The Objective Function and Our Minimization Problem

Abstract

In the preceding chapter we arrived at the constraints (4.5) and (k.6) of our aggregate problem. The constraints (k.6) reflect the obvious restriction that the proportion of trips from and to each area must equal the given proportions of people living and working respectively in each area. (Incidentally, the division of the studied region into living areas may be different from the division into working areas and the number of living areas may be different from the number of working areas, which means that T _ij need not be a square matrix.) The constraint (4.5) on the other hand reflects in a very crude and overall way a general desire of preserving some of the variation or interactivity or accessibility or freedom of choice of the individual trip makers (Confer Chapter 8). In a specific application it would of course be possible to add more specific constraints related to accessibility. This would ruin, however, the nice form of the solutions which makes the computations fairly easy. Other ways of computing may be used so that the addition of other constraints is possible. We shall limit ourselves, however, to the constraints (4.5) and (4.6).