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INFORMS Philadelphia – 2015

73

SB23

23-Franklin 13, Marriott

Reflected Diffusions and Stochastic Networks

Sponsor: Applied Probability

Sponsored Session

Chair: Kavita Ramanan, Professor, Brown University, 182, George

Street, Box F, Providence, RI, 02912, United States of America,

kavita_ramanan@brown.edu

Co-Chair: Mohammadreza Aghhajani, Brown University, Providence,

RI, United States of America,

Mohammadreza_Aghajani@Brown.edu

1 - Reflected Brownian Motions in Stable Models for Large

Equity Markets

Ioannis Karatzas, Columbia University, Department of

Mathematics, New York, NY, 10027, United States of America,

ik@math.columbia.edu

We construct systems of Brownian particles interacting through their ranks. These

interactions give rise to invariant measures which are in broad agreement with

stability properties observed in large equity markets over long time-periods. The

models have connections with the analysis of Queueing Networks in heavy

traffic. Their hydrodynamic-limit behavior is governed by generalized porous

medium equations with convection. We survey briefly recent progress on some of

these fronts.

2 - Pathwise Differentiability of Semimartingale Reflected Brownian

Motions in Convex Polyhedrons

David Lipshutz, Postdoctoral Research Associate, Brown

University, 182 George Street Box F, Providence, RI, 02912,

United States of America,

David_Lipshutz@brown.edu

,

Kavita Ramanan

We consider the pathwise differentiability of semimartingale reflected Brownian

motions (SRBMs) in convex polyhedrons with respect to input parameters that

determine the initial condition and drift. The derivatives are characterized as

solutions to time-dependent Skorokhod type problems associated with the

SRBMs. As applications, we characterize derivatives of stochastic flows for SRBMs

and compute the sensitivity of SRBMs to small perturbations of the drift.

3 - Existence and Nonexistence Results for Diffusion Limits of

Serve-the-Longest-Queue

Rami Atar, Technion, Department of Electrical Engineering,

Technion,, Haifa, Israel,

atar@ee.technion.ac.il,

Subhamay Saha

When serve-the-longest-queue is considered for a system with finite buffers that

are equal in size, diffusion limits of queue length exist in conventional heavy

traffic, while they do not always exist in the Halfin-Whitt regime. This

phenomenon will be described, along with implications on a game theoretic set

up of the network, in which customers are strategic.

SB24

24-Room 401, Marriott

Data Mining and Network Inference for Social and

Health Application I

Sponsor: Artificial Intelligence

Sponsored Session

Chair: Sung Won Han, New York University, 650 First Avenue,

New York, NY, United States of America,

sungwonhan2@gmail.com

Co-Chair: Chen Kan, University of South Florida, 4202 E. Fowler Ave.

ENB118, Tampa, FL, United States of America,

chenkan@mail.usf.edu

1 - The Evolution of User Roles in Online Health Communities

Xi Wang, The University of Iowa, S343 PBB, The University of

Iowa, Iowa City, IA, 52242, United States of America,

xi-wang-1@uiowa.edu,

Zhiya Zuo, Kang Zhao

Online health communities (OHCs) have become a major source of social support

for people with health problems. By analyzing how users’ roles change over time,

we constructed transition graphs to illustrate evolution of users’ roles in an OHC.

It was revealed that the types social support received by a user may facilitate or

delay her role transitioning. Our research has implications to for OHC operators

to track users’ behaviors in order to manage an OHC.

2 - Extracting Biomedical Relationships from

Unstructured Documents

Adel Javanmard, Assistant Professor, Marshall School of Business,

University of Southern California, Los Angeles, CA,

United States of America,

ajavanma@marshall.usc.edu

The published biomedical research is growing at an unprecedented rate. On the

other hand, the information we need to extract for many research objectives is

becoming increasingly complex. This trend has driven the need for automated

curation of scientific literature. We consider the problem of extracting drug-gene

relationships from unstructured documents and propose a novel algorithm to this

end. Our algorithm is intimately related to new advances in clustering sparse

graphs.

3 - Network Models for Monitoring High-Dimensional Image Profiles

Chen Kan, University of South Florida, 4202 E. Fowler Ave.

ENB118, Tampa, FL, United States of America,

chenkan@mail.usf.edu,

Hui Yang

Advanced sensing brings the proliferation of image profiles, which pose significant

challenges for process monitoring and control. However, traditional SPC is limited

in its ability to readily address complex structures of high-dimensional profiles.

This paper presents a novel dynamic network methodology for monitoring and

control of high-dimensional imaging streams. Experimental results show that the

proposed approach provides an effective online control chart for monitoring

image profiles.

SB25

25-Room 402, Marriott

Mobile and Social Data Analytics

Sponsor: Information Systems

Sponsored Session

Chair: Rajiv Garg, Assistant Professor, McCombs School of Business,

2110 Speedway, UT-Austin, Austin, TX, 78705,

United States of America,

rajiv.garg@mccombs.utexas.edu

1 - Mobile Big Data Analytics

Xueming Luo, Temple University, 1801 Liacouras Walk,

Philadelphia, PA, United States of America,

Xueming.Luo@temple.edu

This presentation discusses how smart devices (smartphones, machine-to-

machine connected solutions, wearables, Internet-of-things technologies) and big

data affect advertising, promotions, marketing ROI, and omni-channel targeting

effectiveness. Over 3.6 billion people worldwide are deeply engaged with

smartphone devices. More than half of adult Americans rely on smartphones to

go about daily life.

2 - An Expository Study of Human Geographic Affinity Measurement

Based Mobility Network

Rong Duan, AT&T Labs, Research, 1 AT&T Way, Bedminster, NJ,

United States of America,

rongduan@research.att.com

Geographic data play critical roles in different domains.Based on the nearly

complete coverage of mobile cell towers and the frequent activities of mobile

devices, we propose a Human Geographic Affinity (HGA) metric. HGA measures

the degree of recapture for a crowd in a specific geographic area during a time

period. The metric quantifies the stability of a crowd in a geographic area, and

categories areas by their dynamic of human mobility. This study is completed in-

line with privacy policy.

SB26

26-Room 403, Marriott

INFORMS Undergraduate Operations Research

Prize I

Cluster: INFORMS Undergraduate Operations Research Prize

Invited Session

Chair: Aurelie Thiele, Lehigh University, 200 W Packer Ave,

Bethlehem, PA, 18015, United States of America,

aut204@lehigh.edu

1 - A Composite Risk Measure Framework for Decision Making

under Uncertainty

Pengyu Qian, Columbia University, Columbia Business School c/o

PhD Office, 3022 Broadway,311 Uris Hall, New York, NY, 10027,

United States of America,

qianpengyu@pku.edu.cn

, Zizhuo Wang,

Zaiwen Wen

In this talk, we present a unified framework for decision making under

uncertainty. Our framework is based on the composite of two risk measures

accounting for parametric (given distribution) and distributional uncertainty

respectively. The framework generalizes many existing models. We also propose

new models within this framework whose solutions have probabilistic guarantees

and are less conservative comparing to traditional models. Numerical experiments

demonstrate the strength of our models.

SB26