Abstract
We consider an example to show that the minimum instantaneous cost path principle, as suggested in Friesz et al. [1] for generalising Wardrop's first principle to the dynamic state, may cause some drivers' routes to “loop”. These looping routes traverse the same link more than once - indeed, in our example six times.
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T. L. Friesz, J. Luque, R. L. Tobin and B.-W. Wie, Dynamic network traffic assignment considered as a continuous time optimal control problem, Operations Research 37(1989)893–901.
J.G. Wardrop, Some theoretical aspects of road traffic research, Proc. Instit. Civ. Eng., Part II, 1 (1952) 325–362.
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The work reported in this paper has been partly funded by the Science and Engineering Research Council of the United Kingdom.
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Ghali, M.O. A note on the minimum instantaneous cost path of the dynamic traffic assignment problem. Ann Oper Res 60, 115–120 (1995). https://doi.org/10.1007/BF02031942
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DOI: https://doi.org/10.1007/BF02031942