Optimal Conjunctive Use Model for Indus Basin

A mathematical model is presented as a tool in facilitating the analysis and optimization of the conjunctive use of surface and ground water resources of a subsystem of the Indus Basin irrigation system in Pakistan. The objective of the study is to determine the size of the canal system, the surface reservoir, and the ground water pumping facilities, such that when the system is operated optimally, the capital, operation, and maintenance costs of meeting given irrigation water requirements are minimized. A mathematical model of the Marala Ravi link canal subsystem, which is uncoupled from other areas of the large, complex Indus Basin irrigation system, is developed. The mathematical programming problem is large scale and must be decomposed into subproblems. The subproblems are solved by dynamic programming whereas the design or outer problem is solved by an efficient direct search technique.