This paper exploits recent developments in sensitivity (postoptimal) analysis in nonlinear programming and applies them to regional planning models. In particular the geometric programming point of view is used to develop sensitivity analysis procedures for entropy-maximization and accessibility models. As a result of these developments, we analyze changes in the model parameters with respect to changes in the optimal solution without resolving the model. Several examples are used to illustrate the basic procedures and some error reducing refinements.
Get full access to this article
View all access options for this article.
References
1.
BigelowJ HShapiroN Z, 1974“Implicit function theorems for mathematical programming and systems of inequalities”Mathematical Programming6141–156
2.
CharnesARaikeW MBettingerC O, 1972“An extremal and information—theoretic characterization of some intrazonal transfer models”Socio-Economic Planning Science6531–537
3.
DinkelJ JKochenbergerG A, 1973“A note on substitution effects in geometric programming”Management Science201141–1143
4.
DinkelJ JKochenbergerG A, 1976“Sensitivity analysis in geometric programming”Operations Research (forthcoming)
5.
DinkelJ JKochenbergerG AMcCarlB, 1976“Computational aspects of polynomial geometric programming algorithms”Journal of Optimization Theory and Applications19233–259
6.
DinkelJ JKochenbergerG ASeppalaY, 1973“On the solution of regional planning models via geometric programming”Environment and Planning5397–408
7.
DinkelJ JKochenbergerG AWongS-N, 1977“Entropy maximization and geometric programming”Environment and Planning A9 (forthcoming)
DuffinR JPetersonE LZenerC, 1967Geometric Programming (John Wiley, New York)
10.
SeppalaY, 1970“Criterion functions for accessibility, uncertainty problems in regional land use planning”BIT1095–105
11.
TheilH, 1972“Substitution effects in geometric programming”Management Science1925–30
12.
VickermanR W, 1974“Accessibility, attraction, and potential: a review of some concepts and their use in determining mobility”Environment and Planning A6675–691
13.
WilsonA G, 1970Entropy in Urban and Regional Modelling (Pion, London)
14.
WilsonA G, 1974Urban and Regional Models on Geography and Planning (John Wiley, Chichester)
15.
WilsonA GSeniorM L, 1974“Some relationships between entropy maximizing models, mathematical programming, and their duals”Journal of Regional Science14207–215
16.
ZangwillW I, 1969Nonlinear Programming (Prentice-Hall, Englewood Cliffs, NJ)