Optimization Model of Batutegi Reservoir Operation Pattern by Using Stochastic Dynamic Programming (SDP)

Budi Santoso, Lily Montarcih Limantara, Widandi Soetopo, Sri Wahyuni


This research intends to build the optimization model of water usage downstream of the Way Sekampung River. It is hoped that the upper reservoir release can be optimally adding the discharge of the Way Sekampung River, where the upstream of the Argoguruh weir is reliable to be used as the water needed in the Way Sekampung irrigation area regarding the result of Alt-C cropping pattern manipulation with the area of 55,373 ha and also for intensification. The methodology is used the Stochastic Dynamic Programming (SDP). Using SDP, the optimization model in Batutegi reservoir is hoped to increase the crop intensity in the Rumbia Extension irrigation area of 5,000 ha and give the additional profit for the next (Rp) of the expected value. Based on the existing cropping pattern and the cropping pattern manipulation (crop intensification) in the previous research, the profit is Rp. 37,149,000 per year, which means that on 5% of the area, the cropping pattern manipulation is carried out or 1% of the yearly production for the whole watershed of Way Sekampung irrigation area. The next research using Stochastic Dynamic Programming (SDP) aims to extend the Rumbia extension of 5,000 ha. The results are as follows: the area that can be cropped is 1,082.420 ha, which is 21.68% of the 5,000 ha target or equivalent with the expected value in the amount of Rp. 64,415,350 (18.491%) from the target of Rp. 348,347,000. It is due to reaching the Rumbia extension irrigation area. The expected value based on the income of Alternative-C cropping pattern manipulation is Rp. 3,824,949. After the optimization by using SDP, the income is Rp. 3,879,362,000,000, or the profit is Rp. 64,415,350,000 (= 1.688%) in one crop period in one harvest year. The full profit by using Stochastic Dynamic Programming (SDP) in the Batutegi reservoir is Rp. 101,564,000,000 in one crop period in one harvest year. It is 2.688% of RAAT's existing crop pattern of 2018-2019, prepared by BBWS Mesuji Sekampung.


Keywords: Batutegi, optimization, stochastic dynamic programming, expected value.

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INWRDAM. Decision support system in the field of water resources planning and management, 2001. http://www.nic.gov.jo/inwrdam/dss.htm1

PAVONI B., VOINOV A., and ZHAVORA N. Basin (Watershed) approach as a methodological basis for regional decision making and management in the EX USSR. Hydro-Ecological Institute, Moscow, 1997. http://helios.unive.it/%7Eintas/gaboart.htm1

JUWONO P. T., LIMANTARA L. M., and ROSIADI F. Optimization of irrigation cropping pattern by using linear programming: Case study on irrigation area of Parsanga, Madura Island, Indonesia. Journal of Water and Land Development, 2018, 39: 51–60. https://doi.org/10.2478/jwld-2018-0058

SATTARI, TAGHI M., SALEYMAN K., and FAZLI Ö. Application of deterministic mathematical method in optimizing the small irrigation reservoir capacity. Journal of Faculty of Agriculture Akdeniz University, 2016, 19(2): 261-267. http://ziraatdergi.akdeniz.edu.tr/_dinamik/144/197.pdf

GAKPO E., TSEPHE J., NWONWU F., and VILKOEN M. Application of Stochastic Dynamic Programming (SDP) for the optimal allocation of irrigation water under capacity sharing arrangements. Agrekon, 2005, 44(4): 436-451. https://doi.org/10.1080/03031853.2005.9523721

MIATKOWSKI Z., & SMARZYŃSKA K. Surface Water Resources of Small Agricultural Watershed in the Kujawy Region, Central Poland. Journal of Water and Land Development, 2017, 33: 131-140. https://doi.org/10.1515/jwld- 2017-0028

JUWONO P. T., LIMANTARA L. M., SOETOPO W., and NOPEBRIAN A. Optimization of irrigation cropping pattern (Case Study On Karang Anyar Irrigation Area, Malang Regency, Indonesia). International Journal of GEOMATE, 2018, 15(50): 197-204.

SANTOSO B., LIMANTARA L. M., SOETOPO W., and WAHYUNI S. Optimization model of Batutegi reservoir operation pattern by using the simulation method of cropping pattern for obtaining the economic expected value. Journal of Southwest Jiaotong University, 2021, 56(3): 284-294. https://doi.org/10.35741/issn.0258-2724.56.3.24

BALAI BESAR WILAYAH SUNGAI MESUJI SEKAMPUNG. Publikasi Data Hidrologi 2018. Bandar Lampung, 2018.

DEPARTEMEN PEKERJAAN UMUM DAN PERUMAHAN RAKYAT, DEPARTMENE PEMUKIMAN DAN PRASARANA WILAYAH. Pedoman Konstruksi dan Bangunan: Pengoperasian Waduk Tunggal, 2004. https://qdoc.tips/pengoperasian-waduk-tunggal-pdf-free.html

SOETOPO W. Single reservoir operation. CV. Asrori, Malang, 2010.


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