@article{1476627,
      recid = {1476627},
      author = {Friesz, Terry L., and Han, Ke,},
      title = {Dynamic network user equilibrium /},
      publisher = {Springer,},
      address = {Cham, Switzerland :},
      pages = {1 online resource (401 p.).},
      year = {2022},
      note = {Description based upon print version of record.},
      abstract = {This book presents advanced research in a relatively new  field of scholarly inquiry that is usually referred to as  dynamic network user equilibrium, now almost universally  abbreviated as DUE. It provides the first synthesis of  results obtained over the last decade from applying the  differential variational inequality (DVI) formalism to  study the DUE problem. In particular, it explores the  intimately related problem of dynamic network loading,  which determines the arc flows and effective travel delays  (or generalized travel costs) arising from the expression  of departure rates at the origins of commuter trips between  the workplace and home. In particular, the authors show  that dynamic network loading with spillback of queues into  upstream arcs may be formulated as a differential algebraic  equation system. They demonstrate how the dynamic network  loading problem and the dynamic traffic user equilibrium  problem may be solved simultaneously rather than  sequentially, as well as how the first-in-first-out queue  discipline may be maintained for each when  Lighthill-Whitham-Richardson traffic flow theory is used. A  number of recent and new extensions of the DVI-based theory  of DUE and corresponding examples are presented and  discussed. Relevant mathematical background material is  provided to make the book as accessible as possible.},
      url = {http://library.usi.edu/record/1476627},
      doi = {https://doi.org/10.1007/978-3-031-25564-9},
}