Abstract
We view a facility system as a kind of supply chain and model it as a connected graph in which the nodes represent suppliers, distribution centers or customers and the edges represent the paths of goods or information. The efficiency, and hence the reliability, of a facility system is to a large degree adversely affected by the edge failures in the network. In this paper, we consider facility systems' reliability analysis based on the classical p-median problem when subject to edge failures. We formulate two models based on deterministic case and stochastic case to measure the loss in efficiency due to edge failures and give computational results and reliability envelopes for a specific example.
Highlights
Church and Scaparra [1] defined critical infrastructure as those elements which are necessary for life line support and safety
We consider facility systems' reliability analysis based on the classical p-median problem when subject to edge failures
We formulate two models based on deterministic case and stochastic case to measure the loss in efficiency due to edge failures and give computational results and reliability envelopes for a specific example
Summary
Church and Scaparra [1] defined critical infrastructure as those elements which are necessary for life line support and safety. The model is restricted in two ways: it is based upon the assumption that the terrorist or interdictor is successful in each and every strike, and it is based upon the assumption that exactly r facilities will be struck and lost Such a model does address a worst case scenario, but it does not exactly capture the issues that would be key to understanding the range of failures and possible outcomes. It is important to model “worst-case” scenarios, it is important to model and understand the range of possible failures and impacts They proposed a family of models which can be used to model the range of possible impacts associated with the threat of losing one or more facilities to a natural disaster or intentional strike. By “loss” we refer to the edge disruptions (failures) mentioned above or, sometimes the necessary closure
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