The Maximum Capacity Shortest Path Problem: Generation of Efficient Solution Sets

T. Brian Boffey; R. C. Williams; B. Pelegrín; P. Fernandez

RAIRO - Operations Research (2010)

  • Volume: 36, Issue: 1, page 1-19
  • ISSN: 0399-0559

Abstract

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Individual items of flow in a telecommunications or a transportation network may need to be separated by a minimum distance or time, called a “headway”. If link dependent, such restrictions in general have the effect that the minimum time path for a “convoy” of items to travel from a given origin to a given destination will depend on the size of the convoy. The Quickest Path problem seeks a path to minimise this convoy travel time. A closely related bicriterion problem is the Maximum Capacity Shortest Path problem. For this latter problem, an effective implementation is devised for an algorithm to determine desired sets of efficient solutions which in turn facilitates the search for a “best” compromise solution. Numerical experience with the algorithm is reported.

How to cite

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Brian Boffey, T., et al. "The Maximum Capacity Shortest Path Problem: Generation of Efficient Solution Sets ." RAIRO - Operations Research 36.1 (2010): 1-19. <http://eudml.org/doc/105258>.

@article{BrianBoffey2010,
abstract = { Individual items of flow in a telecommunications or a transportation network may need to be separated by a minimum distance or time, called a “headway”. If link dependent, such restrictions in general have the effect that the minimum time path for a “convoy” of items to travel from a given origin to a given destination will depend on the size of the convoy. The Quickest Path problem seeks a path to minimise this convoy travel time. A closely related bicriterion problem is the Maximum Capacity Shortest Path problem. For this latter problem, an effective implementation is devised for an algorithm to determine desired sets of efficient solutions which in turn facilitates the search for a “best” compromise solution. Numerical experience with the algorithm is reported. },
author = {Brian Boffey, T., Williams, R. C., Pelegrín, B., Fernandez, P.},
journal = {RAIRO - Operations Research},
keywords = {Quickest path; shortest path; path capacity; efficient solution.; quickest path; path capacity; efficient solution},
language = {eng},
month = {3},
number = {1},
pages = {1-19},
publisher = {EDP Sciences},
title = {The Maximum Capacity Shortest Path Problem: Generation of Efficient Solution Sets },
url = {http://eudml.org/doc/105258},
volume = {36},
year = {2010},
}

TY - JOUR
AU - Brian Boffey, T.
AU - Williams, R. C.
AU - Pelegrín, B.
AU - Fernandez, P.
TI - The Maximum Capacity Shortest Path Problem: Generation of Efficient Solution Sets
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 36
IS - 1
SP - 1
EP - 19
AB - Individual items of flow in a telecommunications or a transportation network may need to be separated by a minimum distance or time, called a “headway”. If link dependent, such restrictions in general have the effect that the minimum time path for a “convoy” of items to travel from a given origin to a given destination will depend on the size of the convoy. The Quickest Path problem seeks a path to minimise this convoy travel time. A closely related bicriterion problem is the Maximum Capacity Shortest Path problem. For this latter problem, an effective implementation is devised for an algorithm to determine desired sets of efficient solutions which in turn facilitates the search for a “best” compromise solution. Numerical experience with the algorithm is reported.
LA - eng
KW - Quickest path; shortest path; path capacity; efficient solution.; quickest path; path capacity; efficient solution
UR - http://eudml.org/doc/105258
ER -

References

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