PGP-MIP model for evaluating non-damaging flows in a river system

Abstract

A new pre-emptive goal programming model formulation accounting sequential and gradual changes in flow depths/discharge at a river section is presented. The model is used for evaluating conditions for maximum safe drainage for a river basin in India. The model is applied to Barak river system in India for determining upstream flow sets satisfying downstream flood flow criterion. To account for nonlinearity in flood damage function downstream flow rates are partitioned into a number of flow zones. Logical constraint equations are used to ensure gradual and sequential movement of water in the flow zones. The model is used to determine safe drainage capacity for giving higher priority to basin drainage and downstream flood safety respectively. As determined by the river system properties, the study results reveal the upstream flow combinations satisfying downstream safe flow criterion; depicts nonlinear variations of the sub basins flow with the peak flow rate at the main channel. The study demonstrates applicability of the PGP-MIP model with results that are useful to the study river system.