Quasi-continuous dynamic equilibrium assignment with departure time choice in congestedunidirectional pedestrian networks

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Abstract

Although walking has been considered as an important transport mode, pedestrian modelling has received little attention in either academic or practising circles. There is an increasing need for methods that can be used to help the planning, design and management of pedestrian traffic systems. This paper presents a nonlinear programming formulation of thedynamic pedestrian equilibrium assignment problem based on the following assumptions. The pedestrian traffic systemin a congested urban area can be modelled as a capacitated network with alternative walkway sections. People in thispedestrian network make such decisions as selecting departure time and walking path between origins and destinations(OD). The study horizon is divided equally into shorter time intervals of 5-10 minutes each, for which the pedestriandeparture time matrices are given by a logit formula. It is dependent on the predetermined departure time costs and theequilibrium OD walking costs. In the proposed model, a ‘quasi-continuous’ technique is adopted to smooth out thetransitions of various variables between time intervals and to satisfy the first-in-first-out discipline. A heuristic algorithmthat generates approximate solutions to the model is presented. The numerical results in a real network shows that themodel and algorithm proposed in this paper are able to capture the main characteristics of the departure time and routechoices in congested unidirectional pedestrian traffic systems.
Original languageEnglish
Pages (from-to)97-107
Number of pages11
JournalJournal of the Operational Research Society
Volume53
Issue number1
DOIs
Publication statusPublished - 1 Jan 2002

ASJC Scopus subject areas

  • Management Information Systems
  • Strategy and Management
  • Management Science and Operations Research
  • Marketing

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