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INFORMS Philadelphia – 2015

486

WE22

22-Franklin 12, Marriott

Stochastic Processes II

Contributed Session

Chair: Vincent Slaugh, Visiting Assistant Professor, Smeal College of

Business, Penn State University, 465 Business Bldg, University Park,

PA, 16802, United States of America,

vws102@psu.edu

1 - Solving Strategic Refinery Planning and Financial Risk Problems

via Pyomo

Ariel Uribe, Ecopetrol S.A., Km 7 Via Piedecuesta, Piedecuesta,

Colombia,

ariel.uribe@ecopetrol.com.co

, Wilson Briceño

In this work we reformulate the problem proposed by Bagajewicz & Lakkhanawat

(2008), in which is solved a refinery planning problem taking into account

financial risk management issues and the pricing effect on the planning decisions.

As a first step, we compare from a computational point of view the performance

of the deterministic and stochastic solutions between gams and pyomo. Finally,

we explore pyomo in a parallel environment.

2 - Valuation and Operation of Three Types of Power Plants using

Continuous Time Stochastic Control

Rune Ramsdal Ernstsen, University of Copenhagen, Finsensvej

42,

4.tv

, Frederiksberg, 2000, Denmark,

rre@math.ku.dk

With the increasing focus on renewable energy in the deregulated energy

markets, it is to be expected that the energy mix will change and along with it the

dynamics of the energy prices. This will change the values of the existing and new

power plants, and thus change the investment incentives. My research is based on

valuation and operation of three different types of power plants in a new

electricity market: a renewable power plant, a conventional power plant and a

storage power plant.

3 - Reservation Admission Control in Rental Systems

Vincent Slaugh, Visiting Assistant Professor, Smeal College of

Business, Penn State University, 465 Business Bldg, University

Park, PA, 16802, United States of America,

vws102@psu.edu,

Alan Scheller-wolf, Sridhar Tayur

Using a multiserver queueing model, we study the problem of whether a rental

firm should accept reservation requests during a rental season. We discuss

performance bounds and the structure of the optimal policy for admitting

reservations, and propose an easy-to-implement newsvendor-style heuristic for

accepting reservations. We show that the heuristic performs well in test cases, and

also observe that the system’s profit is decreasing in the reservation notice time.

WE23

23-Franklin 13, Marriott

New Directions in Applied Probability

Sponsor: Applied Probability

Sponsored Session

Chair: David Goldberg, Assistant Professor, Georgia Institute of

Technology, 755 Ferst Drive, NW, Atlanta, GA, 30332,

United States of America,

dgoldberg9@isye.gatech.edu

1 - Data-driven Dynamic Pricing and Inventory Control with Limited

Price Changes

Boxiao (beryl) Chen, University of Michigan-Ann Arbor, 1205

Beal Avenue, Ann Arbor, MI, 48109, United States of America,

boxchen@umich.edu

, Xiuli Chao

We consider periodic review joint pricing and inventory control problem.

Demand is random and price sensitive, and the firm has limited prior knowledge

about its distribution. The firm learns the demand to maximize profit, but is faced

with the business constraint that prevents it from conducting extensive price

experimentations. We develop data-driven algorithms for pricing and inventory

decisions and prove they converge to the optimal decision at the fastest possible

speed.

2 - Rare Events in a Single Server Queue

Harsha Honnappa, Perdue University, West Lafayette, IN,

United States of America,

honnappa@purdue.edu,

Peter Glynn

We characterize the rare event paths of the workload process in a FIFO single

server queue that offers general service. The arrival times of a large, but finite,

population of jobs are modeled as ordered statistics of i.i.d. random variables. We

prove a large deviations principle (LDP) that shows that unlike a random walk,

the most likely paths to hit a high level are not linear. We also extend this analysis

to periodic traffic patterns, and develop an LDP for this setting as well.

3 - Efficient Monte Carlo Simulation using A Representation for

Viscosity Solutions of Hamilton Jacobi Equations

Pierre Nyquist, Brown University, 182 George Street, Providence,

RI, 02912, United States of America,

pierre_nyquist@brown.edu

,

Henrik Hult, Boualem Djehiche

The design of efficient Monte Carlo methods is intimately connected to

(sub)solutions of certain Hamilton-Jacobi (HJ) equations. However, such

subsolutions can be hard to construct for a given problem. We discuss a min-max

representation for viscosity solutions of HJ equations and its applications to rare-

event simulation. To illustrate the result we focus on a specific setting: The use of

importance sampling to estimate rare-event probabilities in a Markovian intensity

model for credit risk.

WE24

24-Room 401, Marriott

Artificial Intelligence II

Contributed Session

Chair: Alexandra Diamond, Hunter College CUNY, 695 Park Avenue,

New York, NY, 10021, United States of America,

alexandradiamond@yahoo.com

1 - Role-assignment for Game-theoretic Cooperation

Catherine Moon, Duke University, 213 Social Sciences, Box

90097, Durham, NC, 27705, United States of America,

csm17@duke.edu,

Vincent Conitzer

In multiagent systems, a team of agents may work on multiple projects together.

Here, we focus on the game-theoretic aspect that needs to be considered: when

the agents are self-interested, careful role assignment is necessary to make

cooperation the repeated game’s equilibrium. We formalize this problem and find

an easy-to-check necessary and sufficient condition for a given role assignment to

induce cooperation. We also show that finding whether such assignment exists is

in general NP-hard.

2 - Discretization of Continuous Action Spaces in

Extensive-form Games

Christian Kroer, PhD Student, Carnegie Mellon University, 5000

Forbes Ave, Pittsburgh, PA, 15213, United States of America,

ckroer@cs.cmu.edu,

Tuomas Sandholm

Most equilibrium-finding algorithms for sequential games require discrete, finite

games, whereas applications often have continuity. Leveraging recent results on

abstraction solution quality, we develop the first framework for providing bounds

on solution quality for discretization of continuous action spaces in extensive-

form games. Based on this framework, we develop algorithms for finding

bound-minimizing abstractions under various structural assumptions.

3 - A New Fuzzy Kernel-free Support Vector Machine Model

Jian Luo, Assistant Professor, Dongbei University of Finance and

Economics, 217 Jianshan Street, Shahekou District, Dalian,

116025, China,

luojian546@hotmail.com

, Zhibin Deng,

Xingkai Yang, Huixiang Su, Chang Liu

A new kernel-free fuzzy support vector machine model is proposed using the

concept of Fisher discriminant analysis and a new fuzzy membership function. A

decomposition algorithm is designed to solve this proposed model. Computational

results indicate that the proposed model outperforms well-known fuzzy support

vector machine models with kernels.

4 - Stochastic Approximation for Optimal Self-driven Sensor-guided

Rescue Robots under Uncertainty

Alexandra Diamond, Hunter College CUNY, 695 Park Avenue,

New York, NY, 10021, United States of America,

alexandradiamond@yahoo.com

, Felisa Vazquez-abad

A robot must locate and retrieve an artifact that has a limited battery for sending

signals. We compare two scenarios. (1) All calculations are done in the cloud

using signals from the artifact to estimate position. The robot is then sent to the

rescue. (2) The robot has computational and sensing capabilities and it performs

the optimization in real time as it moves towards the object. The “risk” is

associated with the probability of missing the target by a certain amount. We

discuss convergence

WE22