Abstract:This paper provides an approach for assessing the uncertainty associated with the estimate of the availability of a two-state repairable system. During the design stage it is often necessary to allocate scarce testing resources among various components in an efficient manner. Although there are a variety of importance and uncertainty measures for the reliability of a system, there are limited measures for systems availability. This study attempts to fill the gaps on availability importance measures and provide… Show more
“…For a given site the natural vulnerability is a special case of the site's risk when external supply is zero. For example, equation (16) becomes equation (16(a))…”
Section: Natural Vulnerability Of the System As A Performance Measurementioning
confidence: 99%
“…In addition, Coit and Jin [15] provide a ranking methodology to prioritize testing to minimize the system variance. Recently, Miman and Pohl [16] provided importance measures for the availability and the variance of the availability function for complex systems.…”
Section: Motivation and Relevant Literaturementioning
confidence: 99%
“…Based on equations ( 14) and ( 15) the following reliability measure for site i is given by equation (16).…”
Section: Analysis Of a Series Of Sites With Stock Levelsmentioning
confidence: 99%
“….,11; are exponentially distributed with rates l i and m i respectively. Table 7 provides the probabilities of being mission capable for each region as well as the entire supply chain system where r i is specified by equation (16).…”
Contingency logistic supply chain design and performance are very important for rare events such as natural disasters, terrorist attacks, and other emergency conditions. Although there is ample work on the evaluation of supply chain systems in terms of their profitability and efficiency, there is little work on the effectiveness of the response time of the supply chain, as well as quantitative measures for the robustness of the design and the reliability of the supply chain. Depending on the contingency, the perceived risk may be different for different situations. The level of risk aversion is dependent on the decision maker and the uncertainties associated with the supply and demand for the contingency. In this study the risk associated with shortages due to the uncertainties in supply and demand in the supply chain are modelled using distortion. In addition, a numerical analysis is performed and the sensitivity of the parameters in a contingency logistic supply chain is analysed. Methods to improve the effectiveness of the contingency operation are examined by efficiently allocating available resources, supplies, and time, as well as modelling the decision maker's perception associated with the failure of a particular node. An array of optimization models are formulated and discussed. Each of these models enables a decision maker to examine a variety of trade-offs in a contingency logistics supply chain. For example, one model examines the acquisition of mitigation strategies and the reallocation of resources while taking into consideration the decision maker's risk aversion. The main contribution of this paper is the establishment of an analysis framework for modelling and analysing the risk and reliability of contingency logistic supply chains.
“…For a given site the natural vulnerability is a special case of the site's risk when external supply is zero. For example, equation (16) becomes equation (16(a))…”
Section: Natural Vulnerability Of the System As A Performance Measurementioning
confidence: 99%
“…In addition, Coit and Jin [15] provide a ranking methodology to prioritize testing to minimize the system variance. Recently, Miman and Pohl [16] provided importance measures for the availability and the variance of the availability function for complex systems.…”
Section: Motivation and Relevant Literaturementioning
confidence: 99%
“…Based on equations ( 14) and ( 15) the following reliability measure for site i is given by equation (16).…”
Section: Analysis Of a Series Of Sites With Stock Levelsmentioning
confidence: 99%
“….,11; are exponentially distributed with rates l i and m i respectively. Table 7 provides the probabilities of being mission capable for each region as well as the entire supply chain system where r i is specified by equation (16).…”
Contingency logistic supply chain design and performance are very important for rare events such as natural disasters, terrorist attacks, and other emergency conditions. Although there is ample work on the evaluation of supply chain systems in terms of their profitability and efficiency, there is little work on the effectiveness of the response time of the supply chain, as well as quantitative measures for the robustness of the design and the reliability of the supply chain. Depending on the contingency, the perceived risk may be different for different situations. The level of risk aversion is dependent on the decision maker and the uncertainties associated with the supply and demand for the contingency. In this study the risk associated with shortages due to the uncertainties in supply and demand in the supply chain are modelled using distortion. In addition, a numerical analysis is performed and the sensitivity of the parameters in a contingency logistic supply chain is analysed. Methods to improve the effectiveness of the contingency operation are examined by efficiently allocating available resources, supplies, and time, as well as modelling the decision maker's perception associated with the failure of a particular node. An array of optimization models are formulated and discussed. Each of these models enables a decision maker to examine a variety of trade-offs in a contingency logistics supply chain. For example, one model examines the acquisition of mitigation strategies and the reallocation of resources while taking into consideration the decision maker's risk aversion. The main contribution of this paper is the establishment of an analysis framework for modelling and analysing the risk and reliability of contingency logistic supply chains.
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