Titlebook: Optimal Spatial Interaction and the Gravity Model; Sven Erlander Book 1980 Springer-Verlag Berlin Heidelberg 1980 Gravitationsmodell (Wirt

DALLY

Some Comments Upon Entropy MaximizingIt is interesting to note that the absolutely continuous distributions discussed in the previous section are the solutions to the following three problems:.(Kagan-Linnik-Radhakrishna Rao, 1973).

格言

The Gravity Model as the Optimal Solution of the Entropy Constrained Aggregate Linear ProgramThe entropy constrained aggregate linear program (5.2) has linear objective function and convex feasible region. Thus there is always an optimal solution, if there is any feasible point at all.

AGGER

Sensitivity and the Dual ProgramIn Chapter 6 we briefly discussed the value of the objective function . at an optimal solution X* as a function of the entropy level .. We shall now make this more precise and also consider the dependence of the other right hand members a and b.

晚间

Interactivity and EntropyThe most commonly used measures of accessibility are of the Hansen type (Hansen, 1959), i. e. .“Accessibility ... is a slippery notion., one of those common terms that everyone uses until faced with the problem of defining and measuring it”, Gould (1969).

aesthetic

Benefit Measures and the Gravity ModelIn Chapter 5 we introduced total costs . as a natural efficieney measure. Together with the entropy constraint this led into the formulation of our minimum problem (5.1) (or equivalently, (5.2)).

Lipoprotein

Modal SplitWe have already mentioned that the minimization problem (5.1) can be extended in several directions. Here we shall discuss simple extensions to modal split formulations.

白杨

CRAFT

Entropy Constrained Aggregate Linear ProgramWe saw in the previous chapter that the original problem in utility form, problem (12.5) which is a . formulation, corresponds to a . formulation, problem (12.9), in the sense that optimal solutions to the latter are optimal also in the former.

宽大

Lecture Notes in Economics and Mathematical Systemshttp://image.papertrans.cn/o/image/702924.jpg

额外的事

https://doi.org/10.1007/978-3-642-45515-5Gravitationsmodell (Wirtsch; ); Gravity; Interaction; Optimierung; Transportproblem; algorithms; linear opt