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INFORMS Nashville – 2016

505

2 - Correlation Based Adaptive Sampling Strategy For Online

Monitoring Of Correlated High Dimensional Data Streams

Mohammad Nabhan, Georgia Institute of Technology,

m.nabhan33@gmail.com,

Jianjun Shi

Effective process control of High dimensional data with embedded spatial

structure has been an arising challenge, due to the inability of classical techniques

to detect changes in such processes. This article proposes an adaptive sampling

technique that achieves better change detection power by identifying and

exploiting the hidden spatial structure. The adaptive nature of the proposed

method allows for effective monitoring with partial observations. Simulation

studies are performed to validate the efficacy of the proposed monitoring scheme.

This is followed by real data case studies to evaluate the performance under

practical scenarios.

3 - An Effective Online Data Monitoring And Saving Strategy For

Large-scale Climate Simulations

Xiaochen Xian, University of Wisconsin - Madison, Madison, WI,

xxian@wisc.edu,

Kaibo Liu

Large-scale climate simulation models have been developed and widely used to

generate historical data and study future climate. This long-duration simulation

process creates huge amount of data; however, how to effectively monitor and

record the climate changes still remains to be resolved. To address this issue, we

propose an effective online data monitoring and saving strategy over the temporal

and spatial domains with the consideration of practical storage and memory

capacity constraints. Specifically, our proposed method is able to intelligently

select and record the most informative extreme values in the raw data in the

context of better monitoring climate changes.

4 - A Wavelet-based Penalized Mixed-effects Model For Multichannel

Profile Detection Of In-line Raman Spectroscopy

Xiaowei Yue, Georgia Institute of Technology,

xwy@gatech.edu

,

Hao Yan, Jin Gyu Park, Richard Liang, Jianjun Shi

Modeling of high-dimension nonlinear profiles is an important and challenging

topic in statistical process control. Conventional mixed effect model has

limitations in solving the multichannel profile detection in nanomanufacturing. A

wavelet-based penalized mixed-effects model (WPMM) is proposed to exploits a

regularized high-dimensional regression with linear constraints to decompose

profiles into four parts: fixed effect, normal random effect, defective random

effect, and noise. An accelerated proximal gradient algorithm is developed to

efficiently estimate parameters. Case study shows that the WPMM can realize a

better detection power and shorter computation time.

WE69

Old Hickory- Omni

Dynamic Programming /Control

Contributed Session

Chair: Jefferson Huang, Postdoctoral Associate, Cornell University,

Ithaca, NY, United States,

jh2543@cornell.edu

1 - Segmentation Of Anatomical Structures Using Dynamic

Identification And Classification Of Edges (dice) Model In

Medical Images

Maduka M. Balasooriya, Teaching Assistant, Southern Illinois

University, Edwardsville, Edwardsville, IL, 62026, United States,

mbalaso@siue.edu,

Sinan Onal, Xin W Chen

Segmentation of anatomical structures using medical images such as MRI, CT

scan, and digital fundus image is still ongoing research subject. We developed the

dynamic identification and classification of edges (DICE) model that aims to

automatically identify edges of a contour of an anatomical structure without any

intervention from domain experts. The DICE model includes three sequential but

intertwined steps: (a) identifying potential edge points of a contour using moving

range control charts; (b) extrapolating additional edge points of a contour through

noise reduction; and (c) classifying points into different edges using neighborhood

gradient search.

2 - Military Applications Of Approximate Dynamic Programming:

Optimizing Helicopter Lift Operations

James Grymes, Instructor, United States Military Academy,

646 Swift Rd, West Point, NY, 10996, United States,

james.grymes@usma.edu

Military commanders rely on helicopter lift assets to serve as force multipliers by

moving military personnel and equipment around the battlefield. Inefficiency is a

byproduct of uncertainty inherent in military operations which can lead to

mission delays and possible failures. This research is designed to explore

approximate dynamic programming as a tool for assisting air movement planners.

We model Army helicopter lift operations as a Markov Decision Process and learn

the value of decisions through machine learning. The algorithm returns an

approximating value function for scheduling air lift routes in order to enhance

combat power.

