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INFORMS Nashville – 2016

144

2 - Stabilizing Gradient Enhanced Kriging With Sparsity Constraints

Peter Qian, University of Wisconsin,re

thepeter.qian@wisc.edu

Gaussian processes are widely used for emulating computer simulations. It is

known that the use of partial derivative information can dramatically improve

function estimation. However, the use of partial derivative information comes at

the cost of high numerical instability. We investigate an approach to mitigate this

instability by exploiting the possibility that some partial derivatives may introduce

enough error due to numerical instability to significantly degrade predictive

accuracy. Experimental results indicate this procedure can dramatically reduce

numerical error in interpolation. Applications to model calibration will also be

discussed.

3 - Model Calibration With Censored Data

Fang Cao, Georgia Institute of Technology, Atlanta, SGA, United

States,

fcao6@gatech.edu

, Shan Ba, William A Brenneman,

Roshan Joseph

The purpose of model calibration is to make inference about the unknown

parameters of a computer model. The Kennedy-O’Hagan approach is widely used

for calibration which accounts for the inadequacy of the computer model while

simultaneously estimating the calibration parameters. In many applications

censorship occurs when exact outcome of the physical experiment is not observed

but is known to fall within a certain region. In such cases KO approach cannot be

used directly and we propose a method to incorporate the censoring information

when performing calibration. The method is applied to study the stability of liquid

and the results show significant improvements over traditional methods.

MA67

Mockingbird 3- Omni

Maintenance and Reliability Planning

Sponsored: Quality, Statistics and Reliability

Sponsored Session

Chair: Murat Kurt, Merck & Co, Inc, 351 N. Sumneytown Pike,

North Wales, PA, 19454, United States,

murat.kurt7@gmail.com

Co-Chair: Anahita Khojandi, University of Tennessee,

everykhojandi@utk.edu

1 - Optimal Design Of Hybrid Sequential Testing For A System With

Mixtures Of One-shot Units

Yao Cheng, Rutgers University, Department of Industrial &

Systems Engineering, Piscataway, NJ, 08809, United States,

yao.cheng.ise@gmail.com

, Elsayed Elsayed

Non Destructive Testing is conducted to determine the functionality of the units

without permanent damage in order to estimate the units’ reliability. In this

presentation, we investigate a system composed of non-identical units with

different characteristics and subjected to hybrid reliability testing (Destructive and

NDT). It is of interest to optimally design the hybrid sequential reliability testing.

After conducting a number of hybrid testing, we decrease the sample size of the

destructive testing as the accuracy of reliability metrics estimation improves.

Eventually, we only need to conduct NDT only. The efficiency and accuracy of the

proposed methods are validated.

2 - Wind Farm Replacement In A Markov Modulated Environment

David Abdul-Malak, University of Pittsburgh,

dta10@pitt.edu,

Jeffrey P. Kharoufeh

In this talk we will present a model for jointly replacing wind turbine components

in a wind farm setting. Components are assumed to degrade in a shared,

exogenous, Markov modulated environment. Continuous state variables and a

high dimensional state space cause the problem to be computationally intractable.

To overcome these complications, structural results are proven and a

reinforcement learning (RL) approach is employed.

3 - An Enhanced Copula-based Prognosis For Proactive

Maintenance Of Lithium-ion Batteries

Zhimin Xi, University of Michigan-Dearborn,

zxi@umich.edu

Data-driven prognostics typically requires sufficient offline training data sets for

accurate remaining useful life (RUL) prediction for the purpose of proactive

maintenance of engineering products. We investigate performances of typical

data-driven methodologies when the amount of training data sets is insufficient to

better understand the methodology limitation. An enhanced copula-based

approach is specifically developed for the scenarios with insufficient run-to-failure

training data sets. RUL prediction of lithium-ion batteries in terms of the capacity

degradation is employed for the demonstration.

4 - Optimizing Periodic Inspection Frequencies For a Class Of

Stochastically Degrading Systems

David Kaufman, University of Michigan-

Dearborn, Dearborn, MI, United States,

davidlk@umich.edu

,

Mahboubeh Madadi, Murat Kurt

We consider existing models that optimize repair-replacement decisions for

systems the degradation status of which follow a discrete time Markov chain over

a set of finite states and can be revealed only by costly inspections. Given worse

conditions imply higher operation costs, we utilize first-order stochastic

dominance relationship among the powers of IFR-structured degradation matrices

to propose approximately-optimal periodic inspection decisions that minimize the

total expected discounted cost due to operation, repair and inspection. We

illustrate our approach through numerical examples.

MA68

Mockingbird 4- Omni

Panel: IOT-enabled Data Analytics: Opportunities,

Challenges and Applications

Sponsored: Quality, Statistics and Reliability

Sponsored Session

Moderator: Kaibo Liu,

kliu8@wisc.edu

1 - LoT-enabled Data Analytics: Opportunities, Challenges

And Applications

Kaibo Liu, University of Wisconsin - Madison,

kliu8@wisc.edu

The goal of this session is to push the frontier in IoT application and the enabled

data analytics research. The session provides a forum where participants can

describe current opportunities, identify important problems and areas of

application, explore emerging challenges, and formulate future research

directions.

2 - LoT And Data Analytics

Tobin Jansenberger, American Family

Insurance,

tjansenb@amfam.com

3 - LoT Analytics

Rong Duan, AT&T,

rongduan@research.att.com

4 - LoT Data Analytics

Subrat Sahu, Caterpillar Inc,

sahu_subrat@cat.com

5 - LoT Data Analytics

Gul Ege, SAS,

Gul.Ege@SAS.com

MA69

Old Hickory- Omni

Game Theory and Competitive Applications

Sponsored: Military Applications

Sponsored Session

Chair: Brian J Lunday, Assistant Professor, Air Force Institute of

Technology, 2950 Hobson Way, WPAFB, OH, 45433,

United States,

brian.lunday@afit.edu

1 - 1 Vs. (n-1) Modeling For Project Scheduling Interdiction

Zachary Little, The Perduco Group, 3610 Pentagon Boulevard

#110, Beavercreek, OH, 45431, United

States,

zach.little@theperducogroup.com

A bilevel programming problem is developed for a one-to-many game involving

project scheduling interdiction. As a coalition, the many (n-1) adversaries aim to

minimize the total cost of a set of project schedules given a time/cost trade-off.

The single interdictor aims to maximize this same total cost for the coalition’s

project schedules. The modeling framework and use of duality are discussed, with

emphasis placed on coalition interaction for this study. Initial results examine the

impact of player perceptions on interdictor and coalition decisions.

2 - Approximate Dynamic Programming For Missile Defense

Interceptor Fire Control

Matthew J Robbins, Air Force Institute of Technology, Wright-

Patterson AFB, OH, United States,

matthew.robbins@afit.edu

,

Michael T Davis, Brian J Lunday

A missile defense system must protect assets against multiple offensive missile

salvos over time. The defender must determine how many interceptors to fire at

each incoming missile. We develop a Markov decision process (MDP) model to

determine optimal fire control policies. Approximate dynamic programming

(ADP) is utilized to explore the efficacy of applying approximate methods to the

problem. We obtain policy insights by analyzing subsets of the state space that

MA67