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SUMMARY:Equilibrium characterization and computational solutions for depar
 ture time choice with two-dimensional heterogeneity
DTSTART:20260925T103000
DTEND:20260925T113000
DTSTAMP:20261007T014232Z
UID:734e9d8d0d19a2ac4a1a084e95e503ec3e295cd1f35513df4249f832
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Stephen Boyles \nUniversity of Texas at Austin\nVickrey
 's bottleneck\, with a departure time choice equilibrium\, is a classic mo
 del in transportation science.  We consider a variation of this model whe
 re travelers are heterogeneous in their aversion to early or late arrival 
 at the destination.  Unlike past research\, we consider a fairly general 
 case of heterogeneity\, requiring only that the support of the distributio
 n of these parameters be bounded.  We introduce the concept of a "proper 
 division" that converts questions of equilibrium existence\, uniqueness\, 
 and computation into easier questions regarding existence\, uniqueness\, a
 nd computation of a proper division.  Using this technique\, we show that
  there can be at most one equilibrium.  For the case of a discrete distri
 bution over finitely many points\, we present an efficient algorithm for c
 omputing equilibrium.\n\n\nDr. Stephen D. Boyles is Distinguished Teaching
  Professor and Clyde E. Lee Endowed Professor and Distinguished Teaching P
 rofessor in the Fariborz Maseeh Department of Civil\, Architectural\, and 
 Environmental Engineering at The University of Texas at Austin\, and an af
 filiate faculty member with the Operations Research and Industrial Enginee
 ring program.  His research and teaching are in transportation planning\,
  optimization\, game theory\, and network algorithms.  He is lead author 
 of the "Transportation Network Analysis" textbook and has received many aw
 ards in teaching\, research\, university service\, and professional servic
 e\, including being inducted into UT Austin's Academy of Distinguished Tea
 chers\, four best paper awards\, and six national thesis awards for studen
 ts he supervised.  He is licensed as a Professional Engineer in the state
  of Texas\, and has provided occasional consulting services in transportat
 ion data science and analysis.\n\n 
LOCATION:GC B1 10 https://plan.epfl.ch/?room==GC%20B1%2010
STATUS:CONFIRMED
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