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INFORMS Nashville – 2016

387

WA69

Old Hickory- Omni

Joint Session Telecom/MIF: Modeling and

Optimization for Social Network Analysis

Sponsored: Telecommunications/MIF

Sponsored Session

Chair: Eli Olinick, Southern Methodist University, P.O. Box 750100,

Dallas, TX, 75275, United States,

olinick@lyle.smu.edu

1 - Design Of Survivability Networks Under Vulnerability Constraints

Luis Gouveia, University of Lisbon,

legouveia@fc.ul.pt

,

Markus Leitner

We consider the Network Design Problem with Vulnerability Constraints

(NDPVC) which simultaneously addresses resilience against failures and bounds

on the lengths of each communication path. We show how the new problem

differs from the Hop-Constrained Survivable Network Design Problem. We

explain that the reason for this difference is that hop-constrained Mengerian

theorems do not hold in general. Three graph theoretical characterizations of

feasible solutions to the NDPVC are derived and used to propose integer linear

programming formulations that are compared in a computational study.

2 - Characterizing Cohesive Subgroups In Social Networks

Zeynep Ertem, university of Texas at Austin, Austin, TX,

United States,

ertem@utexas.edu

, Zeynep Ertem, University of

Texas at Austin, Austin, TX, United States,

ertem@utexas.edu,

Sergiy Butenko, Alexander Veremyev, Yiming Wang

Identifying closely-knit groups of entities within complex systems might reveal

interesting social circles. In this talk, we first introduce a new mathematical model

that corresponds to a new definition for cohesive subgroups based on a

commonly used graph metric, clustering coefficient. We develop a network-

clustering algorithm using this new model. Second, we develop exact and

approximate algorithms for a special case of our first model, for which two

classical canonical problems (i.e., maximum independent set and maximum

clique) are lower bounds.

3 - The 2-club Polytope

Illya Hicks, Rice University,

ivhicks@rice.edu

, Foad Pajouh,

Balabhaskar Balasundaram

Given some positive integer k, a k-club of a graph G is a subset of its vertices S

such that the subgraph induced by S, say G[S], has diameter at most k. The

concept of k-clubs is one of many known relaxations of the concept of cliques for

graphs. The k-club model is particularly interesting from a polyhedral point of

view since it does not posses the hereditary property for k values larger than one.

In this talk, we explore the 2-club polytope and derive facets related to distance

domination. We also present some computational results displaying the

effectiveness of these new inequalities. This is joint work with Foad Pajouh and

Balabhaskar Balasundaram.

4 - A Network Flow Duality Foundation For Hierarchical

Cluster Analysis

Eli Olinick, Southern Methodist University,

olinick@lyle.smu.edu

Many popular data clustering and classification techniques from the social

sciences lack a rigorous foundation in graph theory and mathematical

optimization even though they are often based on graph and network models of

interaction and affinity. We show that a clustering method based on the

fundamental graph-theoretic concept of density and implemented via a duality to

network flows can produce more comprehensive and meaningful results in

appropriate problem domains.

WA70

Acoustic- Omni

Transportation, Ops I

Contributed Session

Chair: Markus Matthaus Frey, Dr., Technical University Munich,

Arcisstrasse 21, Munich, 80333, Germany,

markus.frey@tum.de

1 - A Simulation-based Optimization Framework For Online Urban

Traffic Control Problems

Linsen Chong, Massachusetts Institute of Technology,

77 Massachusetts Avenue, Room 1-245, Cambridge, MA, 02139,

United States,

linsenc@mit.edu,

Carolina Osorio

We propose an online simulation-based optimization (SO) framework that uses

computationally expensive microscopic simulators for real time traffic control

problems. The framework consists of a metamodel SO method, a data-fed

analytical traffic model method and a data-driven method. This framework is

computationally efficient and allows a high-dimensional non-linear optimization

problem to be solved in real time. We illustrate the performance of the proposed

method through a large-scale urban traffic responsive control case study.

