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Maximal bandwidth problems: a new algorithm based on the properties of periodicity of the system

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  • Papola, Natale
  • Fusco, Gaetano

Abstract

A new approach to arterial progression optimisation, based upon the properties of periodicity in time and space of the system, gives rise to the concept of equivalent systems and module of the system, which allow us to devise a very rapid algorithm for solving a bandwidth maximisation problem. Because inbound speed, outbound speed, and cycle time are synthetically expressed by the module, investigating the dependence of the solution upon these variables is greatly facilitated. The knowledge of the solution as a function of the module makes it possible to determine easily and rapidly the supremum value of the bandwidth, while the availability of a family of maximal bandwidth solutions opens new perspectives in investigating the relationship between bandwidth maximisation and delay and stop minimisation problems.

Suggested Citation

  • Papola, Natale & Fusco, Gaetano, 1998. "Maximal bandwidth problems: a new algorithm based on the properties of periodicity of the system," Transportation Research Part B: Methodological, Elsevier, vol. 32(4), pages 277-288, May.
    • Handle: RePEc:eee:transb:v:32:y:1998:i:4:p:277-288
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    1. Gartner, Nathan H. & Assman, Susan F. & Lasaga, Fernando & Hou, Dennis L., 1991. "A multi-band approach to arterial traffic signal optimization," Transportation Research Part B: Methodological, Elsevier, vol. 25(1), pages 55-74, February.
    2. John D. C. Little, 1966. "The Synchronization of Traffic Signals by Mixed-Integer Linear Programming," Operations Research, INFORMS, vol. 14(4), pages 568-594, August.
    3. Papola, Natale, 1992. "Bandwidth maximization: Split and unsplit solutions," Transportation Research Part B: Methodological, Elsevier, vol. 26(5), pages 341-356, October.
    4. Little, John D. C. & Kelson, Mark D. & Gartner, Nathan H., 1981. "MAXBAND : a versatile program for setting signals on arteries and triangular networks," Working papers 1185-81., Massachusetts Institute of Technology (MIT), Sloan School of Management.
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    1. Fusco, G. & Bielli, M. & Cipriani, E. & Gori, S. & Nigro, M., 2013. "Signal settings synchronization and dynamic traffic modelling," European Transport \ Trasporti Europei, ISTIEE, Institute for the Study of Transport within the European Economic Integration, issue 53, pages 1-7.

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