Estimation of a Healthcare System Based on the Importance Analysis

Zaitseva, Elena; Levashenko, Vitaly; Kostolny, Jozef; Pancerz, Krzysztof

doi:10.1007/978-3-319-16844-9_1

Cited by 6 publications

(7 citation statements)

References 24 publications

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“…11 is a valuable resource for computing a plethora of Importance Measures for the current multi-state system. Importance Measures are used to assess the criticality of individual components within the system, identify system weaknesses, and rank components so as to prioritize potential reliability improvements A crucial map feature in this respect is the capability of the map to perform "Boolean differentiation" or "Boolean differencing" through appropriate map folding [87][88][89][90][91][92][93][94][95][96][97][98][99][100].  Tedious algebraic manipulations were needed in [41][42][43] to prove that ≤ ,…”

Section: Discussionmentioning

confidence: 99%

Reliability Analysis of a Commodity-Supply Multi-State System Using the Map Method

Rushdi

Alsayegh

2019

JAMCS

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A multi-state k-out-of-n: G system is a multi-state system whose multi-valued success is greater than or equal to a certain value j (lying between 1 (the lowest non-zero output level) and M (the highest output level)) whenever at least km components are in state m or above for all m such that 1 ≤ m ≤ j. This paper is devoted to the analysis of a commodity-supply system that serves as a standard gold example of a non-repairable multi-state k-out-of-n: G system with independent non-identical components. We express each instance of the multi-state system output as an explicit function of the multi-valued inputs of the system. The ultimate outcome of our analysis is a Multi-Valued Karnaugh Map (MVKM), which serves as a natural, unique, and complete representation of the multi-state system. To construct this MVKM, we use “binary” entities to relate each of the instances of the output to the multi-valued inputs. These binary entities are represented via an eight-variable Conventional Karnaugh Map (CKM) that is adapted to a map representing four variables that are four-valued each. Despite the relatively large size of the maps used, they are still very convenient, thanks to their regular structure. No attempt was made to draw loops on the maps or to seek minimal formulas. The maps just served as handy tools for combinatorial representation and for collectively implementing the operations of ANDing, ORing, and complementation. The MVKM obtained serves as a means for symbolic analysis yielding results that agree numerically with those obtained earlier. The map is a useful tool for visualizing many system properties, and is a valuable resource for computing a plethora of Importance Measures for the components of the system.

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Section: Discussionmentioning

confidence: 99%

Reliability Analysis of a Commodity-Supply Multi-State System Using the Map Method

Rushdi

Alsayegh

2019

JAMCS

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“…The proposed method permits us to compute (restore) the structure function based on ambiguously and incompletely specified data. The reliability analysis can be implemented based on this function according to typical procedures (Aven, 2014;Zaitseva, 2015) and applied to safety improvement.…”

Section: Discussionmentioning

confidence: 99%

“…The structure function is one of possible mathematical types of models of investigated systems (Aven, 2014;Zaitseva, 2015). The structure function defines a univalent correlation at a system performance level and component states.…”

Section: Backgroundsmentioning

confidence: 99%

“…This method includes the following steps: (a) Collection of clinical data in the repository; (b) Representation of the system model in the form of an FDT (and fuzzy rules induction); and (c) Construction of the structure function based on the FDT. The analysis of system reliability is implemented by typical methods that are developed for structure function representation (Zaitseva, 2016;Zaitseva, 2015). Let us consider the steps for the structure function construction in more detail below.…”

Section: Backgroundsmentioning

confidence: 99%

“…The representation of the system using the structure function allows calculating different indices and measures to estimate the system reliability. One of the basic indices is the system probability at a given system performance level j (j = 0, …, M-1) in a stationary state (Zaitseva, 2015):…”

Section: Construction Of the Structure Function Based On The Fdtmentioning

confidence: 99%

See 2 more Smart Citations

New Methods for Healthcare System Evaluation Using Human Reliability Analysis

Barach

Levashenko

Zaitseva

2017

Proceedings of the Human Factors and Ergonomics Society Annual

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The method of Human Reliability Analysis aims to identify and surface the potential failures of the system resulting from human errors, analyze causes and identify appropriate countermeasures to prevent and reduce the linked risk and resultant patient harm. These methods are well-accepted and integrated into the safety management process in most industries. These methods allow the investigation of medical error and patient harm and to develop the applications of these methods to the problem of adverse reactions to treatment and other associated risks in healthcare. In this paper a new method for evaluation of human factor in healthcare is proposed. Important specifics of this method is the examination based on ambiguously and incompletely specified clinical data with application of principles from Data Mining.

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