A Fixed Route Dial-a-Ride Problem. In proceedings of the 7th Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2015), 25 - 28 Aug 2015, Prague, Czech Republic, pages 313-324, 2015.
Paper
Dial-a-ride (DARP) is a transportation solution with ?exible routes and ?exible schedules. The DARP challenge is to optimally ful?ll a set of pickup and delivery ride requests using a given vehicle ?eet. We hereby present a DARP variant for which the route is known in advance. The problem is then to set up the schedules according to the requests. For a given operation cost, the aim is to maximize user satisfaction, by minimizing the sum of passengers’ waiting times. We introduce algorithms for solving two variants of the ?xed route DARP – one for a ?eet of in?nite capacity vehicles, and one for the more general case of vehicles with heterogeneous capacities. Contrary to general DARP which is NP-hard, the presented algorithms are polynomial in the number of ride requests.
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@INPROCEEDINGS{2015-313-324-P,   author = {H. Ilani and E. Shufan and T. Grinshpoun},
  title = {A Fixed Route Dial-a-Ride Problem},
  booktitle = {In proceedings of the 7th Multidisciplinary International Conference  on Scheduling : Theory and Applications (MISTA 2015), 25 - 28 Aug  2015, Prague, Czech Republic},
  year = {2015},
  editor = {Z. Hanzalek and G. Kendall and B. McCollum and P. Sucha},
  pages = {313--324},
  note = {Paper},
  abstract = { Dial-a-ride (DARP) is a transportation solution with ?exible routes  and ?exible schedules. The DARP challenge is to optimally ful?ll  a set of pickup and delivery ride requests using a given vehicle  ?eet. We hereby present a DARP variant for which the route is known  in advance. The problem is then to set up the schedules according  to the requests. For a given operation cost, the aim is to maximize  user satisfaction, by minimizing the sum of passengers’ waiting times.  We introduce algorithms for solving two variants of the ?xed route  DARP – one for a ?eet of in?nite capacity vehicles, and one for the  more general case of vehicles with heterogeneous capacities. Contrary  to general DARP which is NP-hard, the presented algorithms are polynomial  in the number of ride requests.},
  owner = {Graham},
  timestamp = {2017.01.16},
  webpdf = {2015-313-324-P.pdf} }