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INFORMS Philadelphia – 2015

324

2 - s-plex and s-defective Numbers of a Graph

Vladimir Stozhkov, University of Florida, 2330 SW Williston Rd

Apt. 2826, Gainesville, FL, 32608, United States of America,

vstozhkov@ufl.edu

, Eduardo Pasiliao, Vladimir Boginski

The presentation is dedicated to two clique relaxation models: s-plex and s-

defective clique. Theoretical properties of the specified objects are investigated.

Analytical and computational bounds for the related optimization problems are

provided. The extensions of the Motzkin-Straus formulation for s-plex and s-

defective clique are derived. The outline of the general procedure for solving the

corresponding maximization problems is given.

3 - Minimum Edge Blocker Dominating Set Problem

Foad Mahdavi Pajouh, Assistant Professor, University of

Massachusetts Boston, 100 Morrissey Boulevard, Boston, MA,

02125, United States of America,

Foad.Mahdavi@umb.edu

,

Eduardo Pasiliao, Jose Walteros, Vladimir Boginski

Dominating sets are widely used in social and communication networks analysis.

Given a weighted graph and r>0, we consider the problem of removing a

minimum number of edges so that the weight of any dominating set in the

remaining graph is at least r. Complexity results, polyhedral results, a linear 0-1

programming formulation, and an exact algorithm for solving this problem will be

presented.

4 - Minimum Risk Network Covering Location Problem

Konstantin Pavlikov, University of Florida, 1350 N. Poquito Road,

Shalimar, FL, 32579, United States of America,

kpavlikov@ufl.edu,

Alexander Veremyev, Vladimir Boginski,

Eduardo Pasiliao

The network coverage problem under uncertainty is considered. In this problem,

components of the covering set and links connecting them to remaining nodes of

the network are subject to random failures. The emphasis is put on minimizing

the risk of losing coverage in presence of such failures. We formalize the model

and discuss its connection to the maximum expected covering location model.

TC19

19-Franklin 9, Marriott

Modeling and Optimization for Sustainable

Cloud Computing

Sponsor: Computing Society

Sponsored Session

Chair: Yunpeng Pan, South Dakota State University, Mathematics &

Statistics, Box 2220, Brookings, SD, 57007, United States of America,

yunpeng.pan@gmail.com

1 - Remote Sensing Data Mining for Extracting Data Center

Site Characteristics

Yunpeng Pan, South Dakota State University, Mathematics &

Statistics, Box 2220, Brookings, SD, 57007, United States of

America,

yunpeng.pan@gmail.com

, Adam Buskirk

Data centers are powerhouses of cloud. Companies rush to build out their cloud

infrastructure to meet fast growing demand. The environmental impact such as

carbon footprint falls into the category of public good, and therefore, calls for

appropriate public policy decisions, which in turn require good information. Our

current work intends to achieve this by mining the Landsat remote sensing data

to extract characteristics of data centers in operation and under construction at a

global scale.

2 - A Dynamic Workflow Framework for Server Provisioning

Wei Lin, Software Engineering Researcher, IBM,

8 Dongbeiwang Western Road, Haidian Dist, Beijing, China,

linweilw@cn.ibm.com,

Brian Peterson, Qinhua Wang,

Zongying Zhang, Christopher Young, Sai Zeng

Cloud service providers support server provisioning to large number of enterprise

customers, who have different functional, security and compliance requirements.

We propose a framework which composes dynamic workflow at runtime to cater

individualized provisioning procedures. In this framework, an onboarding module

configures process steps and dependencies for each customer, and a composition

module dynamically composes execution workflow based on dependency

validation and sequence calculating.

3 - Minimizing Costs in Distributed Cloud Resource Provisioning

Julio Goez, Postdoctoral Fellow, Ecole Polytechnique Montreal

and GERAD, 2900 Boulevard Edouard-Montpetit, Montréal, QC,

H3T 1J4, Canada,

jgoez1@gmail.com,

Juan F. Pérez

We consider the problem of minimizing the cost of provisioning resources at

different cloud locations, constrained to satisfying a required service-level

objective. We present a mixed integer non-linear optimization model for this

problem and show an equivalent mixed integer second order cone formulation.

