Results 21 to 30 of about 49,625 (158)

Random assignment and shortest path problems [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2006
We explore a similarity between the $n$ by $n$ random assignment problem and the random shortest path problem on the complete graph on $n+1$ vertices. This similarity is a consequence of the proof of the Parisi formula for the assignment problem given by
Johan Wästlund
doaj   +1 more source

Near-shortest and K-shortest simple paths

open access: yesNetworks, 2005
Summary: We present a new algorithm for enumerating all near-shortest simple (loopless) \(s\)-\(t\) paths in a graph \(G=(V,E)\) with nonnegative edge lengths. Letting \(n=|V|\) and \(m=|E|\), the time per path enumerated is \(O(nS(n,m))\) given a user-selected short-est-path subroutine with complexity \(O(S(n,m))\).
Carlyle, W. Matthew, Wood, R .Kevin
openaire   +2 more sources

Shortest path poset of Bruhat intervals [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
Let $[u,v]$ be a Bruhat interval and $B(u,v)$ be its corresponding Bruhat graph. The combinatorial and topological structure of the longest $u-v$ paths of $B(u,v)$ has been extensively studied and is well-known.
Saúl A. Blanco
doaj   +1 more source

Path planning of a mobile robot among curved obstacles through tangent drawing and trapezoidal decomposition

open access: yesEngineering Science and Technology, an International Journal, 2021
Most of the previous studies on mobile robot path planning consider the obstacles as polygons. However, the complex shaped obstacles should be considered as curves rather than polygons, since the latter may result in non-optimal paths.
Neeta A. Eapen
doaj   +1 more source

A Novel Method for Solving Multi-objective Shortest Path Problem in Respect of Probability Theory

open access: yesTehnički Glasnik, 2023
Transportation process or activity can be considered as a multi-objective problem reasonably. However, it is difficult to obtain an absolute shortest path with optimizing the multiple objectives at the same time by means of Pareto approach. In this paper,
Maosheng Zheng, Jie Yu
doaj   +1 more source

A Load Balancing Shortest Path Routing Algorithm for SRIO Network [PDF]

open access: yesJisuanji gongcheng, 2020
Routing selection algorithms are one of the important factors affecting transmission performance during serial RapidIO transmission.Aiming at the non-optimal allocation path of Serial Rapid Input and Output(SRIO) network depth search,this paper proposes ...
LI Jiawei, ZHANG Ji, ZHAO Juncai, DING Ruyi
doaj   +1 more source

Stochastic Shortest Path Games [PDF]

open access: yesSIAM Journal on Control and Optimization, 1999
Summary: We consider dynamic, two-player, zero-sum games where the ``minimizing'' player seeks to drive an underlying finite-state dynamic system to a special terminal state along a least expected cost path. The ``maximizer'' seeks to interfere with the minimizer's progress so as to maximize the expected total cost.
Patek, Stephen D., Bertsekas, Dimitri P.
openaire   +1 more source

Reconfiguring Shortest Paths in Graphs

open access: yesAlgorithmica, 2022
AbstractReconfiguring two shortest paths in a graph means modifying one shortest path to the other by changing one vertex at a time so that all the intermediate paths are also shortest paths. This problem has several natural applications, namely: (a) repaving road networks, (b) rerouting data packets in a synchronous multiprocessing setting, (c) the ...
Gajjar, Kshitij   +3 more
openaire   +3 more sources

Study on the Shortest Reliable Path of Stochastic Time-Dependent Transportation Networks considering Waiting Time at Signalized Intersections

open access: yesJournal of Advanced Transportation, 2023
Theoretical research is conducted on finding the shortest path with stochastic and time-dependent characteristics of link travel time in urban road networks.
Yanming Sun, Jie Li, Shixian Liu
doaj   +1 more source

Maritime Transport Network in Korea: Spatial-Temporal Density and Path Planning

open access: yesJournal of Marine Science and Engineering, 2023
The increase in maritime traffic and vessel size has strengthened the need for economical and safe maritime transportation networks. Currently, ship path planning is based on past experience and shortest route usage. However, the increasing complexity of
Jeong-Seok Lee   +2 more
doaj   +1 more source

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