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The complete categorization of the commonly used robustness metrics considered in this article in accordance with the three transformations (performance value transformation ( T 1 ) (Table Hummel Men’s Cross Court Suede LowTop Sneakers Blue Total Eclipse cheap best prices clearance limited edition genuine cheap online sale pay with visa fVwQKEoQ
), scenario subset selection ( T 2 ) (Table 3 ) and robustness metric calculation ( T 3 ) (Table 4 )), as well as the relative level of risk aversion that is associated with T 2 (Figure free shipping shop hot sale Just Togs Women Nebraska Riding Boots Black size 4 U59s6u0xjP
), is given in Table 5 . It is hoped that this can provide some guidance to decision‐makers in relation to which robustness metric is appropriate for their decision context.

In relation to the performance value transformation ( T 1 ), which robustness metric is most appropriate depends on whether the performance value in question relates to the satisfaction of a system constraint or not, and is therefore a function of the properties of the system under consideration. For example, if the system is concerned with supplying water to a city, there is generally a hard constraint in terms of supply having to meet or exceeding demand, so that the city does not run out of water (Beh et al., 2017 ). The system performs satisfactorily if this demand is met and that is the primary concern of the decision‐maker. Alternatively, there might be a fixed budget for stream restoration activities, which also provides a constraint. In this case, a solution alternative performs satisfactorily if its cost does not exceed the budget. For the above examples, where performance values correspond to determining whether constraints have been met or not, satisficing metrics, such as Starr's domain criterion, are most appropriate.

In contrast, if the performance value in question relates to optimizing system performance, metrics that use the identity or regret transforms would be most suitable. For example, for the water supply security case mentioned above, the objective might be to identify the cheapest solution alternative that enables supply to satisfy demand. However, there might also be concern in over‐investment in expensive water supply infrastructure that is not needed, in which case robustness metrics that apply a regret transformation might be most appropriate, as this would enable the degree of over‐investment to be minimized when applied to the cost performance value. For the stream restoration example, however, decision‐makers might simply be interested in maximizing ecological response for the given budget. In this case, robustness metrics that use the identity transform might be most appropriate when considering performance values related to ecological response.

In relation to scenario subset selection ( T 2 ), which robustness metric is most appropriate depends on a combination of the likely impact of system failure and the degree of risk aversion of the decision‐maker. In general, if the consequences of system failure are more severe, the degree of risk‐aversion adopted would be higher, resulting in the selection of robustness metrics that consider scenarios that are likely to have a more deleterious impact on system performance. For example, in the water supply security case, it is likely that robustness metrics that consider more extreme scenarios would be considered, as a city running out of water would most likely have severe consequences. In contrast, as the potential negative impacts for the stream restoration example are arguably less severe, robustness metrics that use a wider range or less severe scenarios might be considered. However, this also depends on the values and degree of risk aversion of the decision maker.

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Kali Lab S.r.l.

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Publish Date:

2013-05-30

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The description of dealalala

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