Time-dependent models are of great importance in road engineering as they are appro-priate for evaluating waiting times and queue lengths at intersections, which are integralparts of various activities in planning, verification and decision support for infrastructure.After reviewing the literature of the main time-dependent models based on the coordinatetransformation method and a discussion about some computational issues in time-evo-lution profiles for non-signalised intersections, the paper identifies the requirements thesemodels have to satisfy in order to be used as“basic”cases for analysing complex evolu-tionary situations. Three“basic”cases are presented with their time-dependent equationsfor vehicle waiting times and vehicle number; they have been completed and dimen-sionally homogenised in this paper. As they are recursive, these formulas can be appliedfor sequential intervals in the time domain in both vehicles and passenger car units. Theclosed-form expressions for state variables show to be mutually equivalent in comparisonwith discrete event simulation models and imbedded Markov chain results. For all thethree models the paper presents a common deterministic simplification for averagewaiting time, with good approximation results in the tested cases. The proposed time-dependent formulas will contribute to a better adherence to the real phenomena,compared to the extremely simplified and unrealistic methods suggested by the interna-tional manuals for level of service assessment. The proposed formulas will be useful forcurrent applications and possible future development in order to meet the emerging needsof road and transport engineering.

State of the art and computational aspects of time-dependent waiting models for non-signalised intersections / Mauro, Raffaele; Pompigna, Andrea. - In: JOURNAL OF TRAFFIC AND TRANSPORTATION ENGINEERING. - ISSN 2095-7564. - 297:(2020). [10.1016/j.jtte.2019.09.007]

State of the art and computational aspects of time-dependent waiting models for non-signalised intersections

Mauro, Raffaele;Pompigna, Andrea
2020-01-01

Abstract

Time-dependent models are of great importance in road engineering as they are appro-priate for evaluating waiting times and queue lengths at intersections, which are integralparts of various activities in planning, verification and decision support for infrastructure.After reviewing the literature of the main time-dependent models based on the coordinatetransformation method and a discussion about some computational issues in time-evo-lution profiles for non-signalised intersections, the paper identifies the requirements thesemodels have to satisfy in order to be used as“basic”cases for analysing complex evolu-tionary situations. Three“basic”cases are presented with their time-dependent equationsfor vehicle waiting times and vehicle number; they have been completed and dimen-sionally homogenised in this paper. As they are recursive, these formulas can be appliedfor sequential intervals in the time domain in both vehicles and passenger car units. Theclosed-form expressions for state variables show to be mutually equivalent in comparisonwith discrete event simulation models and imbedded Markov chain results. For all thethree models the paper presents a common deterministic simplification for averagewaiting time, with good approximation results in the tested cases. The proposed time-dependent formulas will contribute to a better adherence to the real phenomena,compared to the extremely simplified and unrealistic methods suggested by the interna-tional manuals for level of service assessment. The proposed formulas will be useful forcurrent applications and possible future development in order to meet the emerging needsof road and transport engineering.
2020
Mauro, Raffaele; Pompigna, Andrea
State of the art and computational aspects of time-dependent waiting models for non-signalised intersections / Mauro, Raffaele; Pompigna, Andrea. - In: JOURNAL OF TRAFFIC AND TRANSPORTATION ENGINEERING. - ISSN 2095-7564. - 297:(2020). [10.1016/j.jtte.2019.09.007]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/266396
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