M. Niedda et Gm. Sechi, MIXED OPTIMIZATION TECHNIQUE FOR LARGE-SCALE WATER-RESOURCE SYSTEMS, Journal of water resources planning and management, 122(6), 1996, pp. 387-393
Dealing with significantly large design problems for water-resource sy
stems a mixed optimization procedure based on network linear programmi
ng and the subgradient method will be described. Using a linear proble
m formulation, the procedure uses network linear programming as a subp
roblem that assumes the knowledge of design variables. Since inside it
s domain, the global objective functions is a convex piecewise linear
function, a subgradient method is used to obtain the direction of the
improvement of design variables at each iteration using the solutions
of the network subproblem. The mixed technique permits an efficient ev
aluation of the design variables in order to reach a good approximatio
n of the global objective function optimum. The solution technique per
forms well in the purely linear case and, moreover, allows some kinds
of nonlinearities in the cost functions of design variables.