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INFORMS Philadelphia – 2015

238

MD19

19-Franklin 9, Marriott

Application of Nonlinear Optimization using

Sequential Linear Programming Techniques

with Xpress

Sponsor: Computing Society

Sponsored Session

Chair: Zsolt Csizmadia, Principal Engineer, FICO, FICO House,

Starley Way, Birmingham, B37 7GN, United Kingdom,

zsolt.csizmadia@gmail.com

1 - State of Optimization in Advanced Process Control

Rishi Amrit, Shell International, Houston, TX,

United States of America,

R.Amrit@shell.com

Process Control forms the backbone as well as the driving agent for almost all of

process industries today. Smart algorithms combined with superior computational

capabilities allow us to automate processes in a controlled fashion while

optimizing environmental, safety and economic performance. This talk discusses

recent advances in commercial Advanced Process Control technology by

harnessing the latest developments in the optimization community along with the

challenges going forward.

2 - Modeling Recursive Formulae in Xpress using

Variable Eliminations

Libin Varghese, Lead Modeling Developer, FICO, 1500 Broadway,

Suite 1101, New York, NY, 10036, United States of America,

LibinVarghese@fico.com

Modeling a deposit pricing problem, that optimizes rates for a multiyear period,

involves handling of various recursive formulae that link each time period to the

next. We shall focus on how we modeled the problem in the Mosel modeling

language using the new variable elimination feature of Xpress-Nonlinear and the

performance improvements achieved.

3 - A New Optimality Measure for Sequential Linear

Programming Methods

Zsolt Csizmadia, Principal Engineer, FICO, FICO House,

Starley Way, Birmingham, B37 7GN, United Kingdom,

zsolt.csizmadia@gmail.com

The KKT conditions are regarded as the definite first order optimality conditions

for nonlinear programming though regularity conditions relatively rarely hold in

practice. The convergence of nonlinear optimization algorithms based on first

order approximations often focus on the progress made rather than the solution

properties. We introduce a new optimality measure derived from the KKT

conditions and explore the connection between the convergence of first order

methods and the new measure.

MD20

20-Franklin 10, Marriott

Stochastic Models and Analysis for Cloud Computing

Cluster: Cloud Computing

Invited Session

Chair: Yingdong Lu, IBM Research, 1101 Kitchawan Rd, Yorktown

Heights, United States of America,

yingdong@us.ibm.com

1 - Model Based Autoscaling of Hadoop Clusters

Parijat Dube, IBM, 1101 Kitchawan Road, Yorktown Heights,

United States of America,

pdube@us.ibm.com

, Li Zhang,

Andrzej Kocut, Anshul Gandhi

We develop novel performance models for Hadoop workloads that relate job

execution time to various workload and system parameters such as input size and

resource allocation. We employ statistical techniques to tune the models for

specific workloads, including TeraSort and Kmeans. The tuned models are used to

determine the resources required to successfully complete the Hadoop jobs as per

the user-specified execution time SLA.

2 - Navigating the Amazon Cloud

Aaron Yan, Data Scientist, Gravitant, 11940 Jollyville Road,

#325N, Austin, TX, 78759, United States of America,

aaron.yan@gravitant.com,

Ilyas Iyoob

Selecting the right level of reservation in the cloud is a tricky problem, especially

when there are multiple reservation levels. In this paper, we explore the optimal

levels of reservation for a portfolio of cloud servers that satisfy the CapEx and

OpEx budget. The team has developed a web application that solves this problem

and demonstrates the savings incurred from choosing the correct reservation

pricing models.

3 - Optimal Resource Allocation Algorithms for Cloud Computing

Siva Theja Maguluri, Postdoctoral Researcher, IBM TJ Watson

Research Center, 1101 Kitchawan Road, Yorktown Heights, NY,

10598, United States of America,

smagulu@us.ibm.com

Jobs arrive at a cloud computing system according to a stochastic process and

request resources like CPU, memory, etc and need service for a random amount

of time. These jobs need to be scheduled on servers. The jobs are first routed to

one of the servers when they arrive and are queued at the servers. Each server

then chooses a set of jobs from its queues so that it has enough resources to serve

all of them simultaneously. We present an optimal load balancing and scheduling

algorithm.

MD21

21-Franklin 11, Marriott

Stochastic Models in Healthcare

Sponsor: Health Applications

Sponsored Session

Chair: Sait Tunc, UW-Madison, 3233 Mechanical Engineering Building,

1513 University Avenue, Madison, WI, 53706, United States of

America,

stunc@wisc.edu

Co-Chair: Oguzhan Alagoz, UW-Madison, 3242 Mechanical

Engineering Building, 1513 University Aveneue, Madison, WI, 53706,

United States of America,

alagoz@engr.wisc.edu

1 - Robustness of Markov Decision Processes for Medical

Treatment Decisions

Lauren Steimle, University of Michigan, 1205 Beal Avenue,

Ann Arbor, MI, 48109-2117, United States of America,

steimle@umich.edu,

Brian Denton

Markov decision process (MDP) models are frequently used to study optimal

policies for treatment of patients with chronic diseases. However, these models

can be sensitive to estimates of transition probabilities and rewards. We discuss an

approach for quantifying robustness of MDP-based policies with respect to

parameter uncertainty. We illustrate our findings based on a model for optimal

treatment of blood pressure and cholesterol in patients with type 2 diabetes.

2 - Ambulance Emergency Response Optimization in

Dhaka, Bangladesh

Justin Boutilier, University of Toronto, 5 King’s College Road,

Toronto, ON, M5S 3G8, Canada,

j.boutilier@mail.utoronto.ca

,

Moinul Hossain, Timothy Chan

Dhaka, the capital city of Bangladesh and the tenth largest city in the world, does

not currently have a centralized emergency medical service (EMS) system or 9-1-

1 type number. As a result, patients experience restricted access to healthcare. To

address this problem, we have developed a novel data-driven robust location-

routing model that can be applied to Dhaka and other developing urban centers.

The model uses traffic data collected via GPS to construct an uncertainty set for

travel times.

3 - Score Based Anticipative Transfer Requests in the

Intensive Care Units

Yasin Ulukus, University of Pittsburgh, Pittsburgh PA,

United States of America,

myu1@pitt.edu,

Gilles Clermont,

Guodong Pang, Andrew J. Schaefer

The efficient operation and management of ICUs is critical to providing high

quality of care while managing costs. We construct a new Transfer Score to

estimate readmission and death probabilities. We further show that an

anticipative transfer request policy combined with effective use of clinical markers

can significantly decrease transfer delays without increasing the capacity. We

present a Markov Decision Process (MDP) model for the transfer request problem

and solve it via approximations

4 - Optimal Breast Cancer Diagnostic Decisions under the

Consideration of Overdiagnosis

Sait Tunc, UW-Madison, 3233 Mechanical Engineering Building,

1513 University Avenue, Madison, WI, 53706, United States of

America,

stunc@wisc.edu

, Oguzhan Alagoz, Elizabeth Burnside

Breast cancer overdiagnosis issue becomes more severe every year, a recent study

approximates the annual cost of overdiagnosis to the United States as $243

million. We propose a large-scale MDP model to determine the optimal diagnostic

strategy under the consideration of overdiagnosis by incorporating cytologic grade

into the traditional breast cancer diagnostic decision problem.

MD19