2 - Spatial-temporal Air Quality Mapping For Smart-in Vehicle Climate

Control Management

Yimin Liu, Ford Motor Company, Dearborn, MI, United States,

yliu59@ford.com

, Yu Chen, Jinjing Yang, Yun-Jhong Wu

The proliferation of connected car technologies with App and cloud-based

analytics provided opportunities for effective vehicle climate control

management. To enable the technologies, we propose an advanced spatial-

temporal model to forecast a high resolution air pollution map fusing existing

government data with the data from vehicle external sensors. Furthermore, an

optimization algorithm is developed to manage in-vehicle air quality at the

optimal level during the trip via the technology.

3 - Road Pricing For Informed Users With Risk Neutral Time Cost

And Risk Averse Health Cost

Zhen Tan, Cornell University, 314 University Ave., Apt 7,

Ithaca, NY, 14850, United States,

zt78@cornell.edu

We analyze tolling for road users with differentiated trip value and delay and

health cost incurred by congestion. Users are informed with delay and pollutant

exposure level. We assume users are risk-neutral to delay but risk-averse to toxic

air inhalation. The linear delay disutility has a multiplier increasing in the trip-

value, while user’s disutility function of inhalation has absolute risk-aversion

decreasing in trip-value. Based on properties of steady-state volume-

delay/inhalation relationships, we characterize the welfare /revenue maximizing

price for one bottleneck and for one prioritized route among two. We discuss on

how health information affects congestion management.

4 - Using Optimization To Improve The Freight Transportation

Operations Of A Fedex Licensee

Omar Ben-Ayed, Qatar University, College of Business and

Economics, Doha, Qatar,

omar.benayed@qu.edu.qa,

Salem Hamzaoui, Leandro C Coelho

We describe the applications of network design and timetabling optimization to a

major freight transportation company in the MENA region in order to improve its

performance in terms of cost and delivery time. The application involved two

sequential projects. The first developed and implemented new design and new

timetable that led to remarkable gains for the company. Later, the second project

involved devising better optimization models, obtaining more accurate data, and

more importantly establishing a broader cooperation with the practitioners,

mostly thanks to the trust gained after the success of the first project. Again, the

implementation of our results led to significant improvements.

5 - Column Generation For Vehicle Routing Problems With

Synchronization Constraints

Markus Matthaus Frey, Dr., Technical University Munich,

Arcisstrasse 21, Munich, 80333, Germany,

markus.frey@tum.de

,

Martin Fink, Ferdinand Kiermaier, Francois Soumis,

Guy Desaulniers, Rainer Kolisch

Synchronization of workers and vehicles plays a major role in many industries

and belongs to the class of vehicle routing problems with multiple

synchronization constraints (VRPMSs). We present a VRPMSs archetype covering

all synchronization types including movement and load, and propose two

mathematical formulations to efficiently model all synchronization types.

Additionally, we develop a column generation approach employing a novel fixing

strategy.

WA71

Electric- Omni

Game Theory I

Contributed Session

Chair: Jian Yang, Associate Professor, Rutgers University,

1 Washington Park, Rm 1084, Newark, NJ, 7102, United States,

jyang@business.rutgers.edu

1 - A Unified Framework For Vehicle Licenses Allocation

Zhou Chen, Hong Kong University of Science and Technology,

Clear Water Bay, Hong Kong, Hong Kong,

zchenaq@connect.ust.hk

, Qi Qi, Changjun Wang

Recently, many big cities began to adopt the vehicle licenses quantitative control

policies. In these cities, a limited number of licenses are allocated every month.

The current allocation policies differ from city to city. In this work, we propose to

target the dual objectives of efficiency and equality and present a two-stage

framework that unifies most current mechanisms and outperforms all existing

mechanisms in both efficiency and equality. The unified framework also leads to

easy implementation due to its truthfulness, distribution-free and highly

efficiency. Furthermore, we extend our unified framework into multiple stages

and fully characterize the optimal mechanism.

WA71