Water Resources Management

, Volume 33, Issue 13, pp 4525–4538 | Cite as

Hedging Rules-Based Optimal Reservoir Operation Using Bat Algorithm

  • Javad Jamshidi
  • Mojtaba ShourianEmail author


In this study, optimal operation of a reservoir by incorporation of the hedging policy and the Bat Algorithm (BA) is investigated. The deficit in water supply by the dam is minimized as the objective function and the optimal monthly releases from the reservoir are determined and compared in three hedging-based operation rules. In the first rule, which has a single decision variable, a constant monthly release is considered for all 240 months of the operation period. In the second scenario, one fixed release is determined for each month of the year and is repeated in successive operating years which results 12 decision variables for the problem. In the third rule, all monthly releases are varied as the decision variables resulting 240 unknowns for the problem. The developed models are utilized for the Zhaveh reservoir in west of Iran. Results show that while BA is a suitable easy going algorithm to be applied for optimal reservoir operation planning, the amount of water deficit is lower when a higher degree of freedom is defined for the operating rules as the values for the objective function are 105.3, 102.8, and 80.5 for the first to the third scenarios, respectively. Afterward, the results using the hedging rules are compared with the standard operating policy (SOP) and it is found that the reservoir performance is more desirable in satisfying water demands when the hedging policy is applied.


Optimal reservoir operation Hedging Standard operating policy Bat algorithm 


Compliance with Ethical Standards

Conflict of Interests

The authors declare that they have no conflict of interests.


  1. Ahmadianfar I, Adib A, Salarijazi M (2016) Optimizing multireservoir operation: hybrid of bat algorithm and differential evolution. Water Resour Plan Manag 142(2):05015010CrossRefGoogle Scholar
  2. Bozorg-Haddad O, Karimirad I, Seifollahi-Aghmiuni S, Loáiciga HA (2014) Development and application of the bat algorithm for optimizing the operation of reservoir systems. Water Resour Plan Manag 141(8):04014097CrossRefGoogle Scholar
  3. Dariane AB, Karami F (2014) Deriving hedging rules of multi-reservoir system by online evolving neural networks. Water Resour Manag 28(11):3651–3665CrossRefGoogle Scholar
  4. Draper AJ, Lund JR (2004) Optimal hedging and carryover storage value. Water Resour Plan Manag 130(1):83–87CrossRefGoogle Scholar
  5. Ethteram M, Mousavi SF, Karami H, Farzin S, Deo R, Binti OF, Chau K, Sarkamaryan S, Singh VP, El-Shafie A (2018) Bat algorithm for dam-reservoir operation. Environ Earth Sci 77:510CrossRefGoogle Scholar
  6. Huang C, Zhao J, Wang Z, Shang W (2016) Optimal hedging rules for two-objective reservoir operation: balancing water supply and environmental flow. Water Resour Plan Manag 142(12):04016053CrossRefGoogle Scholar
  7. Klemes V (1977) Value of information in reservoir optimization. Water Resour Res 13(5):837–850CrossRefGoogle Scholar
  8. Kranthi K, Srinivasan K (2018) Generalized linear two-point hedging rule for water supply reservoir operation. Water Resour Plan Manag 144(9):04018051CrossRefGoogle Scholar
  9. Neelakantan TR, Pundarikanthan N (1999) Hedging rule optimization for water supply reservoirs system. Water Resour Manag 13(6):409–426CrossRefGoogle Scholar
  10. Niknam T, Sharifinia S, Azizipanah-Abarghooee R (2013) A new enhanced bat-inspired algorithm for finding linear supply function equilibrium of GENCOs in the competitive electricity market. Energy Convers Manag 76:1015–1028CrossRefGoogle Scholar
  11. Reddy VU, Manoj A (2012) Optimal capacitor placement for loss reduction in distribution systems using bat algorithm. IOSR J Eng 02(10):23–27CrossRefGoogle Scholar
  12. Rittima A (2009) Hedging policy for reservoir system operation: a case study of Mun bon and lam Chae reservoirs. Kasetsart J (Nat Sci) 43:833–842Google Scholar
  13. Sheibani H, Shourian M (2019) Determining optimum reliability for supplying agricultural demand downstream of a reservoir using an explicit method with an economic objective function. Water Resour Econ 26:100131CrossRefGoogle Scholar
  14. Shenava N, Shourian M (2018) Optimal reservoir operation with water supply enhancement and flood mitigation objectives using an optimization-simulation approach. Water Resour Manag 32(13):4393–4407CrossRefGoogle Scholar
  15. Singh A, Panda SN (2013) Optimization and simulation modelling for managing the problems of water resources. Water Resour Manag 27(9):3421–3431CrossRefGoogle Scholar
  16. Spiliotis M, Mediero L, Garrote L (2016) Optimization of hedging rules for reservoir operation during droughts based on particle swarm optimization. Water Resour Manag 30(15):5759–5778CrossRefGoogle Scholar
  17. Taghian M, Rosbjerg D, Haghighi A, Madsen H (2014) Optimization of conventional rule curves coupled with hedging rules for reservoir operation. Water Resour Plan Manag 140(5):693–698CrossRefGoogle Scholar
  18. Tu MY, Hsu NS, Tsai FTC, Yeh WWG (2008) Optimization of hedging rules for reservoir operations. Water Resour Plan Manag 134(1):3–13CrossRefGoogle Scholar
  19. Yang XS (2010) A new metaheuristic bat-inspired algorithm. In: Gonzalez JR et al (eds) Nature inspired cooperative strategies for optimization, studies in computational intelligence, vol 284. Springer, Berlin, pp 65–74Google Scholar
  20. Yaseen ZM, Allawi MF, Karami H et al (2019) A hybrid bat-swarm algorithm for optimizing dam and reservoir operation. Neural Comput & Applic. CrossRefGoogle Scholar
  21. Zarei A, Mousavi SF, Eshaghi Gordji M et al (2019) Optimal reservoir operation using bat and particle swarm algorithm and game theory based on optimal water allocation among consumers. Water Resour Manag 33(9):3071–3093CrossRefGoogle Scholar

Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Faculty of Civil, Water and Environmental Engineering, Technical and Engineering CollegeShahid Beheshti UniversityTehranIran

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