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INFORMS Philadelphia – 2015

263

TA16

16-Franklin 6, Marriott

Disjunctive Conic and Optimization Problems

Sponsor: Optimization/Linear and Conic Optimization

Sponsored Session

Chair: Julio Goez, Postdoctoral Fellow, Ecole Polytechnique Montreal

and GERAD, 2900 Boulevard Edouard-Montpetit, Montr

é

al, QC, H3T

1J4, Canada,

jgoez1@gmail.com

1 - A Generalized Trust Region Subproblem with Hollows and

Non-Intersecting Linear Constraints

Boshi Yang, The University of Iowa, 14 MacLean Hall, Iowa City,

IA, 52242, United States of America,

boshi-yang@uiowa.edu,

Samuel Burer, Kurt Anstreicher

We study an extended trust region subproblem (eTRS) in which a nonconvex

quadratic function is minimized over a structured nonconvex feasible region: the

unit ball with r hollows (or holes) and m linear cuts. Under some non-

intersecting assumptions, when r = 0 or when r = 1 and m = 0, it is known that

the eTRS has a tight, polynomial-time solvable conic relaxation. We show that the

conic relaxation is also tight for general r and m precisely when some non-

intersecting assumptions are satisfied.

2 - On Disjunctive Conic Cuts: When They Exist, When They Cut?

Mohammad Shahabsafa, Lehigh University, 14 Duh Dr, Apt. 221,

Bethlehem, PA, 18015, United States of America,

mos313@lehigh.edu

The development of Disjunctive Conic Cuts (DCCs) for MISOCO problems has

recently gained significant interest in the optimization community. Identification

of cases when DCCs are not existing, or not useful, saves computational time. In

this study, we explore cases where either the DCC methodology does not derive a

DCC which is cutting off the feasible region, or a DCC does not exist. Among

others, we show that deriving DCCs directly for p-order cone optimization

problems seems to be impossible.

3 - Disjunctive Conic and Cylindrical Cut Management Strategies for

Portfolio Optimization Problems

Sertalp Cay, Lehigh University, 200 W Packer Ave, Bethlehem,

PA, 18015, United States of America,

sec312@lehigh.edu

,

Tamás Terlaky, Julio Goez

Disjunctive conic and cylindrical cuts lead significant positive impact while solving

Mixed Integer Second Order Cone Optimization (MISOCO) problems. The

decision for adding and removing these cuts should take depth of the cut and

structure of the problem into consideration. In this study, we explore strategies to

apply these novel cuts to discrete portfolio optimization problems within a

Branch-and-Conic-Cut software package. Preliminary results are provided to

compare these strategies.

4 - Novel Family of Cuts for SDP Relaxations for Some Classes of

Combinatorial Problems

Elspeth Adams,

elspeth.adams@polymtl.ca,

Miguel Anjos

k-projection polytope constraints (kPPCs) are a family of constraints that tighten

SDP relaxations using the inner description of small polytopes, as opposed to the

typical facet description. We examine the properties of kPPCs, methods for

separating violated kPPCs and their impact on the bounds in a cutting plane

framework. Problems satisfying the required projection property, such as the

max-cut and stable set problems, will be considered and results will focus on large

instances.

TA17

17-Franklin 7, Marriott

Network Resilience and Applications

Sponsor: Optimization/Network Optimization

Sponsored Session

Chair: Konstantin Pavlikov, University of Florida, 1350 N. Poquito

Road, Shalimar, FL, 32579, United States of America,

kpavlikov@ufl.edu

1 - Resilient and Structurally Controllable Supply Networks

under Disruptions

Amirhossein Khosrojerdi, The University of Oklahoma, 202 West

Boyd Street, Suite 218, Norman, Ok, 73071, United States of

America,

akhosrojerdi@ou.edu,

Farrokh Mistree, Janet K. Allen,

Krishnaiyan Thulsiraman

A resilient supply network is one that has the ability to recover quickly from

disruptions and ensure customers are minimally affected. Designing the structure

of supply networks to be controllable is a way toward resilience. A three-stage

method is proposed to design a resilient and controllable supply network under

structural disruptions. The method is exercised using an example from the

petroleum industry.

