scholarly journals Entropy based transportation model: A geometric programming approach

2007 ◽  
Vol 17 (1) ◽  
pp. 43-54 ◽  
Author(s):  
Bablu Samanta ◽  
Kumar Majumder
Keyword(s):  
Regional Planning ◽  
Geometric Programming ◽  
Good Deal ◽  
Programming Approach ◽  
Transportation Model ◽  
Entropy Model ◽  
Entropy Maximization ◽  
Urban And Regional Planning ◽  
Mathematical Programs ◽  
Geometric Programs

The entropy model has attached a good deal of attention in transportation analysis, urban and regional planning as well as in other areas. This paper shows the equivalence of entropy maximization models to geometric programs. To provide a better understanding of this entropy based transportation model they are analyzed by geometric programming. Dual mathematical programs and algorithms are also obtained and are supported by an illustrative example. .

Entropy Maximization and Geometric Programming

1977 ◽  
Vol 9 (4) ◽  
pp. 419-427 ◽  
Author(s):  
J J Dinkel ◽  
G A Kochenberger ◽  
S-N Wong
Keyword(s):  
Sensitivity Analysis ◽  
Convex Function ◽  
Geometric Programming ◽  
Optimal Solution ◽  
Entropy Model ◽  
Entropy Maximization ◽  
Geometric Programs ◽  
Geometric Program

This paper shows the equivalence of entropy-maximization models to geometric programs. As a result we derive a dual geometric program which consists of the minimization of an unconstrained convex function. We develop the necessary duality equivalencies between the two dual programs and show the computational attractiveness of our approach. We also develop some characterizations of the optimal solution of the entropy model which have important implications with regard to postoptimal or sensitivity analysis.

On the Solution of Regional Planning Models via Geometric Programming

1973 ◽  
Vol 5 (3) ◽  
pp. 397-408 ◽  
Author(s):  
J J Dinkel ◽  
G A Kochenberger ◽  
Y Seppälä
Keyword(s):  
Land Use Planning ◽  
Geometric Programming ◽  
Numerical Solutions ◽  
Programming Approach ◽  
Theoretic Model ◽  
Planning Models ◽  
Geometric Programs ◽  
Game Theoretic ◽  
Relationship Of ◽  
The Relationship

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.

Sensitivity Analysis of Regional Planning Models

1977 ◽  
Vol 9 (1) ◽  
pp. 85-98 ◽  
Author(s):  
J J Dinkel ◽  
G A Kochenberger ◽  
S-N Wong
Keyword(s):  
Sensitivity Analysis ◽  
Nonlinear Programming ◽  
Regional Planning ◽  
Geometric Programming ◽  
Optimal Solution ◽  
Point Of View ◽  
Model Parameters ◽  
Entropy Maximization ◽  
Planning Models ◽  
Recent Developments

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.

Planning in Europe: Urban and Regional Planning in the EEC

1984 ◽  
Vol 150 (3) ◽  
pp. 379
Author(s):  
Hugh Clout ◽  
R. H. Williams
Keyword(s):  
Regional Planning ◽  
Urban And Regional Planning

The Local Regulation of Climate Change

2012 ◽  
pp. 454-476 ◽  
Author(s):  
J. R. Deshazo ◽  
Juan Matute
Keyword(s):  
Regional Planning ◽  
Local Governments ◽  
Policy Design ◽  
Ghg Emissions ◽  
Measurement Methods ◽  
Local Policy ◽  
Local Effects ◽  
Local Regulation ◽  
Urban And Regional Planning ◽  
Policy Effects

This article discusses the importance of measuring the greenhouse gas (GHG) effects of urban and regional planning and policy in order to develop and implement policies to reduce GHG emissions. It argues that existing local government GHG measurement methods fail to support the local governments in their evaluation of policy design and the GHG reductions resulting from their policies. The article highlights the need for a large amount of observational data, from different locations and different times, as well as for control variables in order to disentangle local policy effects from nonpolicy and extra-local effects.

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