Robustness Testing of Model Based Multiple Criteria Decisions: Fundamentals and Applications

2015 ◽  
Vol 14 (05) ◽  
pp. 1035-1062
Author(s):  
Andrzej P. Wierzbicki ◽  
Marek Makowski ◽  
Janusz Granat
Keyword(s):  
Sensitivity Analysis ◽  
Multiple Criteria ◽  
Decision Situation ◽  
Combined Model ◽  
Robustness Testing ◽  
Scalar Optimization ◽  
Basic Assumptions ◽  
Basic Model ◽  
The Impact

Robustness or insensitivity is a desirable property of decisions; however, most texts on robustness and/or sensitivity analysis do not define it precisely. A broad literature in this field concentrates on robust design of decisions (including robust optimization). This paper focuses on robustness testing, that is, checking whether a design has actually resulted in robust properties of the system if some of basic assumptions are changed. We propose a general framework of such robustness testing and show that robustness is a property of the relation between three (classes of) models: a basic model of the decision situation, a second model of possible perturbations of the first model, and a model of implementation of the decision, optionally taking into account some measurements of the impact of perturbations. Typical approaches to robustness or sensitivity analysis assume tacitly that the first two models can be combined and analyze parameters deviations in one combined model. However, the role of the first two models can be asymmetric if some optimization of the decision is performed on the first model. We extend this framework, intended originally for single criteria (scalar) optimization to multiple criteria (vector) optimization. The proposed approach is illustrated by diverse examples.

Numerical Solution of the Bio-Heat Transfer Equation with Uncertain Parameters Using the Sensitivity Analysis Methods

2017 ◽  
Vol 379 ◽  
pp. 39-47 ◽  
Author(s):  
Bohdan Mochnacki ◽  
Mariusz Ciesielski ◽  
Alicja Piasecka-Belkhayat
Keyword(s):  
Sensitivity Analysis ◽  
Numerical Solution ◽  
Initial Conditions ◽  
Governing Equations ◽  
Interval Numbers ◽  
External Heat Source ◽  
Tissue Heating ◽  
Basic Model ◽  
Heterogeneous Tissue ◽  
The Mathematical Model

In the paper the numerical solution concerning the skin tissue heating in the case of uncertain thermophysical parameters is discussed. The solutions of this type of problems presented previously are based on the application of interval arithmetic. In particular, the parameters appearing in the governing equations and boundary-initial conditions are treated as the interval numbers. Here, the authors propose another approach using for this purpose the methods of sensitivity analysis. The mathematical model of the process concerns the heterogeneous tissue domain subjected to an external heat source. At the stage of numerical modeling both the basic model and the sensitivity ones are solved using the finite difference method. In the final part of the paper, a computational example is presented.

The Influence of Pheromone and Adaptive Vision in the Standard Ant Clustering Algorithm

2005 ◽  
pp. 207-234 ◽  
Author(s):  
Vahid Sherafat ◽  
Leandro Nunes de Castro ◽  
Eduardo Raul Hruschka
Keyword(s):  
Sensitivity Analysis ◽  
Social Behavior ◽  
Swarm Intelligence ◽  
Clustering Algorithm ◽  
Telecommunication Networks ◽  
Benchmark Problem ◽  
Original Algorithm ◽  
Basic Model ◽  
The Social ◽  
Modified Algorithm

Algorithms inspired by the collective behavior of social organisms, from insect colonies to human societies, promoted the emergence of a new field of research called swarm intelligence. The applications of swarm intelligence range from routing in telecommunication networks to robotics. This chapter discusses some of the ideas behind swarm intelligence, focusing on a clustering algorithm motivated by the social behavior of some ant species. The standard ant-clustering algorithm is presented; a brief review from the literature concerning the applications and variations of the basic model is provided; two novel modifications of the original algorithm are proposed and discussed; and a sensitivity analysis of the standard and modified algorithm in relation to some user-defined parameters is performed. A variation of a simple benchmark problem in the field is used to perform the sensitivity analysis of the algorithm and to assess the proposed modifications of the standard algorithm.

Uncertainty and Sensitivity Analysis of Building Energy Demand Model Based on Occupant Behaviors

2011 ◽  
Vol 71-78 ◽  
pp. 411-415
Author(s):  
Zhi Bin Zhao ◽  
Wei Sheng Xu ◽  
Da Zhang Cheng
Keyword(s):  
Sensitivity Analysis ◽  
Real Time ◽  
Energy Demand ◽  
Dynamic Network ◽  
Building Energy ◽  
Demand Model ◽  
Model Framework ◽  
Basic Model ◽  
Dynamic Relation ◽  
Input Parameters

This paper attempts to illustrate Uncertainty Analysis (UA) and Sensitivity Analysis (SA) of real-time building energy demand model, which is derived from the dynamic relation of occupant behaviors and building space. UA and SA are indispensable sections of system development to insure the efficiency and accuracy of the model while there are three essential stage of UA and SA we followed. In terms of UA and SA, it is possible to structure a rational framework of complex dynamic network model, and discover the mapping between building energy demand and particular relation network patterns. We assume, firstly, a multi-mode dynamic relation networks model of occupant behavior, building space and temporal unit tends to be developed, and the definitions of basic model framework are given. Then, in the cases of the definitions in the basic model framework assumption, the propagation of uncertainty is taken into consideration according to the sampling based methods mapping the input parameters patterns onto the predictable results. Finally, we discuss the determination of sensitivity analysis with Morris method and Variance-based methods. In this paper, via UA and SA, our goal is to optimize the mapping procedure of the Dynamic Network Analysis (DNA) in building energy demand model, explore the essential input parameters pattern, and improve the precision of real-time model prediction.

Proposing a Transit Oriented Development Model Through Sensitivity Analysis of the Resident’s Utility Function

2016 ◽  
Vol 20 (2) ◽  
pp. 302-309 ◽  
Author(s):  
Kojin Yano ◽  
◽  
Hirobumi Hashimoto ◽  
Takao Terano ◽  
Keyword(s):  
Sensitivity Analysis ◽  
Utility Function ◽  
Transportation Planning ◽  
Development Model ◽  
Transit Oriented Development ◽  
Traffic Jams ◽  
Basic Model ◽  
Simulation Results ◽  
New Criteria

Transit oriented development (TOD) is a concept related to urban and transportation planning that aims to eliminate traffic jams and decrease CO2emissions. In this paper, we consider the viewpoints of residents when discussing the desirable conditions for developing a TOD system. First, we design a basic model for a utility function of residents and propose new criteria for evaluating TOD systems. Then, we conduct a simulation to confirm the effectiveness of the proposed utility function and criteria. For this confirmation, we apply a sensitivity analysis to the simulation. The simulation results suggest that the proposed criteria can be applied to compare the feasibility of strategies for TOD.

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