2 - Embedding Resilience on Logistic and Supply Chain Networks

Jose Santivanez, Associate Professor, Universidad del Turabo, P.O.

Box 3030, Gurabo, PR, 00778, Puerto Rico,

santivanezj@suagm.edu,

Emanuel Melachrinoudis

This paper develops models for improving resilience to disruptions on critical

infrastructures such as logistics and supply chain networks through locational,

coverage, and path selection decisions. Network resilience is measured by the

ratio of the delivered amount of service over the total requested service when a

propagating disruption occurs. Availability of service depends on the capability of

the network to establish connectivity between service facilities and customers.

3 - Improving Supply Chain Network Resiliency with Preferential

Growth Decision Making

Ashley Skeete, PhD Fellow, Western New England University,

1215 Wilbraham Road, Springfield, MA, 01119, United States of

America,

ashley.skeete@wne.edu

, Julie Drzymalski

Network resiliency is the ability to maintain operations and connectedness under

the loss of some structures or functions. This research develops decision making

techniques in the supply chain context to improve resiliency of existing supply

chain networks as they grow with time. Consideration is given to factors such as

network topology, production requirements, the presence of redundancies and

cost.

4 - Hub Location-allocation for Combined Fixed-wireless and

Wireline Broadband Access

Ramesh Bollapragada, Professor, College of Business, San

Francisco State University, 1600 Holloway Avenue, San Francisco,

CA, 94132, United States of America,

rameshb@sfsu.edu

,

Uday Rao, Min Li, Junying Wu

This paper studies a telecommunications hub location model that includes the

classical capacitated facility location problem on a wireline network, as well as a

wireless network with technological as well as capacity constraints. There are

multiple wireline and wireless hub types, differing in costs and capacities. We

present a mathematical model to maximize network profit, build and test a quick

greedy heuristic with the optimal, and conduct sensitivity analysis using

representative data.

TA18

18-Franklin 8, Marriott

Scientometric Data Analytics

Cluster: Modeling and Methodologies in Big Data

Invited Session

Chair: Dohyun Kim, Myongji University, Yongin, Korea,

Republic of,

norman.kim@gmail.com

1 - Ranking Outliers in Patent Citation Network using Attributes and

Graph Structure

Ali Tosyali, Rutgers, the State University of New Jersey, Dept. of

ISE 96 Frelinghuysen Road, CoRE Building, Room 201,

Piscataway, NJ, United States of America,

alitosyali4778@gmail.com

, Byunghoon Kim, Jeongsub Choi,

Byoung-yul Coh, Jae-min Lee, Myong K (MK) Jeong,

Andrew Rodriguez

Being able to rank patents in outlierness is a crucial task for patent analysis. In the

past, existing general outlier ranking methods have been applied to patent data.

In this work, we propose a new outlier ranking method developed especially for

patents in attributed patent citation network. We utilized both graph structure

and attributes to rank outlier patents in patent citation network.

2 - Scientometric Analysis of Carbon Capture and Storage Research

Faezeh Karimi, Dr, University of Sydney, Project Management,

Sydney, 2006, Australia,

faezeh.karimi@sydney.edu.au,

Rajab Khalilpour

This study investigates the evolutionary trends of the international collaborations

among the research community of carbon capture and storage (CCS) by looking

at the collaboration network of countries publishing on CCS. The study elaborates

how both international collaboration network and knowledge structure of the

field have notably developed and interlinked over the years especially after 2005

during which almost 94% of the publications appeared.

3 - Keyword Hierarchy Detection using Keyword Network Analysis

Dohyun Kim, Myongji University, Yongin, Korea, Republic of,

norman.kim@gmail.com,

We Shim, Oh-jin Kwon,

June Young Lee, Sejung Ahn

We developed a keyword hierarchy detection algorithm using the keywork

network. Using the detection method, the hierarchy of keywords collected from

the same semantic field may be built.The keyword hierarchy detection method

can be used for a automatic preprocessing step to refine keywords in various topic

modeling methods.

TA18