Abstract
A facility system can be modeled by a connected graph in which the vertices represent entities such as suppliers, distribution centers or customers and the edges represent facilities such as 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. Such failures may be caused by various natural disasters or terrorist attacks. In this paper, we consider facility systems’ reliability analysis based on the classical uncapacitated fixed-charge location problem when subject to edge failures. For an existing facility system, 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
It is well known that facility location decisions are strategic in a supply chain, or more generally speaking, in a facility system design, since facility location decisions are costly and difficult to reverse, and their impact spans a long time horizon.We use the term “facility” here in its broadest sense
For an existing facility system, 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
We will 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 reliabil
Summary
It is well known that facility location decisions are strategic in a supply chain, or more generally speaking, in a facility system design, since facility location decisions are costly and difficult to reverse, and their impact spans a long time horizon. Every facility system in operation maybe faces various disruptions. Such disruptions have begun to receive significant attention from practitioners and researchers after the terrorist attacks of September 11, 2001. Facility system disruptions are caused by the failures of edges, e.g., closure of highway because of the inclement weather, traffic jam, road damage caused by earthquakes or debris flows. We will 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 reliabil-. By “loss” we refer to the edge disruptions (failures) mentioned above or, sometimes the necessary closure
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