We also show that a simple round-up provides an initial feasible solution for the

problem. We use this property to design a heuristic procedure to improve the

quality of the initial solution.

4 - Renewable Energy Prediction and Prescription in the

Internet-of-things (IoT)

Hans Schlenker, IBM, Hollerithstr 1, Munich, 81829, Germany,

hans.schlenker@de.ibm.com,

Yianni Gamvros

The IoT connects all sorts of devices — from sensors to embedded devices to

smartphones to laptops to servers. IBM connected 1600 solar fields to its

Renewable Energy IoT. Sensor data is collected, combined in the cloud, and

further analyzed by analytics services to generate accurate local energy

production forecast. These predictions are then used by (prescriptive)

mathematical optimization in a network distribution model to balance under-runs

and over-production in all connected areas.

TC20

20-Franklin 10, Marriott

Financial Engineering and Optimization

Contributed Session

Chair: Zhen Liu, Options Clearing Corp (OCC), One North Wacker

Drive, Suite 500, Chicago, IL, 60606, United States of America,

zhenliu@alum.northwestern.edu

1 - An Optimization Procedure for a Delta Neutral Constrained Theta

with Maximum Gamma Portfolio

Arik Sadeh, Dean, HIT Holon Institute of Technology,

52 Golomb St. 5810201, Holon, Israel,

sadeh@hit.ac.il

A large gamma portfolio is attractive for investors in order to get benefits from

large increase or decrease in the value of the underlying asset. In large gamma

portfolio the theta is negative. In this study, a delta neutral portfolio with

maximum gamma and constrained theta, was developed. An optimization model

was designed and solved for small time steps within a planning horizon. The

model was run for many simulation scenarios as well as real world data, followed

by statistical tests.

2 - Optimal Portfolio Liquidation and Dynamic

Mean-variance Criterion

Jiawen Gu, Postdoc, University of Copenhagen, Department of

Mathematical Science, University of Copenhagen, Copenhagen,

2100, Denmark,

kaman.jwgu@gmail.com

, Mogens Steffensen

We consider the portfolio liquidation problem under the dynamic mean-variance

criterion and derive time-consistent solutions in three important models. We get

explicit trading strategies in the basic model and when random pricing signals are

incorporated. When consider stochastic liquidity and volatility, we construct an

exact HJB equations under general assumptions for the parameters.

3 - Genetic Programming Optimization for a Sentiment Feedback

Strength Based Trading Strategy

Steve Yang, Assistant Professor, Stevens Institute of Technology,

1 Castle Point on Hudson, Hoboken, NJ, 07030,

United States of America,

steve.yang@stevens.edu

Based on the evidence that tweets are faster than news in revealing new market

information, whereas news is regarded broadly a more reliable source of

information than tweets, we develop a trading strategy based on the sentiment

feedback strength between the news and tweets using generic programming

optimization method. Result shows that this strategy generates over 14.7%

Sterling ratio compared with 10.4% and 13.6% from the technical indicator-

based and the buy-and-hold strategy respectively.

4 - Algorithmic Options Trading by Integer Programming

Vadim Timkovski, Keiser University, Port St. Lucie, FL,

United States of America,

vtimkovski@keiseruniversity.edu

Algorithmic options trading has only begun its evolution. This work presents an

integer programming system that simulates the activities of an experienced option

trader on the construction and adjustment of option portfolios. The system adopts

algorithms based on a recent discovery of an algebraic classification of option

trading strategies, without which this kind of automation would not be possible

and which has not been considered before as attainable.

5 - Linear Programming Approach to American Option Pricing

Zhen Liu, Options Clearing Corp (OCC), One North Wacker

Drive, Suite 500, Chicago, IL, 60606, United States of America,

zhenliu@alum.northwestern.edu

We solve the variational inequality (VI) from American option pricing problem by

linear programming (LP) approach. We approximate its solution by a combination

of Chebyshev basis functions. The objective is to minimize the absolute error of

the solution and the max operator in VI is converted into linear constraints of LP.

We discuss its convergence, and compare our results with Longstaff-Schwartz

least-square approach and numerical partial differential equation (PDE) approach.

TC19