A simple calculation model for transport of visitors on a closed circuit
DOI: 10.23977/acss.2023.070104 | Downloads: 4 | Views: 54
Fabrizio Tinebra 1
1 IIS 'Leonardo da Vinci', Via Cavour, 258, 00184, Roma, Italy
Corresponding AuthorFabrizio Tinebra
It is examined a very simple, geometrically closed configuration concerning transport systems. The problem analyzed is a multi-objective optimization problem, in which an ever increasing set of visitors is urged to visit and move from a given set of sites on a closed path. An essentially kinematic approach is developed and the performance evaluation is obtained by means of a combinations of variables. It is also examined a particular realization in which one makes use of C_0-functions instead of discrete variables, in the spirit of classical mathematical physics. Some features of the model show relevant differences with others concerned with traffic and transport problems, for the presence of Diophantine integral evolution equations in place of statistical and/or numerical complex evaluation methods. This work is the first part of a more thorough discussion on dynamical equations in transport systems, including simulations and optimization schemes.
KEYWORDSTransport systems, diffusion, kinematic model, optimization
CITE THIS PAPER
Fabrizio Tinebra, A simple calculation model for transport of visitors on a closed circuit. Advances in Computer, Signals and Systems (2023) Vol. 7: 22-36. DOI: http://dx.doi.org/10.23977/acss.2023.070104.
 McKnight, C. et al.: Impact of Congestion on Bus Operations and Costs, Fin. Rept. FHWA-NJ-2003-008, Univ. Transp. Res. Center, Ed. Kondrath, New Jersey (2003)
 Vuchic, V.: Urban Transit System and Technology, John Wiley & Sons Inc. eds., Canada (2007).
 Grava, S.: Urban Transportation Systems, Mc Graw - Hill, New York (2005).
 Cortes, C., Burgos, V., Fernandez, R.: Modelling passengers, buses and stops in traffic microsimulation. Review and extensions, J. Adv. Transp., 44, 72 (2010).
 Israel Schwarzlose, A.A. et al.: Willingness to pay for public transportation options for improving the quality of life of the rural elderly, Transportation Resewarch Part A, Elsevier, 61, 1-14 (2014).
 Krajzewicz, D.: Traffic simulation with sumo-simulation of urban mobility, Fundamentals of Traffic Simulation, pages 269-293, Civitas. Warsaw (2011)
 Messina, M.G. et al. : Sistema di monitoraggio e previsione della mobilitá veicolare per l’integrazione tra la rete della illuminazione pubblica e la rete della mobilitá, Rept. of El. Sys., ENEA & Univ. of Rome "La Sapienza", Rome. Cascajo, R., Hernandez, S., Monzon, M.: Quality of bus services performance: Benefits of real time passenger information systems, Transport and Telecommunication Journal, 14(2), 155 (2013).
 Tran, V.T., Eklund, P.: Evolutionary Simulation for a Public Transit Digital Ecosystem: a case study, conference in Proceed. Fifht Int. Conf. Management Emergent Digital Ecosystems, 25 - 32, Luxembourg (2013).
 Cats, O., Larijani, A.N. et al.: Holding Control Strategies: A simulation based evaluation and guidelines for implementation, Transportation Research Record, 2274, 100-108 (2012).
 Ceder, A.: Public Transit Planning and Operation, Elsevier ed., Amsterdam (2008).
 Panero, M., Shic, H.-S. et al.: Peer-to-Peer Information Exchange on Bus Rapid Transit and Bus Priority Best Practices, FTA Report N.0009, New York Univ., NY (2013).
 Raghavan, S. et al.: Assess Impacts and Benefits of Traffic Signals Priority for Buses, Final Report, National Centre for Transportation and Indusyrial Productivity, New Jersey Inst. Techn. (2005).
 Daganzo, C.F.: Public Transportation Systems: Basic Principles of System Design, Operational Planning and Real-Time Control, ITS Berkeley, University of California, October (2010).
 Mischler, S., Mouhot, C., Wennberg, B. : A new approach to quantitative propagation of chaos for drift, diffusion and jump processes, Probability Theory and Related Fields, arXiv: 1101.4727 [math:PR] (2014) and references therein.
 Islam, M.A.: Einstein - Smoluchowski Diffusion Equation: A Discussion, Physica Scripta, 70, 120 (2004) and references therein. 1.