3,004 research outputs found
Distance Oracles for Time-Dependent Networks
We present the first approximate distance oracle for sparse directed networks
with time-dependent arc-travel-times determined by continuous, piecewise
linear, positive functions possessing the FIFO property.
Our approach precomputes approximate distance summaries from
selected landmark vertices to all other vertices in the network. Our oracle
uses subquadratic space and time preprocessing, and provides two sublinear-time
query algorithms that deliver constant and approximate
shortest-travel-times, respectively, for arbitrary origin-destination pairs in
the network, for any constant . Our oracle is based only on
the sparsity of the network, along with two quite natural assumptions about
travel-time functions which allow the smooth transition towards asymmetric and
time-dependent distance metrics.Comment: A preliminary version appeared as Technical Report ECOMPASS-TR-025 of
EU funded research project eCOMPASS (http://www.ecompass-project.eu/). An
extended abstract also appeared in the 41st International Colloquium on
Automata, Languages, and Programming (ICALP 2014, track-A
Hierarchical Time-Dependent Oracles
We study networks obeying \emph{time-dependent} min-cost path metrics, and
present novel oracles for them which \emph{provably} achieve two unique
features: % (i) \emph{subquadratic} preprocessing time and space,
\emph{independent} of the metric's amount of disconcavity; % (ii)
\emph{sublinear} query time, in either the network size or the actual
Dijkstra-Rank of the query at hand
Optimal Time-dependent Sequenced Route Queries in Road Networks
In this paper we present an algorithm for optimal processing of
time-dependent sequenced route queries in road networks, i.e., given a road
network where the travel time over an edge is time-dependent and a given
ordered list of categories of interest, we find the fastest route between an
origin and destination that passes through a sequence of points of interest
belonging to each of the specified categories of interest. For instance,
considering a city road network at a given departure time, one can find the
fastest route between one's work and his/her home, passing through a bank, a
supermarket and a restaurant, in this order. The main contribution of our work
is the consideration of the time dependency of the network, a realistic
characteristic of urban road networks, which has not been considered previously
when addressing the optimal sequenced route query. Our approach uses the A*
search paradigm that is equipped with an admissible heuristic function, thus
guaranteed to yield the optimal solution, along with a pruning scheme for
further reducing the search space. In order to compare our proposal we extended
a previously proposed solution aimed at non-time dependent sequenced route
queries, enabling it to deal with the time-dependency. Our experiments using
real and synthetic data sets have shown our proposed solution to be up to two
orders of magnitude faster than the temporally extended previous solution.Comment: 10 pages, 12 figures To be published as a short paper in the 23rd ACM
SIGSPATIA
Dynamic User Equilibrium (DUE)
The quantitative analysis of road network traffic performed through static
assignment models yields the transport demand-supply equilibrium under
the assumption of within-day stationarity. This implies that the relevant
variables of the system (i.e. user flows, travel times, costs) are assumed to
be constant over time within the reference period. Although static
assignment models satisfactorily reproduce congestion effects on traffic flow
and cost patterns, they do not allow to represent the variation over time of
the demand flows (i.e. around the rush hour) and of the network
performances (i.e. in presence of time varying tolls, lane usage, signal plans,
link usage permission); most importantly, they cannot reproduce some
important dynamic phenomena, such as the formation and dispersion of
vehicle queues due to the temporary over-saturation of road sections, and
the spillback, that is queues propagation towards upstream roads
- …