks.” Water Resour. Res., 47(5), 1–12.
Guo, P., Huang, G. H., Zhu, H., and Wang, X. L. (2010). “A two-stage programming approach for water resources management under randomness and fuzziness.” Environ. Model. Software, 25(12), 1573–1581.
Hashimoto, T., Stedinger, J. R., and Loucks, D. P. (1982). “Reliability, resiliency, and vulnerability criteria for water resource system performance evaluation.” Water Resour. Res., 18(1), 14–20.
Jain, S. K., and Bhunya, P. K. (2008). “Reliability, resilience and vulnerability of a multipurpose storage reservoir.” Hydrol. Sci., 53(2), 434–447.
Jun, K. S., Chung, E. S., Kim, Y. G., and Kim, Y. (2013). “A fuzzy multi-criteria approach to flood risk vulnerability in South Korea by considering climate change impacts.” Expert Syst. Appl., 40(4), 1003–1013.
Karamouz, M., and Nazif, S. (2013). “Reliability-based flood management in urban watersheds considering climate change impacts.” J. Water Resour. Plann. Manage., 520–533.
Kjeldsen, T. R., and Rosbjerg, D. (2004). “Choice of reliability, resilience and vulnerability estimators for risk assessments of water resources systems.” Hydrol. Sci., 49(5), 755–767.
Kumari, S., and Mujumdar, P. (2015a). “Fuzzy state real-time reservoir operation model for irrigation with gridded rainfall forecasts.” J. Irrig. Drain. Eng., 04015042.
Kumari, S., and Mujumdar, P. (2015b). “Reservoir operation with fuzzy state variables for irrigation of multiple crops.” J. Irrig. Drain. Eng., 04015015.
McMahon, T. A., Adeloye, A. J., and Zhou, S. L. (2006). “Understanding performance measures of reservoirs.” J. Hydrol., 324(1), 359–382.
McMahon, T. A., Vogel, R. M., Pegram, G. G., Peel, M. C., and Etkin, D. (2007). “Global streamflows—Part 2: Reservoir storage-yield performance.” J. Hydrol., 347(3), 260–271.
Minsker, B., et al. (2015). “Progress and recommendations for advancing performance-based sustainable and resilient infrastructure design.” J. Water Resour. Plann. Manage., A4015006.
Mondal, M. S. and Wasimi, S. A. (2007). “Evaluation of risk-related performance in water management for the Ganges Delta of Bangladesh.” J. Water Resour. Plann. Manage., 179–187.
Montazar, A., Gheidari, O. N., and Snyder, R. L. (2013). “A fuzzy analytical hierarchy methodology for the performance assessment of irrigation projects.” Agric. Water Manage., 121, 113–123.
Mousavi, S. J., Karamouz, M., and Menhadj, M. B. (2004a). “Fuzzy-state stochastic dynamic programming for reservoir operation.” J. Water Resour. Plann. Manage., 460–470.
Mousavi, S. J., Mahdizadeh, K., and Afshar, A. (2004b). “A stochastic dynamic programming model with fuzzy storage states for reservoir operations.” Adv. Water Resour., 27(11), 1105–1110.
Mousavi, S. J., Ponnambalam, K., and Karray, F. (2005). “Reservoir operation using a dynamic programming fuzzy rule-based approach.” Water Resour. Manage., 19(5), 655–672.
Moy, W. S., Cohon, J. L., and Revelle, C. S. (1986). “A programming model for analysis of the reliability, resilience, and vulnerability of a water supply reservoir.” Water Resour. Res., 22(4), 489–498.
Mujumdar, P. P., and Vedula, S. (1992). “Performance evaluation of an irrigation system under some optimal operating system.” Hydrol. Sci., 37(1), 13–26.
Panigrahi, D. P., and Mujumdar, P. P. (2000). “Reservoir operation modeling with fuzzy logic.” Water Resour. Manage., 14(2), 89–109.
Prats, A. G., and Pico, S. G. (2010). “Performance evaluation and uncertainty measurement in irrigation scheduling soil-water balance approach.” J. Irrig. Drain. Eng., 732–743.
Raje, D., and Mujumdar, P. P. (2010). “Reservoir performance under uncertainty in hydrologic impacts of climate change.” Adv. Water Resour., 33(3), 312–326.
Ross, J. T. (2004). Fuzzy logic with engineering applications, 2nd Ed., Wiley, Hoboken, NJ.
Safavi, H. R., Golmohammadi, M. H., and Sandoval-Solis, S. (2016). “Scenario analysis for integrated water resources planning and management under uncertainty in the Zayandehrud River Basin.” J. Hydrol., 539(6), 625–639.
Sandoval-Solis, S., and McKinney, D. C. (2014). “Integrated water management for environmental flows in the Rio Grande.” J. Water Resour. Plann. Manage., 355–364.
Sandoval-Solis, S., McKinney, D. C., and Loucks, D. P. (2011). “Sustainability index for water resources planning and management.” J. Water Resour. Plann. Manage., 381–390.
Sivapragasam, C., Vasudevan, G., Vincent, P., Sugendran, P., Marimuthu, M., and Seenivasakan, S. (2007). “Rule reduction in fuzzy logic for better interpretability in reservoir operation.” Hydrol. Processes, 21(21), 2835–2844.
Srdjevic, B., Medeiros, Y. D. P., and Porto, R. L. L. (2005). “Data envelopment analysis of reservoir system performance.” Comput. Oper. Res., 32(12), 3209–3226.
Suresh, K. R., and Mujumdar, P. P. (2004). “A fuzzy risk approach for performance evaluation of an irrigation reservoir system.” Agric. Water Manage., 69(3), 159–177.
Tilmant, A., Vanclooster, M., Duckstein, L., and Persoons, E. (2002). “Comparison of fuzzy and nonfuzzy optimal reservoir operating policies.” J. Water Resour. Plann. Manage., 390–398.
Woods, D. D. (2015). “Four concepts for resilience and the implications for the future of resilience engineering.” Reliab. Eng. Syst. Saf., 141, 5–9.
Xu, K., Zhou, J., Ran, G., and Qin, H. (2011). “Approach for aggregating interval-valued intuitionistic fuzzy information and its application to reservoir operation.” Expert Syst. Appl., 38(7), 9032–9035.
Zadeh, L. A. (1965). “Fuzzy sets.” Inf. Control, 8(3), 338–353.
Zadeh, L. A. (1968). “Probability measures of fuzzy events.” J. Math. Anal. Appl., 23(2), 421–427.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 143Issue 5May 2017

History

Received: Jun 14, 2016
Accepted: Sep 30, 2016
Published online: Jan 23, 2017
Discussion open until: Jun 23, 2017

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Sangeeta Kumari
Research Student, Dept. of Civil Engineering, Indian Institute of Science, Bangalore, Karnataka 560012, India.
P. P. Mujumdar [email protected]
Professor, Dept. of Civil Engineering, Indian Institute of Science, Bangalore, Karnataka 560012, India (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share