WRRCTR No.81 A Dynamic Water and Related Land Resource Planning Model: It's Application to an Hawaiian Small Water System

Abstract

Planning an optimal system of activities for generating economic goods and services within an existing natural resource capacity is a difficult problem to solve. A mathematical programming model with the capacity to check multiple resource demand and supply compatibility over many time periods was developed as a solution to this type of problem. The characteristics of natural resource supply and the demand of activities were utilized to reduce the number of time periods and to minimize the loss of the dynamic reality of the problem. Reduction in the number of time periods extended the capability of the model in solving complex resource planning problems without oversimplification. The advance in computer memory size and speed has made multi-period mathematical programming models a practical and desirable tool in planning optimal production scheduling and optimal allocation of resources. However, the construction of a large constraint matrix generated by multi-period models remains an obstacle to the use of multi-period linear programming (LP) models. A matrix generator capable of dividing time span according to resource characteristics and TBM-MPS output compatible matrix for LP optimization was developed.