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INFORMS Nashville – 2016

423

4 - Biased Randomization: Heuristics In Transportation, Logistics,

And Production

Alex Grasas, EADA Business School, C/ Arago 204, Barcelona,

08011, Spain,

agrasas@eada.edu

, Angel A Juan, Javier Faulin,

Jesica De Armas, Helena Ramalhinho

This paper reviews heuristics that contain biased-randomized procedures (BRPs).

A BRP is a procedure that uses a biased probability distribution to select the next

constructive movement at each algorithm’s iteration. BRPs can be categorized into

two main groups according to how choice probabilities are computed: (i) BRPs

using an empirical bias function; and (ii) BRPs using a skewed probability

distribution. This paper analyzes the second group and reviews the use of these

BRPs in some applications in transportation, logistics, and production problems.

5 - A Parallel Dynamic Programming Solution For The Dynamic

Facility Layout Problem

Clara Novoa, Associate Professor, Texas State University,

601 University Dr, San Marcos, TX, 78666, United States,

cn17@txstate.edu

, Apan Qasem, Chandra Kolla

We develop a parallel approximate dynamic programming solution to the

Dynamic Facility Layout Problem (DFLP) using OpenMP. We experiment with

data sets from Dr. Balakrishnan’s repository. Including a relatively small set of

feasible solutions, the accuracy and speed of our method is very satisfactory if

contrasted to simulated annealing, hybrid genetic algorithm, and ant systems. In

the DFLP, the flow of materials between departments is known but it varies over

time due to changes in demand and introduction of new products. The trade-off

costs are material handling and relocation costs.

WB79

Legends G- Omni

Opt, Convex

Contributed Session

Chair: Churlzu Lim, Associate Professor, University of North Carolina at

Charlotte, Systems Engineering & Engineering Management, 9201

University City Boulevard, Charlotte, NC, 28223, United States,

clim2@uncc.edu

1 - A Fast Socp-based Method For Optimal Selection Problem In

Tree Breeding

Makoto Yamashita, Associate Professor, Tokyo Institute of

Technology, W8-29 2-12-1 Oh-Okayama, Meguro, Tokyo,

152-8552, Japan,

makoto.yamashita@c.titech.ac.jp

, Tim J Mullin,

Sena Safarina

One of new frontiers for optimization methods is to solve practical problems

arising from breeding. A purpose of an optimal selection problem in tree breeding

is to determine the contributions of candidate genotypes that attains the highest

profit subject to a constraint on genetic diversity. We propose a fast numerical

method based on second-order cone programming by exploiting the structural

sparsity in the problem. The proposed method reduced the computation time

from 39,000 seconds of an existing method to just 2 seconds.

2 - Shape Constrained Data Smoothing With Penalized Splines

Yu Xia, Professor, Lakehead University, Business Administration,

955 Oliver Rd, Thunder Bay, ON, P7B 5E1, Canada,

yxia@lakeheadu.ca

, Farid Alizadeh

We consider fitting noisy data to a smooth function by penalized B-splines. The

underling function is assumed to have some shape properties, such as non-

negative, monotonic, convex. We solve the data smoothing problem by convex

optimization methods.

3 - On The Convexity Of Optimal Decentralized Control Problem And

Sparsity Path

Salar Fattahi, PhD Student, University of California, Berkeley,

4141 Etcheverry Hall, Berkeley, CA 94720-1777, Berkeley, CA,

94702, United States,

fattahi@berkeley.edu

, Javad Lavaei

This talk is about an important special case of the optimal stochastic decentralized

control problem, where the objective is to design a static structured controller for

a stable stochastic system. We show that if either the noise covariance or the

input weighting matrix is not too small, the problem is locally convex. In the case

where these conditions are not satisfied, we modify the problem by a penalization

term to convexify it, leading to a near-global solution. We also study the problem

of designing a sparse controller using a regularization technique. Under some

genericity assumptions, we prove that this method is able to design a controller

with any arbitrary sparsity level.

4 - Snug Circumscribing Simplexes For Convex Hulls

Ghasemali Salmani Jajaei, PhD Student, Virginia Commonwealth

University, 1015 Floyd Avenue, Harris Hall, Richmond, VA,

23284-3083, United States,

salmanijajaeg@vcu.edu

We propose procedures for enclosing convex hulls of finite m-dimensional point

sets with simplexes. These are snug in since they intersect the hull in some way.

We report on experimental results.

5 - Volume Allocation Optimization For Space Mission Tasks

Churlzu Lim, Associate Professor, University of North Carolina at

Charlotte, Systems Engineering & Engineering Management, 9201

University City Boulevard, Charlotte, NC, 28223, United States,

clim2@uncc.edu,

Simon M Hsiang, Sherry Thaxton, Maijinn Chen,

Jerry G Myers

Volume in space missions is costly and often must be traded with competing

resources and mission needs, such as launch mass, systems/hardware

requirements, and consumables. Spacecraft and habitat designers must allocate

sufficient volume for different tasks without incurring excessive cost penalties or

failure modes. How a volume can be optimized should be based on a balancing of

risk and benefits. In this talk, we present a mathematical optimization model that

maximizes the total value of tasks of astronauts given a limited volume in the

spacecraft. An illustrative example will be demonstrated.

WB80

Broadway E- Omni

Health Care, Public II

Contributed Session

Chair: Samantha Meyer, Assistant Professor, Ross School of Business,

701 Tappan Ave., Ann Arbor, MI, 48109, United States,

srmeyer@umich.edu

1 - How Much Sleep Do You Need?: Evidence From Public Health

Philip F. Musa, Associate Professor and Programs Director,

University of Alabama-Birmingham, PO Box 55544, Birmingham,

AL, 35255, United States,

musa@uab.edu

Could the amount of sleep people get be associated with hypertension? This

presentation outlines an epidemiological cross-sectional study to shed some light

on this important Public Health chronic matter. We present a background from

the literature using a population based sampling. Our proposed study will employ

the previously validated Pittsburgh Sleep Quality Index and Berlin questionnaire.

The inclusion/exclusion criteria and the strengths and limitations are presented.

2 - A Little Empathy Goes A Long Way In Disease Dynamics On A

Network Game

Ceyhun Eksin, Georgia Tech, 85 5th St. NW, Atlanta, GA, 30332,

United States,

ceyhuneksin@gatech.edu,

Jeff S Shamma,

Joshua Weitz

Individuals change their behavior during an epidemic in response to whether

they and those they interact with are healthy or sick. Healthy individuals may

utilize protective measures while sick individuals may adopt preemptive measures

to stop disease spread to their contacts. Yet, in practice both protective and

preemptive behavior come with costs. We propose a stochastic network disease

game that captures the self-interests of individuals during disease spread on a

network. We show that there is a critical level of concern, i.e., empathy, by the

sick individuals that eradicates the disease fast while the protective measures

cannot eradicate the disease without the preemptive measures.

3 - Spatial Evolutionary Game For Changes Of Human Behaviors

In Epidemic

Songnian Zhao, Kansas State University, 2037 Durland Hall,

Manhattan, KS, 66502, United States,

songnian@ksu.edu,

Yan Kuang, John C Wu, David Ben-Arieh

Spatial evolutionary game, used to study multiple players’ behaviors in a spatial

structure, was incorporated into the epidemic models for sake of evaluating

spontaneous changes of human behaviors when individuals acquire information

about the spread of infectious disease and make a tradeoff between costs and

benefits. Through the comparison between two different mechanisms, a spatial

game model in epidemic is validated to generate the consistent results with the

traditional dynamic systems in this paper.

WB80