Introduction to Linear Programming as a Popular Tool in Optimal Reservoir Operation, a Review

Article history: Received 21 November 2014 Received in revised form 4 December 2014 Accepted 3 January 2015 Available online 28 January 2015

[1]  C. Revelle,et al.  The Linear Decision Rule in Reservoir Management and Design: 1, Development of the Stochastic Model , 1969 .

[2]  L. F. R. Reis,et al.  Water Supply Reservoir Operation by Combined Genetic Algorithm – Linear Programming (GA-LP) Approach , 2006 .

[3]  L. F. R. Reis,et al.  Multi-Reservoir Operation Planning Using Hybrid Genetic Algorithm and Linear Programming (GA-LP): An Alternative Stochastic Approach , 2005 .

[4]  Yu Li,et al.  Joint Operation of the Multi-Reservoir System of the Three Gorges and the Qingjiang Cascade Reservoirs , 2011 .

[5]  P. Venkataraman,et al.  Applied Optimization with MATLAB Programming , 2001 .

[6]  Masatoshi Sakawa,et al.  Interactive multiobjective decision making by the sequential proxy optimization technique: SPOT , 1982 .

[7]  Tibor Illés,et al.  Pivot versus interior point methods: Pros and cons , 2002, Eur. J. Oper. Res..

[8]  Douglas C. Montgomery,et al.  Modified Desirability Functions for Multiple Response Optimization , 1996 .

[9]  Leon S. Lasdon,et al.  Solving nonlinear water management models using a combined genetic algorithm and linear programming approach , 2001 .

[10]  Ralph E. Steuer,et al.  An interactive weighted Tchebycheff procedure for multiple objective programming , 1983, Math. Program..

[11]  A. M. Geoffrion.  Proper efficiency and the theory of vector maximization , 1968 .

[12]  Robert Robere.  Interior Point Methods and Linear Programming , 2012 .

[13]  Faridah Othman,et al.  Developing Optimal Reservoir Operation for Multiple and Multipurpose Reservoirs Using Mathematical Programming , 2015 .

[14]  Wayne L. Winston,et al.  Introduction to mathematical programming , 1991 .

[15]  S. Keller,et al.  Nonlinear least-squares data fitting in Excel spreadsheets , 2010, Nature Protocols.

[16]  Carlos A. Coello Coello,et al.  Evolutionary multi-objective optimization: a historical view of the field , 2006, IEEE Comput. Intell. Mag..

[17]  Kalyanmoy Deb,et al.  Multi-objective Optimization , 2014 .

[18]  Leon S. Lasdon,et al.  Design and Use of the Microsoft Excel Solver , 1998, Interfaces.

[19]  R. Moeini,et al.  Partially and Fully Constrained Ant Algorithms for the Optimal Solution of Large Scale Reservoir Operation Problems , 2008 .

[20]  F. Szidarovszky,et al.  Water resources systems analysis , 2003 .