A MODEL FOR THE DISTRIBUTION OF RESIDENTIAL ACTIVITY IN URBAN AREAS.

A MODEL IS PRESENTED WHICH IS DESIGNED TO DISTRIBUTE HOUSEHOLDS TO RESIDENTIAL LAND IN AN OPTIMAL CONFIGURATION. THE MODEL WAS CONSTRUCTED FOR THE PENN-JERSEY TRANSPORTATION STUDY AS PART OF A LARGER MODEL DESIGNED TO LOCATE ALL TYPES OF LAND-USING ACTIVITY. FOR THE RESIDENTIAL MODEL, IN A PARTICULAR ITERATIVE PERIOD, THE NUMBER OF HOUSEHOLDS TO BE LOCATED AND THE AMOUNT OF LAND THAT IS EXPECTED TO BE AVAILABLE FOR RESIDENTIAL USE IS FORECAST EXOGENOUSLY. A LINEAR PROGRAM IS USED TO PRODUCE, FOR THE END OF THAT PERIOD, AN OPTIMAL CONFIGURATION OF THE NEW HOUSEHOLDS ON THE AVAILABLE LAND. THIS CONFIGURATION IS OPTIMAL WITH RESPECT TO THE CONFIGURATION OF ALL PREVIOUSLY LOCATED ACTIVITIES, AND CONSTITUTES A PREDICTION OF THE WAY IN WHICH THE FORECAST HOUSEHOLDS WILL LOCATE. THE NOTATION IS PRESENTED OF THE DUAL OF THE ALLOCATION MODEL. LIMITATIONS OF THE MODEL, ALTERNATIVE APPROACHES AND POLICY IMPLICATIONS ARE DISCUSSED. IT IS CONCLUDED THAT THE MODEL HAS IMPLICATIONS AND APPLICATIONS WHICH MAKE IT USEFUL IN A MUCH BROADER RANGE OF DECISION PROBLEMS THAN FOR TRANSPORTATION USE ONLY.