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INFORMS Philadelphia – 2015

397

3 - Optimization of Active Traffic Management Strategies using Mixed

Integer Linear Programming

Joseph Trask, North Carolina State University, 909 Capability Dr,

Raleigh, NC, 27606, United States of America,

jltrask@ncsu.edu

,

John Baugh, Nagui Rouphail, Behzad Aghdashi

In order to reduce congestion and improve travel times Active Traffic

Management (ATM) strategies are often used to better control flow on freeways.

This work presents a Mixed Integer Linear Programming formulation for the

oversaturated method of the Highway Capacity Manual. The model is then used

to optimize and provide insight into the usage of ATM strategies such as hard

shoulder running and ramp metering.

4 - Constrained Optimization for the Morning Commute Problem with

Flat Toll and Nonidentical Commuters

Xiaolei Guo, Associate Professor, University of Windsor, 834

Hacienda Court, Odette School of Business, Windsor, Canada,

guoxl@uwindsor.ca,

Da Xu

We study the morning commute problem with a peak period flat toll on a single

bottleneck. Commuters’ values of time are assumed to be continuously

distributed. We consider that, for public acceptance reason, the toll has a

maximum acceptable toll level and a maximum acceptable length of tolling

period, both exogenously given. Under such a constrained optimization setup, we

investigate the problems of system cost minimization, Pareto improvement, and

revenue maximization.

5 - Research on the Decision Method of Concession Period for Bot

Highway Projects

Yinhua Yang, Huazhng University of Science and Technology,

Luoyu Road 1037,Hongshan District, Wuhan, China,

1143185408@qq.com

Private provision of public roads through build–operate-transfer (BOT) contracts

is increasing around the world. In this paper, based on a flexible BOT contact with

demand updating, We build a decision model of Concession Period for Highway

BOT Projects to maximize social welfare and allow the private sector an

acceptable profit. Finally, we selects a BOT proiect of Guangfu highway for

concession period decision-making analysis.

WA72

72-Room 203A, CC

Design and Analysis of Computer Experiments

Sponsor: Quality, Statistics and Reliability

Sponsored Session

Chair: Ying Hung, Department of Statistics. Rutgers University,

yhung@stat.rutgers.edu

1 - Modeling an Augmented Lagrangian for Improved Blackbox

Constrained Optimization

Robert Gramacy, The University of Chicago, 5807 S Woodlawn

Ave, Chicago, IL, 60605, United States of America,

rbgramacy@chicagobooth.edu

We propose a combination of response surface modeling, expected improvement

(EI), and the augmented Lagrangian (AL) numerical optimization framework,

allowing the statistical model to think globally and the AL to act locally. Our

hybridization presents a simple yet effective solution that allows existing

objective-oriented statistical approaches, like those based on Gaussian process

surrogates and EI, to be applied to the constrained setting with minor

modification.

2 - Empirical Orthogonal Function Calibration with

Simulator Uncertainty

Matthew Pratola, Assistant Professor, The Ohio State University,

1958 Neil Avenue, Columbus, OH, 43210,

United States of America,

mpratola@stat.osu.edu

Model-assisted inference has become increasingly popular when predicting real-

world processes. Computer model calibration is a statistical framework combining

mathematical model simulators of the process with statistical techniques to

improve predictions by treating the simulator as deterministic. However, these

simulators are often uncertain. We develop a Bayesian approach to incorporate

such uncertainty using EOF’s, and map simulator uncertainty into inferences for

parameters and predictions.

3 - Challenges in Solar Power Forecasting Based on Multiple

Computer Models

Youngdeok Hwang, Research Staff Member, IBM Research,

1101 Kitchawan Road, Route 134, Rm 34-224, NY, 10603,

United States of America,

yhwang@us.ibm.com

Solar energy forecasting based on large scale computer model needs to address

some unique challenges. Development of a forecasting system requires both the

accuracy and stability for large scale operation. Statistics has an important role in

quantifying uncertainty and providing guidance to decision-makers in the

market. I will discuss some of these unique challenges and research opportunities

in using complex computer models in solar energy industry.

4 - Multivariate Gaussian Process Model with Sparse

Covariance Estimation

Qiong Zhang, Virginia Commonwealth University, 1015 Floyd

Avenue, Richmond, VA, 23294, United States of America,

qzhang4@vcu.edu

We propose a method to obtain a sparse estimation of the covariance matrix for

multivariate Gaussian process model. We formulate the optimization problem as

the L1 penalized log-likelihood function. To solve the optimization problem, we

applied the majorization-minimization approach and the generalized gradient

descent algorithm. Numerical experiments are provided to show the

computational efficiency of the proposed method.

WA73

73-Room 203B, CC

Reliability Analysis of Complex Engineering Systems

Sponsor: Quality, Statistics and Reliability

Sponsored Session

Chair: Rong Pan, Associate Professor, Arizona State University, P.O. Box

878809, Tempe, AZ, United States of America,

rong.pan@asu.edu

1 - Start-up Demonstration Tests with Sparse Connection

David Coit, Professor, Rutgers University,

coit@rci.rutgers.edu,

Xiaoyue Wang, Xian Zhao

A start-up demonstration test is important for selecting equipment with high

start-up reliability. Based on the concept of sparse connection, three tests with

sparse connection are introduced which are called CSTF with sparse d1, TSCF

with sparse d2 and CSCF with sparse d3 and d4. By finite Markov chain

imbedding approach, probabilistic indexes are given. Besides, the procedure for

obtaining optimal parameters of tests is proposed and new tests have higher

efficiency than traditional ones.

2 - Bayesian Melding Methods for System Reliability Inference using

Multilevel Information

Zhaojun Li, Assistant Professor, Western New England University,

1215 Wilbraham Rd, Springfield, MA, 01119,

United States of America,

zhaojun.li@wne.edu,

Jian Guo

This paper investigates Bayesian melding methods for the system reliability

analysis using various sources of test data and expert knowledge at both

subsystem and system levels. The adaptive Sample Importance Resampling (SIR)

method is proposed to address the computational challenges for updating the

subsystem and system level posterior reliability. System posterior reliability

assessments are compared under three scenarios of available subsystem and

system data and prior information.

3 - Early System Reliability Analysis for New Products using

Existing Components

Xiaoping Du, Professor, Missouri Science and Technology

University, 400 West 13th Street, Toomey Hall, Rolla, MO, 65409,

United States of America,

dux@mst.edu

A new product may use existing components, and predicting its reliability is

difficult due to dependent components. This presentation discusses how to

address this issue. One way is to provide a narrow bound of the system reliability

by a physics-based approach. The other way is to require component designers

provide the relationship between the component reliability and the component

load. This allows for an accurate prediction of the system reliability.

4 - A Computational Bayesian Approach to Dependency Assessment

in System Reliability

Petek Yontay, Research Associate, Arizona State University,

699 S. Mill Ave., Tempe, AZ, 85281, United States of America,

pyontay@asu.edu

, Rong Pan

Due to the increasing complexity of engineered products, it is of great importance

to use a model that can handle the complex reliability dependency among

components, subsystems and systems. We propose a Bayesian network approach

for assessing conditional dependencies within a complex system, using a

hierarchical setting. We estimate the posterior distributions of these conditional

probabilities in the Bayesian network by combining failure information at

component, subsystem and system levels.

WA73