Viswanath, Kannan Peeta, Srinivas Salman, Sibel F.
Abstract
We consider a network whose links are subject to independent, random failures due to a disruptive event. The survival probability of a link is increased, if it is strengthened by investment. A given budget is to be allocated among the links with the objective of optimizing the post-event performances of the network. Specifically, we seek to minimize the expected shortest path Length between a specified origin node and destination node in the network. This criterion is defined through the use of a fixed penalty cost for those network realizations in the expectation, that do not have a path connecting the origin node to the destination node. This problem type arises in the pre-disasters, by upgrading its weakest elements. We model the problem as a two-stage stochastic program in which the underlying probability distribution of the random variables is dependent on the first stage decision variables. Using a path-based approach we construct its equivalent deterministic program and derive structural results for the objective function. We then propose an approximate solution procedure based on a first order approximation the objective function. The procedure is tested by numerical experiments on a small-size network. The test results show that it yields very good performance on the instances solved.
Download Info
To download:
If you experience problems downloading a file, check if you have the
proper application to
view it first. Information about this may be contained
in the File-Format links below. In case of further problems read
the IDEAS help
file. Note that these files are not on the IDEAS
site. Please be patient as the files may be large.