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INFORMS Nashville – 2016

394

2 - The Expanding Search Ratio Of A Graph

Thomas Lidbetter, London School of Economics, Houghton Street,

London, WC2A 2AE, United Kingdom,

t.r.lidbetter@lse.ac.uk

Thomas Lidbetter, Rutgers Business School, Newark, NJ, 07102,

United States,

t.r.lidbetter@lse.ac.uk

, Spyros Angelopoulos,

Christoph Dürr

We study the problem of searching for a hidden target in an edge-weighted graph.

We use a recently introduced search paradigm called expanding search, where a

sequence of edges is chosen starting from a given root vertex such that each edge

is adjacent to a previously chosen edge. We define the search ratio of an

expanding search as the max. over all vertices of the ratio of the time taken to

reach the vertex and the shortest-path cost to it from the root. We seek the

randomized expanding search with minimum expected search ratio, which is

equivalent to solving a zero-sum game between a Searcher and a Hider. We solve

the problem for certain classes of graphs, and obtain constant-factor

approximations for others.

3 - Modeling Short Range Missile Defense And Iron Dome

Michael J Armstrong, Associate Professor, Brock University, Dept

of FOIS Faculty of Business, St Catharines, ON, L2S 3A1, Canada,

michael.armstrong@brocku.ca

This paper develops a model of short range ballistic missile defense and uses it to

study the performance of the Israeli Iron Dome system. The deterministic model

allows for inaccurate missiles, unsuccessful interceptions, and civil defense. Model

enhancements consider the trade-offs in attacking the interception system, the

difficulties faced by militants in assembling large salvos, and the effects of

imperfect missile classification by the defender. A stochastic model is also

developed. Analysis shows that system performance is highly sensitive to the

missile salvo size.

4 - United States Coast Guard Reduced Staffing Simulation

Chad A Long, United States Coast Guard, FAA Technical Center

Building 350, Atlantic City International Airport, Atlantic City, NJ,

08234, United States,

chad.a.long@uscg.mil

Under the current schedule, Air Station Atlantic City pilots are averaging 17 flight

hours per month, which is below the United States Coast Guard requirement. A

new schedule, with decreased staffing was simulated in Arena, to determine if it

would increase flight time and be robust enough to staff the unit year-round.

5 - Behavioral Analysis Of Illegal Fishery In The Gulf Of Mexico

Ali Pala, PhD Student, University at Buffalo, SUNY,

271 Palmdale Drive, Apt 5, Buffalo, NY, 14221, United States,

alipala@buffalo.edu

, Vineet Madasseri Payyappalli, Jun Zhuang

Illegal fishery activities in the Gulf of Mexico pose a threat to U.S. national

security, as well as damage to the economy. The U.S. Coast Guard estimates over

1,100 incursions annually by Mexican fisherman into U.S. regulated waters in the

Gulf of Mexico. In this research, we study the behavior of illegal fishermen and

analyze how that is affected by various factors such as weather, fish habitats,

seasonal effects, and others. We use data mining techniques and mathematical

models to propose optimal patrolling strategies that improve the chances of

interdicting illegal fishery.

WA89

Broadway C-Omni

Innovations in Connected and Autonomous Vehicles

Sponsored: TSL, Intelligent Transportation Systems (ITS)

Sponsored Session

Chair: Peiheng Li, Arizona State University, 1, Tempe, AZ, 6,

United States,

peihengl@asu.edu

1 - A Distributed Framework For Network-Wide Traffic Monitoring

And Platoon Information Aggregation Using V2V Communications

Peiheng Li, Arizona State University, Tempe, AZ, United States,

peihengl@asu.edu

, Yingyan Lou

This study explores an innovative framework for distributed traffic monitoring

and information aggregation using vehicle-to-vehicle communications alone.

Distributed protocols that run on individual vehicles are developed and tested

through simulation. A new concept of micro-discontinuity is proposed for

identifying platoons, and initiating and terminating traffic information

aggregation. The impact of market penetration rate is also analyzed.

2 - Development Of Adaptive Forward Collision Warning Algorithm

Incorporating Prediction Uncertainty To Reduce False Alarms

Yong Hoon Kim, Purdue University, West Lafayette, IN, United

States,

kim523@purdue.edu,

Shubham Agrawal, Srinivas Peeta

This study proposes an adaptive forward collision warning (FCW) algorithm that

adjusts its warning threshold according to the uncertainty in vehicle trajectory

prediction. The prediction uncertainty is modeled by kinematic information of

surrounding vehicles obtained through vehicle-to-vehicle communication.

