The purpose of this paper is to demonstrate the applicability of geometric programming to regional land-use planning models. The regional models are of the type where the criterion is maximum accessibility, and the model is constrained by population limits on each district. After a brief discussion of geometric programming, the relationship of total accessibility models to geometric programs is developed and a method of obtaining numerical solutions is presented. Several models are analyzed using the geometric programming approach, including a game theoretic model which is used to generate decentralized plans.
Get full access to this article
View all access options for this article.
References
1.
DuffinR. J.PetersonE. L., forthcoming (a), “Geometric programming with signomials”, Journal of Optimization Theory and Applications.
2.
DuffinR. J.PetersonE. L., forthcoming (b), “Reversed geometric programs treated by harmonic means”, Indiana University Mathematics Journal.
3.
DuffinR. J.PetersonE. L.ZenerC., 1967, Geometric Programming (John Wiley, New York).
4.
PascualL.Ben-IsraelA., 1970, “Constrained maximization of posynomials by geometric programming”, Journal of Optimization Theory and Applications, 5 (2), 73–80.
5.
SeppäläY., 1970, “Criterion function for accessibility, uncertainty problems in regional land-use planning”, BIT, 10, 95–105.
6.
WilsonA. G., 1968, “Models in urban planning: A synoptic review of recent literature”, Urban Studies, 5, 249–276, reprinted in WilsonA. G., 1972, Papers in Urban and Regional Analysis (Pion, London), pp. 3–30.
