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In this paper, we introduce DE, compare to LP which was considered mathematically decades ago to prove DE’s accuracy, then apply DE to Pleikrong, a reservoir in Vietnam, then discuss about the results. | Vietnam Journal of Mechanics, VAST, Vol. 38, No. 1 (2016), pp. 39 – 48 DOI:10.15625/0866-7136/38/1/6490 RESERVOIR OPTIMIZATION WITH DIFFERENTIAL EVOLUTION Phan Thi Thu Phuong1,∗ , Hoang Van Lai2 , Bui Dinh Tri2 1 Hanoi University of Civil Engineering, Vietnam 2 Institute of Mechanics, Vietnam Academy of Science and Technology, Hanoi, Vietnam ∗ E-mail: phuongimech@yahoo.com Received June 30, 2015 Abstract. Reservoir optimization, is one of recent problems, which has been researched by several methods such as Linear Programming (LP), Non-linear Programming (NLP), Genetic Algorithm (GA), and Dynamic Programming (DP). Differential Evolution (DE), a method in GA group, is recently applied in many fields, especially water management. This method is an improved variant of GA to converge and reach to the optimal solution faster than the traditional GA. It is also capable to apply for a wide range space, to a problem with complex, discontinuous, undifferential optimal function. Furthermore, this method does not require the gradient information of the space but easily find the global solution by a simple algorithm. In this paper, we introduce DE, compare to LP which was considered mathematically decades ago to prove DE’s accuracy, then apply DE to Pleikrong, a reservoir in Vietnam, then discuss about the results. Keywords: Differential evolution, reservoir, optimization. 1. INTRODUCTION Water is one of few main components on the Earth that takes an important role in our life. For an agricultural country like Vietnam, water management has effects on many aspects such as electricity, water supplement, agriculture, and environment, . . . Unfortunately, water is unequally distributed in space and time. To manage the water and distribute it for different purposes, reservoirs have been built and operated. Most of reservoirs are built by blocking the rivers by dams. This detention causes many changes to the rivers and the downstream. That causes many changes to the hydrodynamic
