Fibonacci heaps and their uses in improved network optimization algorithms
Journal of the ACM (JACM)
Minimum cost-reliability ratio path problem
Computers and Operations Research
Computers and Operations Research
An algorithm for finding the k quickest paths in a network
Computers and Operations Research
Information Processing Letters
The all-pairs quickest path problem
Information Processing Letters
Finding the k quickest simple paths in a network
Information Processing Letters
Algorithms for the constrained quickest path problem and the enumeration of quickest paths
Computers and Operations Research
Minimum time paths in a network with mixed time constraints
Computers and Operations Research
A heuristic technique for generating minimal path and cutsets of a general network
Computers and Industrial Engineering
Extend the quickest path problem to the system reliability evaluation for a stochastic-flow network
Computers and Operations Research
A label-setting algorithm for finding a quickest path
Computers and Operations Research
An algorithm for ranking quickest simple paths
Computers and Operations Research
Reliability Evaluation for an Information Network With Node Failure Under Cost Constraint
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Computers and Operations Research
IUKM'11 Proceedings of the 2011 international conference on Integrated uncertainty in knowledge modelling and decision making
Performance evaluation for a transportation system in stochastic case
Computers and Operations Research
Stochastic computer network under accuracy rate constraint from QoS viewpoint
Information Sciences: an International Journal
Computers and Electrical Engineering
| Hi-index | 7.29 |
Many studies on hardware framework and routing policy are devoted to reducing the transmission time for a flow network. A time version of the shortest path problem thus arises to find a quickest path, which sends a given amount of data from the unique source to the unique sink with minimum transmission time. More specifically, the capacity of each arc in the flow network is assumed to be deterministic. However, in many real-life networks, such as computer systems, telecommunication systems, etc., the capacity of each arc should be stochastic due to failure, maintenance, etc. Such a network is named a stochastic-flow network. Hence, the minimum transmission time is not a fixed number. We extend the quickest path problem to evaluating the probability that d units of data can be sent under the time constraint T. Such a probability is named the system reliability. In particular, the data are transmitted through two minimal paths simultaneously in order to reduce the transmission time. A simple algorithm is proposed to generate all (d,T)-MPs and the system reliability can then be computed in terms of (d,T)-MPs. Moreover, the optimal pair of minimal paths with highest system reliability could be obtained.