Evaluation of alternative growth patterns in urban systems

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Abstract

The paper describes the formulation of the general planning model, TOPAZ (Technique for the Optimum Placement of Activities into Zones) and its application to evaluating and optimizing alternative growth patterns in urban systems.

TOPAZ identifies an urban system as a set of interacting activities to be allocated to a set of zones to maximize an objective of overall benefit less cost of interaction between activities together with the benefit less cost of establishment of the activities, over a set of time periods. The model takes the form of a non-linear assignment problem with linear constraints, and is solved using iterative linear programming.

The model is illustrated by application at a macro level to the evaluation of alternative corridor growth patterns for the city of Melbourne (population 2.4 million) over three time periods, 1970–80–90–2000. Two activities are involved, residential and employment activity, and the interactions consist of work, residential, industrial and commercial trips. The city is divided into forty zones.

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Paper presented at Computers and Operations Research Symposium, 20–21August 1973

Ron Sharpe is currently a Senior Research Scientist at CSIRO (Commonwealth Scientific and Industrial Organization, Australia). He holds the degrees of B.E. (Civil) and M.Eng.Sc. from Melbourne University, and the Ph.D. from Southampton University.

John F. Brotchie is a Senior Principal Research Scientist at CSIRO where he is concerned with optimal design and planning techniques and the systems approach to urban problems. He holds the civil engineering degree from Melbourne University and the D.Eng. degree from the University of California, Berkeley.

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Pat A. Ahern graduated in civil engineering at Melbourne University and worked as a design engineer before joining CSIRO. He is currently studying for his Master's degree at the University of Toronto.

Zohn W. Dickey, Center for Urban and Regional Studies at Virginia Polytechnic Institute and State University. He holds the civil engineering degree from Lehigh University and a doctorate from Northwestern University.

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