Numerical experiments show that the proposed adaptive FCW algorithm can

provide early warning while reducing the rate of false/nuisance alarms.

3 - Integrating The Operations Perspective Into Planning Of

Automotive Vehicle Platforms

Paul Jana, Research assistant, Technische Universität Muenchen,

Arcisstr 21, Munich, 80333, Germany,

paul.jana@tum.de

,

Martin Grunow

To address the mass customization trade-off many automotive OEMs moved

towards a multi-platform based product portfolio. One major benefit is the

reduced internal variety in operations. So far, the multi-platform problem is

mostly approached from the product perspective without adopting the operations

perspective. We present a mixed-integer linear programming approach integrating

network design, capacity configuration, and further operations requirements into

automotive multi-platform planning and show the superiority of an integrated

approach in a numerical study based on an industry setting.

WA90

Broadway D-Omni

Health Care, Modeling XII

Contributed Session

Chair: Yang Zhan, Shanghai Jiao Tong University, Shanghai, 200030,

China,

zhanyangjy@sjtu.edu.cn

1 - A Stochastic Stackelberg-Nash-Cournot Equilibrium Model For

Long-term Care Capacity Planning

Ashkan Hassani, Texas A&M University, 4050 ETB, College

Station, TX, 77840, United States,

ashkanhassani@tamu.edu

,

Mark Alan Lawley, Nan Kong

Long-term care (LTC) is needed by people who have limitations in activities of

daily living. In general, there are two types of LTC delivery: nursing home care

and home- and community-based service (HCBS). We develop a stochastic

Stackelberg-Nash-Cournot (SNC) equilibrium model to determine the optimal

capacities for nursing home and HCBS. The capacity of HCBS will be determined

by the public insurer who performs as a leader in a Stackelberg game. Nursing

homes will be followers in the Stackelberg game with knowledge of the public

insurer’s policy, and they compete with each other and could reach Nash

equilibrium in a Nash-Cournot game.

2 - Dynamically Tracking Multiple Types Of Risks Of Falls With

Wearable Sensors via Data Association Problem

Alla Kammerdiner, Assistant Professor, New Mexico State

University, Las Cruces, NM, United States,

alla@nmsu.edu,

Andre Nunes Guerrero

Wearable sensors are used in practice for detection of falls. We formulate the data

association problem arising in dynamic tracking multiple types of risks of falls

with wearable sensors as the multi-dimensional problem (MAP). Tracking of risks

is done dynamically as data from multiple sensors arrive continually and are

partitioned into frames. We consider multiple-frame risk-track initiation and risk-

track maintenance for single-pane, double-pane, and multiple-pane sliding

windows. Track maintenance include: extending existing risk-tracks, terminating

existing tracks, and initiating new risk-tracks. The optimization models are

applied to empirical data from wearable sensor system.

3 - A Simulation Model Of Glucose Metabolism For Predicting Blood

Glucose Level

Buket Aydas, University of Wisconsin-Milwaukee, Milwaukee, WI,

53202, United States,

baydas@uwm.edu

, Mukul Goyal

We develop a human body glucose metabolism model for predicting blood glucose

levels using discrete event simulation. The model estimates the glycated

hemoglobin (HbA1c) level in the blood and predicts the impact, in terms of BGL

and HbA1c levels, of a particular diet-exercise routine. Each organ in the human

body that relates to glucose metabolism is modeled individually within the

simulation. The results are validated by using reference glycemic index (GI)

values of food.

4 - Two-level Optimization To Balance Value Flow And Patient Flow In

Operating Room Block Scheduling

Wei Li, Assistant Professor, University of Kentucky, 414J CRMS

Building, 147 Graham Avenue, Lexington, KY, 40506-0108,

United States,

wei.mike.li@uky.edu

Operating room (OR) block scheduling in the long term is important for OR

scheduling in the medium term and OR control in the short term. Similar to the

trade-off between production cost and holding cost in manufacturing systems,

there is a trade-off between value flow and patient flow in OR scheduling. We use

a two-level optimization model to balance the trade-off in OR scheduling, and test

the robustness of the model through simulation.

WA89