Entropy-maximizing methods of transport analysis vis-á-vis a physical system theory modeling framework

Mathur, Mona; Satsangi, P. S.

doi:10.1109/tsmc.1985.6313358

Cited by 3 publications

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“…(I) It has been shown [Mathur and Satsangi, 19851 that transport networks of our illustrative example, when solved using PSTM, yields the same results as by WEMM. This is tendered possible by characterizing all the transport links using exponential relationships as obtained by WEMM between volume of flow variable and level of service variable.…”

Section: Links Between Wemm and Pstmmentioning

confidence: 56%

“…These resulted in the determination of the interactance model of the PSTM whose solutions are identical to those normally developed by WEMM. However, in hrther analysis, it was realized that [Mathur and Satsangi, 19851 for any oiher form of relationships among the transport variables, identical solutions or models could be obtained only when a somewhat awkward form of constraint (related to cost) could be assumed for WEMM. This apriori information could be obtained through hindsight on the basis of the PSTM.…”

Section: Introductionmentioning

confidence: 99%

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Equivalences Between Entropy and Network Models for Transportation Systems

Mathur

Kesavan

1996

International Journal of General Systems

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Rcprinu available dirrclly fmm lhs prinler F'hotmpying pcrmiucd by liccnr onlyTransportation systems studies have been successfully carried out by making use of both probabilistic models based on an entropy maximization principle and deterministic models based on system theory. Specifically. the cenual problem of trip or flow-distribution has k e n handled by the two methods yielding identical results. The paper establishes an equivalence between the two methodologies. This raises a basic question as to how a probIem which has been categorized as probabilistic could ever be solved by a network method which is applicable only to a deterministic system. The Dwer ~o i n l s out that such an auivalence is rendered wssible in this case be-. . . ca& the Wilson [1970jmodel for the transportation problem is c&t into the framework oithe maximum entropy principle by defining cenain proportions as probabilities. In other words. the trip disttibutioo is not an inherently random hen omen on and as such throws ooen the wssibilitv of solvine the ~roblem bv a deterministic method.-.The general implications of such an equivalence are pointed out since they are of possible relevance in many other situations when proportions are interpreted as probabilities.

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Section: Links Between Wemm and Pstmmentioning

confidence: 56%

Section: Introductionmentioning

confidence: 99%