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INFORMS Philadelphia – 2015

358

TD37

37-Room 414, Marriott

Therapy and Treatment

Contributed Session

Chair: Animesh Garg, PhD Student, UC Berkeley, 4141 Etcheverry Hall,

Berkeley, CA, 94720-1777, United States of America,

garg.animesh@gmail.com

1 - Assessment of a Novel Device for Elbow Rehabilitation in Humans

Aline Callegaro, Researcher, UFRGS, 99 Osvaldo Aranha Avenue,

5 Floor, Porto Alegre, RS, 90035190, Brazil,

nimacall@gmail.com

,

Carlos Fernando Jung, Clarissa Brusco,

Marcelo Gava Pompermayer, Márcia Elisa Echeveste,

Carla Schwengber ten Caten

This study aimed to assess a novel device for elbow rehabilitation in humans. The

functional prototype assessment was based on data collection in two stages:

application of local muscle vibration; and its association with Continuous Passive

Motion. Two way ANOVA was used to analyse the main factors. An average

increase of the muscle electrical activation resulted in first stage. The main factors

(frequency, sex, and treatment) had significant effect, as well as a few

interactions.

2 - Minimizing Metastatic Risk in Radiotherapy

Fractionation Schedules

Hamidreza Badri, Graduate Student, University of Minnesota,

ISyE Departemnt, 111 Church Street S.E., Minneapolis, MN,

55455, United States of America,

badri019@umn.edu,

Jagdish Ramakrishnan, Kevin Leder

The treatment of metastatic cancer remains an extremely challenging problem.

Here we consider the problem of developing fractionated irradiation schedules

that minimize production of metastatic cancer cells. We observe that the resulting

fractionation schedules are different than those that result from more standard

objectives such as minimization of final primary tumor volume. Delivering large

doses in small fractions is suggested even in cases when a/b value of the tumor is

large.

3 - Customized 3D Printed Implants with Internal Channels for

Intracavitary High Dose Rate Brachytherapy

Animesh Garg, PhD Student, UC Berkeley, 4141 Etcheverry Hall,

University of California, Berkeley, CA, 94720-1777,

United States of America,

garg.animesh@gmail.com,

Jean Pouliot,

J. Adam M. Cunha, I-Chow Hsu, Alper Atamturk, Ken Goldberg

High-Dose Rate Brachytherapy is an internal radiation therapy frequently used

for cancer treatment. Radioactive sources are briefly placed proximal to tumors.

Current methods for intracavitary HDR-BT use generic templates which limits

dose distribution to a small set of linear channels. We propose the use of

algorithmically customized 3D Printed implants with curved internal channels

that fit cavities without tissue puncture and aim to improve dose distribution and

treatment quality.

4 - Surgery Sequencing and Scheduling in Multiple ORs with

PACU Constraints

Miao Bai, Lehigh University, 200 W Packer Ave, Bethlehem, PA,

18015, United States of America,

mib411@lehigh.edu

,

Gregory Tonkay, Robert Storer

We study a multiple-OR surgery sequencing and scheduling problem with PACU

constraints. To minimize the cost incurred by waiting, idleness, OR blocking and

overtime, a two-stage solution scheme is proposed. In the first stage, a time-

indexed integer program is formulated and solved by Lagrangian relaxation and

dynamic programming to determine surgery sequences. Given surgery sequences

in all ORs, scheduled times of patients are found in the second stage by a sample-

gradient-based algorithm.

TD38

38-Room 415, Marriott

Probability

Contributed Session

Chair: Gene Hahn, Associate Professor, Salisbury University,

1101 Camden Ave., Salisbury, MD, 21801, United States of America,

edhahn@salisbury.edu

1 - Fluctuation Analysis and the Marked Poisson Process

Randy Robinson, Bemidji State University, Bemidji, MN,

United States of America,

rrobinson@bemidjistate.edu

This presentation studies the marked point process with position dependent

marking. The focus was on predicting the first passage time of the marked

random walk when exiting a given rectangular set and the value of the process

upon the exit. A new density function for the related processes has been

obtained: a product of a negative exponential and modified Bessel functions

2 - Moments of a Random Set

Kemal Gursoy, Rutgers University, 100 Rockafeller Road,

Department of MSIS, Piscataway, NJ, 08854,

United States of America,

kgursoy@rci.rutgers.edu

Let X be a random subset of the n-dimensional Euclidean space. Then the

moments of the measure of X could be constructed by the Lebesgue integral of

the probability measure of every point in X, over the n-dimensional Euclidean

space.

3 - A New Representation for the Stationary Distribution of

Markov Chains

Patrick Buckingham, Clemson University, Mathematical Sciences,

Clemson, SC, United States of America,

pbuckin@clemson.edu

,

Brian Fralix

We present a new representation for the stationary distribution of ergodic Markov

chains, as well as analogous representations for Laplace transforms of transition

functions associated with such chains. Applications to hysteretic queues and other

models will be discussed.

4 - Queueing Systems with Adaptive Service Rates

Raik Stolletz, University of Mannheim, Room SO 230,

Schloss Schneckenhof Ost, Mannheim, Germany,

stolletz@bwl.uni-mannheim.de,

Jannik Vogel

In many service systems, for example call centers, the service rate could be

considered as a time-dependent decision variable to improve and stabilize the

performance of a queueing system. We present an M(t)/M(t)/c queueing model

with adaptive service rates. The SBC-approach is used to approximate the time-

dependent behaviour of by stationary models. This results in non-linear

optimization problem. Numerical examples show the benefits of assuming the

service rate as a decision variable.

5 - Modeling with the Tilted Beta Distribution

Gene Hahn, Associate Professor, Salisbury University, 1101

Camden Ave., Salisbury, MD, 21801, United States of America,

edhahn@salisbury.edu

The beta distribution has an important limitation for the modeling of bounded

data. Its density is either zero or infinite at the endpoints except for special cases.

This makes modeling certain kinds of data difficult. The tilted beta distribution can

be used to easily model this data. We adopt a Bayesian perspective and examine

its usage in modeling real-world data.

TD39

39-Room 100, CC

Product Brand Differentiation and Pricing Decisions

Cluster: Operations/Marketing Interface

Invited Session

Chair: Ruixia Shi, California State University, Fullerton, 800 N. State

College Blvd., Fullerton, CA, 92834, United States of America,

sandy.shi@gmail.com

1 - New Product Pricing Strategy in the Social Media Era

Gou Qinglong, Associate Professor, University of Science &

Technology of China, No.96, JinZhai Road Baohe District, Hefei,

China,

tslg@ustc.edu.cn

, Kumar Subodha, Xiuli He, Juzhi Zhang

With the popularity of various social media platforms, the impacts of the word of

mouth effect and the reference price effect on a consumer’s purchasing behavior

have been significantly amplified in the current era. We incorporate these two

effects into a two period pricing model to investigate whether and in which

condition should a firm utilize a skimming or a penetration price strategy. Our

results show how these two effects influence a firm’s pricing strategy when he

launches a new product.

2 - Competition and Coordination in Online Retailers and

Express Companies

Yihong Hu, Assistant Professor, Tongji University,

yhhu@tongji.edu.cn

We consider an online market as Taobao with homogenous and heterogeneous

consumers sensitive to service quality. Retailers collect a separate product price

plus shipping fee from consumers. They treat shipping fee as a source of revenue

by asking a large discount of shipping fee from shippers. We use game-theoretic

framework to study the competition and coordination between retailers and

shippers under different scenarios. The study finds that retailers’ behavior

increases consumers’ benefit.

TD37