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INFORMS Philadelphia – 2015

491

4 - Modeling Individual Consumer Food Contamination Progession

Jessye Bemley, North Carolina A&T State Uinversity,

1601 East Market St., McNair Hall 419, Greensboro, NC, 27409,

United States of America,

jlbemley@gmail.com

, Lauren Davis

Food-borne illness affects nearly 48 million individuals a year resulting in

hospitalizations and deaths. United States public health departments reported that

1,527 food outbreaks occurred between 2009 and 2010 of which 7.8% resulted in

deaths. The purpose of this research is to develop models that will help to

quantify consumer morbidity, consider the impact of various characteristics on

the consumer, spread of contamination and consider interventions.

WE38

38-Room 415, Marriott

Optimization Combinatorial IV

Contributed Session

Chair: Mohsen Momeni Tabar, K.N.Toosi University of Technology,

Tehran, Iran,

mohsenmt40@gmail.com

1 - Semidefinite and Copositive Relaxation of Polynomial

Optimization by using Symmetric Tensors

Xiaolong Kuang, Lehigh University, 14 Duh Drive, Apt. 324,

Bethlehem, PA, 18015, United States of America,

kuangxiaolong0731@gmail.com

We study relaxation of general polynomial optimization problem over the cone of

positive semidefinite and completely positive tensors, which are natural

extensions of the cones of positive semidefinite and completely positive matrices.

Then we characterize the relationship between Lagrangian bounds, semidefinite

bounds and copositive bounds of polynomial optimization.

2 - A Three-Operator Splitting Scheme and its

Optimization Applications

Damek Davis, Graduate Student, University of California, Los

Angeles, Department of Mathematics, Los Angeles, CA,

90095-1555, United States of America,

damek@math.ucla.edu

,

Wotao Yin

In this talk, we introduce a new splitting scheme that extends the Douglas-

Rachford and forward-backward splitting schemes to monotone inclusions with

three operators, one of which is cocoercive. We discuss why this algorithm works,

derive several special cases, including a simple three-block ADMM algorithm, and

introduce an acceleration that achieves the optimal rate of convergence for

strongly monotone inclusions. Finally, we discuss several applications and future

research directions.

3 - Moment Problem and its Applications to Risk Assessment

Ruilin Tian, Associate Professor Of Finance, North Dakota State

University, 244 Richard H. Barry Hall, NDSU Dept 2410, Fargo,

ND, 58108-6050, United States of America,

ruilin.tian@gmail.com,

Samuel Cox, Luis Zuluaga

We discuss how to solve univariate moment problems with different function

forms for risk assessment through three methods; namely, the semidefinite

programming method, the moment-matching method, and a linear

approximation method. We show that for practical purposes, these methods

provide numerically equivalent results. Also, we propose a simpler formulation

for the unimodal bounds on E[I_(x<=K]] compared to existing formulations of

the moment problem in the literature.

4 - Calculating the Number of Optimal Server in Queue M/M/s/K

Mohsen Momeni Tabar, K.N.Toosi University of Technology,

Tehran, Iran,

mohsenmt40@gmail.com,

Zhila Dehdari Ebrahimi,

Mahyar Ejlali

Nowadays, economical systems play an important role in reducing costs. In this

paper, mathematical modeling and calculation of optimal server queue M / M / s /

K have been investigated and numerical analysis method was used. The goal of

this paper, base on two criteria to minimize costs and maximize the level of

service is built. Finally, analyzed this paper done by maple 12 software.

WE39

39-Room 100, CC

Supply Disruption, Price Competition, and Quality

Cluster: Operations/Marketing Interface

Invited Session

Chair: Chao Liang, Assistant Professor, Cheung Kong Graduate School

of Business, Main Campus, Oriental Plaza, E2, 1 East Chang An Ave,

Beijing, China,

cliang@ckgsb.edu.cn

1 - Impact of Variety Seeking Behavior on Service Competition under

Price Commitment

Ying Wei, Associate Professor, Jinan University, Rm 722, Huiquan

Building, Huangpu Avenue West 601#, Tianhe Dist., Guangzhou,

510632, China,

yingwei@jnu.edu.cn,

Liyang Xiong, Yulan Wang

Variety seeking is modeled as a decrease in the willingness to pay for the product

purchased on the previous purchase occasion. With a two-stage Hotelling-type

model, we show that under symmetric competition, the presence of variety

seeking induces centralization effect, meaning firms tend to make the same price

and service levels; while under asymmetric competiton, the presence of variety

seeking induces polarization effect meaning firms’ price and service decisions tend

to be different.

2 - Uniform Pricing in Service Systems as an Efficient Way of

Improving Quality

Xin Geng, Sauder School of Business, University of British

Columbia, Vancouver, BC,

CanadaXin.Geng@sauder.ubc.ca

We look at a firm with heterogeneous servers who provide quality-differentiated

services, where quality can be improved based on servers’ experience. The

commonly used pricing scheme that posts a price on each server suffers from a

pitfall that the low quality servers usually improve slowly, impeding the future

revenue increase. To resolve this issue, we propose another pricing scheme, which

is essentially probabilistic selling, and analytically establish its superiority in long-

run revenue.

3 - Does Traceability Help Product Quality?

Chao Liang, Assistant Professor, Cheung Kong Graduate School of

Business, Main Campus, Oriental Plaza, E2, 1 East Chang An Ave,

Beijing, China,

cliang@ckgsb.edu.cn

In a supply chain with one manufacturer and one supplier, we study how

traceability impacts the manufacturer and the supplier’s incentive to improve

product quality. Interestingly, we find that traceability may reduce the final

product’s quality.

WE40

40- Room 101, CC

Operations Management/Marketing Interface IV

Contributed Session

Chair: Sung Wook Yun, Yonsei University, Sinchon-dong,

Seodaemun-gu, Seoul, Korea, Republic of,

giantguard@naver.com

1 - Product Differentiation under Uncertain Market Conditions

Xingxing Chen, Washington University in St. Louis, Campus Box

1133, St. Louis, MO, 63130, United States of America,

xingxing.chen@wustl.edu

We study a competition model between two firms facing uncertain market

conditions where they engage in a product design competition with these

uncertainties and then engage in a price competition after uncertainties are

resolved. We try to characterize price and product design equilibrium and see

how uncertainties in the market affect the equilibrium outcome.

2 - The Antecedents and Consequences of Automotive Recall

Decision Making

Chelsey Hill-Esler, Drexel University, 730 Gerri LeBow Hall, 3220

Market Street, Philadelphia, PA, 19104, United States of America,

chh35@drexel.edu,

Chaojiang Wu

In the automotive industry, when a safety defect or noncompliance issue is

discovered, automakers must make many important decisions. This research

considers two decisions: action and initiation. Using primary and secondary recall

data between 2004-2014, the authors utilize a two-stage modeling approach

investigating the factors influencing recalls and the effect of recall decisions on

market share.

WE40