• Home
  • Search
  • An Extended Hierarchical Statistical Sensitivity Analysis Method for Multilevel Systems With Shared Variables
  • https://doi.org/10.1115/detc2009-87434Copy DOI Icon

An Extended Hierarchical Statistical Sensitivity Analysis Method for Multilevel Systems With Shared Variables

  • Jan 1, 2009
  • Yu Liu +4 more
Show More
  • Abstract
  • Literature Map
  • References
  • Similar Papers
Abstract

Statistical sensitivity analysis (SSA) is an effective methodology to examine the impact of variations in model inputs on the variations in model outputs at either a prior or posterior design stage. A hierarchical statistical sensitivity analysis (HSSA) method has been proposed in literature to incorporate SSA in designing complex engineering systems with a hierarchical structure. However, the original HSSA method only deals with hierarchical systems with independent subsystems. Due to the existence of shared variables at lower levels, responses from lower level submodels that act as inputs to a higher level subsystem are both functionally and statistically dependent. For designing engineering systems with dependent subsystem responses, an extended hierarchical statistical sensitivity analysis (EHSSA) method is developed in this work to provide a ranking order based on the impact of lower level model inputs on the top level system performance. A top-down strategy, same as in the original HSSA method, is employed to direct SSA from the top level to lower levels. To overcome the limitation of the original HSSA method, the concept of a subset SSA is utilized to group a set of dependent responses from lower level submodels in the upper level SSA. For variance decomposition at a lower level, the covariance of dependent responses is decomposed into the contributions from individual shared variables. To estimate the global impact of lower level inputs on the top level output, an extended aggregation formulation is developed to integrate local submodel SSA results. The importance sampling technique is also introduced to re-use the existing data from submodels SSA during the aggregation process. The effectiveness of the proposed EHSSA method is illustrated via a mathematical example and a multiscale design problem.

Similar Papers
  • Book Chapter
  • Citations9

Quasi-Three-Level Lasers

  • Jan 01, 1993
  • T Y Fan
  • Research Article

AB0484 TROUGH LEVELS OF TNF-Α INHIBITORS AND THEIR IMMUNOGENICITY IN THE TREATMENT OF RHEUMATIC DISEASES AND INFLAMMATORY BOWEL DISEASES

  • May 19, 2021
  • Annals of the Rheumatic Diseases
  • T Nuriakhmetova +3
  • Discussion
  • Citations5

In Defense of Low Glucose Level in Pleural Fluid

  • Feb 01, 1980
  • Chest
  • Steven A Sahn +1
  • Book Chapter

CHAPTER 5 - SPECIFYING OBJECTIVES AND ATTRIBUTES OF SITING STUDIES

  • Jan 01, 1980
  • Siting Energy Facilities
  • Ralph L Keeney
  • Front Matter

A Reply to Lormand

  • Jun 01, 2000
  • Consciousness and Cognition
  • Jesse Prinz
  • Research Article
  • Citations8

Soutien social, dépression et estime de soi chez les personnes âgées : les résultats d’une analyse en cluster

  • Feb 09, 2012
  • Annales Médico-psychologiques, revue psychiatrique
  • Emin Altintas +2
  • Abstract
  • Citations1

Transcriptional Analysis Of a Tissue-Specific Factor VIII Knockout Model Demonstrates The Importance Of Endothelial Factor VIII Synthesis

  • Nov 15, 2013
  • Blood
  • Scot A Fahs +2
  • Research Article

Methods for controlling and evaluating residual confounding in the association analysis of observational study with a multicenter database

  • Aug 10, 2023
  • Zhonghua liu xing bing xue za zhi = Zhonghua liuxingbingxue zazhi
  • H Y Zhao +2
  • Research Article

517 POSTER A monoclonal antibody (AR36A36.11.1) with potent in vivo efficacy in multiple human cancer models targets CD59

  • Oct 01, 2008
  • European Journal of Cancer Supplements
  • B Mak +9
  • Research Article
  • Citations110

CONTROL OF RED RING DISEASE BY MASS TRAPPING OF RHYNCHOPHORUS PALMARUM (COLEOPTERA: CURCULIONIDAE)

  • Sep 01, 2002
  • Florida Entomologist
  • A C Oehlschlager +3
  • Research Article
  • Citations12

Human capital, technological progress and the demographic transition*

  • Jan 01, 2000
  • Mathematical Population Studies
  • A Prskawetz +2
  • PDF
  • Research Article
  • Citations8

Toxigenicity of Fusarium Species in Gibberella fujikuroi Species Complex (GFSC) Associated With Stalk and Ear Rot Disease of Corn

  • Dec 30, 2013
  • International Journal of Phytopathology
  • Titi Darnetty +1
  • Research Article
  • Citations20

Evaluation of a second-generation nucleic acid sequence-based amplification assay for quantification of HIV type 1 RNA and the use of ultrasensitive protocol adaptations.

  • Oct 10, 2000
  • AIDS research and human retroviruses
  • Daan W Notermans +11
  • Research Article
  • Citations190

Heritability of milk yield and composition at different levels and variability of production

  • Feb 01, 1983
  • Animal Science
  • W G Hill +3
  • Research Article
  • Citations9

Sprouty2 regulates proliferation and survival of multiple myeloma byinhibiting activation of the ERK1/2 pathway invitro and invivo.

  • Mar 22, 2016
  • Experimental Hematology
  • Yao Yao +11
Cactus Communications logo

Copyright 2026 Cactus Communications. All rights reserved.