Node Dependency in Multi-Commodity Flow Problem with Applications to Transportation Networks

CICTP 2016 ◽  
2016 ◽  
Author(s):  
Weibin Dai ◽  
Jun Zhang ◽  
Xiaoqian Sun ◽  
Sebastian Wandelt
2020 ◽  
Vol 53 (2) ◽  
pp. 7386-7391
Author(s):  
Luca De Cicco ◽  
Gioacchino Manfredi ◽  
Vittorio Palmisano ◽  
Saverio Mascolo

1992 ◽  
Vol 11 (3) ◽  
pp. 135-139 ◽  
Author(s):  
Frieda Granot ◽  
Michal Penn

Author(s):  
Hang Ma ◽  
Glenn Wagner ◽  
Ariel Felner ◽  
Jiaoyang Li ◽  
T. K. Satish Kumar ◽  
...  

We formalize Multi-Agent Path Finding with Deadlines (MAPF-DL). The objective is to maximize the number of agents that can reach their given goal vertices from their given start vertices within the deadline, without colliding with each other. We first show that MAPF-DL is NP-hard to solve optimally. We then present two classes of optimal algorithms, one based on a reduction of MAPF-DL to a flow problem and a subsequent compact integer linear programming formulation of the resulting reduced abstracted multi-commodity flow network and the other one based on novel combinatorial search algorithms. Our empirical results demonstrate that these MAPF-DL solvers scale well and each one dominates the other ones in different scenarios.


2009 ◽  
Vol 194 (3) ◽  
pp. 888-900 ◽  
Author(s):  
Rene Weiskircher ◽  
Nectarios Kontoleon ◽  
Rodolfo Garcia-Flores ◽  
Simon Dunstall
Keyword(s):  

2020 ◽  
Vol 7 ◽  
pp. 100159
Author(s):  
Bayan Bevrani ◽  
Robert Burdett ◽  
Ashish Bhaskar ◽  
Prasad K.D.V. Yarlagadda

2002 ◽  
Vol 11 (03) ◽  
pp. 259-271 ◽  
Author(s):  
YOONSEO CHOI ◽  
TAEWHAN KIM

We propose an efficient binding algorithm for power optimization in behavioral synthesis. In prior work, it has been shown that several binding problems for low-power can be formulated as multi-commodity flow problems (due to an iterative execution of data flow graph) and be solved optimally. However, since the multi-commodity flow problem is NP-hard, the application is limited to a class of small sized problems. To overcome the limitation, we address the problem of how we can effectively make use of the property of efficient flow computations in a network so that it is extensively applicable to practical designs while producing close-to-optimal results. To this end, we propose a two-step procedure, which (1) determines a feasible binding solution by partially utilizing the computation steps for finding a maximum flow of minimum cost in a network and then (2) refines it iteratively. Experiments with a set of benchmark examples show that the proposed algorithm saves the run time significantly while maintaining close-to-optimal bindings in most practical designs.


1969 ◽  
Vol 17 (1) ◽  
pp. 46-58 ◽  
Author(s):  
B. Rothfarb ◽  
I. T. Frisch
Keyword(s):  

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