18,026 research outputs found
A Decomposition Algorithm to Solve the Multi-Hop Peer-to-Peer Ride-Matching Problem
In this paper, we mathematically model the multi-hop Peer-to-Peer (P2P)
ride-matching problem as a binary program. We formulate this problem as a
many-to-many problem in which a rider can travel by transferring between
multiple drivers, and a driver can carry multiple riders. We propose a
pre-processing procedure to reduce the size of the problem, and devise a
decomposition algorithm to solve the original ride-matching problem to
optimality by means of solving multiple smaller problems. We conduct extensive
numerical experiments to demonstrate the computational efficiency of the
proposed algorithm and show its practical applicability to reasonably-sized
dynamic ride-matching contexts. Finally, in the interest of even lower solution
times, we propose heuristic solution methods, and investigate the trade-offs
between solution time and accuracy
A dynamic ridesharing dispatch and idle vehicle repositioning strategy with integrated transit transfers
We propose a ridesharing strategy with integrated transit in which a private
on-demand mobility service operator may drop off a passenger directly
door-to-door, commit to dropping them at a transit station or picking up from a
transit station, or to both pickup and drop off at two different stations with
different vehicles. We study the effectiveness of online solution algorithms
for this proposed strategy. Queueing-theoretic vehicle dispatch and idle
vehicle relocation algorithms are customized for the problem. Several
experiments are conducted first with a synthetic instance to design and test
the effectiveness of this integrated solution method, the influence of
different model parameters, and measure the benefit of such cooperation.
Results suggest that rideshare vehicle travel time can drop by 40-60%
consistently while passenger journey times can be reduced by 50-60% when demand
is high. A case study of Long Island commuters to New York City (NYC) suggests
having the proposed operating strategy can substantially cut user journey times
and operating costs by up to 54% and 60% each for a range of 10-30 taxis
initiated per zone. This result shows that there are settings where such
service is highly warranted
On green routing and scheduling problem
The vehicle routing and scheduling problem has been studied with much
interest within the last four decades. In this paper, some of the existing
literature dealing with routing and scheduling problems with environmental
issues is reviewed, and a description is provided of the problems that have
been investigated and how they are treated using combinatorial optimization
tools
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