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
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
| Hi-index | 12.05 |
Two attributes, the capacity and the lead time, are involved in the quickest path problem which finds a path with the minimum transmission time. The capacity of each edge is assumed to be deterministic in this problem. However, in many real-life networks such as computer, telecommunication, logistics networks, etc., each edge should be multistate due to failure, maintenance, etc. Such a network is named a multistate network. Hence, the minimum transmission time through a multistate network is not fixed. We evaluate the system reliability that a specified amount of data can be sent through a pair of minimal paths simultaneously within the time threshold. A solution procedure is first proposed to calculate it. In order to boost the system reliability, the network administrator decides the routing policy in advance to indicate the first and the second priority pairs of minimal paths. The second one will be responsible for the transmission duty if the first one fails. According to the routing policy, the system reliability can be subsequently computed. The case to transmit data through more than two minimal paths can be extended easily.