3 - Value Function Discovery In Markov Decision Processes

Sandjai Bhulai, Vrije Universiteit Amsterdam, Faculty of Sciences,

De Boelelaan 1081a, Amsterdam, 1081 HV, Netherlands,

s.bhulai@vu.nl

, Martijn Onderwater, Robert van der Mei

We introduce a novel method for discovery of value functions for Markov

Decision Processes (MDPs). This method is based on ideas from the evolutionary

algorithm field. Its key feature is that it discovers descriptions of value functions

that are algebraic in nature. This feature is unique, because the descriptions

include the model parameters of the MDP. The algebraic expression can be used

in several scenarios, e.g., conversion to a policy, control of systems with time-

varying parameters. We illustrate its application on an example MDP.

4 - Making College Admission Offers: A Dynamic

Programming Approach

Subhamoy Ganguly, Indian Institute of Management Udaipur,

IIM Udaipur, MLSU Campus, Udaipur, 313001, India,

subhamoy.ganguly@iimu.ac.in,

Michele Samorani, Ranojoy Basu,

Viswanathan Nagarajan

College admissions problem refers to the problem where each college seeks to

admit the best possible class from a pool of applicants and most applicants apply

to multiple colleges, hoping to enroll in one of their most preferred colleges. Most

of the extant literature models this problem in the context of a two-sided

matching market. However, admissions offices often cannot use these approaches

due to practical limitations. We develop a dynamic programming model that

could help colleges make optimal decisions of offering admission to secure the

best possible class while filling all seats.

5 - Reductions Of Undiscounted Markov Decision Processes And

Stochastic Games To Discounted Ones

Jefferson Huang, Postdoctoral Associate, Cornell University, Ithaca,

NY, United States,

jh2543@cornell.edu,

Eugene A Feinberg

We provide conditions under which certain total and average cost Markov

decision processes (MDPs), with possibly uncountable state and action spaces, can

be reduced to discounted ones. These reductions are used to obtain complexity

estimates for computing an optimal policy for finite MDPs and for computing a

nearly optimal policy for infinite MDPs. We also provide analogous reductions for

zero-sum stochastic games with possibly uncountable state and action spaces, and

show how they can be used to obtain results on the existence of the value and

optimal strategies, as well as results on robust MDPs.

WE71

Electric- Omni

Game Theory V

Contributed Session

Chair: Edward Cook, Senior Vice President, Capital One, 4 Bisley Court,

Henrico, VA, 23238, United States,

Ed.cook2000@gmail.com

1 - Bayesian Opponent Exploitation In Imperfect-information Games

Sam Ganzfried, Ganzfried Research, 55 West 26th Street #36E,

New York, NY, 10010, United States,

sam.ganzfried@gmail.com

For all game classes one can potentially do better than following a static Nash

equilibrium strategy by learning to exploit perceived weaknesses of opponents.

An exact efficient algorithm is known for best-responding to the opponent’s

posterior distribution assuming a Dirichlet prior with multinomial sampling in

normal-form games; however, for imperfect-information games the best known

algorithm is a sampling algorithm approximating an infinite integral without

theoretical guarantees. The main result is the first exact algorithm for

accomplishing this in certain imperfect-information games. We also present an

algorithm for the natural setting where the prior is uniform over a polyhedron.

2 - Strategic Decentralization: Implications For Equity And Equality

Omkar D Palsule-Desai, Faculty, Indian Institute of Management

Indore, Rau Pithampur Road, Wing C, Ground Floor, Indore,

453331, India,

omkardpd@iimidr.ac.in

We develop a noncooperative game theoretic model to examine network

performance and stability related implications of allocation mechanisms that

endogenously balance equity vis-à-vis equality, and hence, the degree of collusion

among the network firms in a decentralized setting. We show that inefficiencies

and instability of decentralization can be eliminated by incorporating an

additional degree of freedom in the network formation game. Our model and the

structural results are applicable to networks such as producers’ cooperatives,

industrial clusters, joint production and research facilities, etc., wherein the

conflicts of equity-equality and degree of collusion are predominant.

WE71