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INFORMS Nashville – 2016

49

2 - Parallel Branch And Bound Revisited

Lluis-Miquel Munguia, Georgia Institute of Technology,

lluis.munguia@gatech.edu,

Geoffrey Malcolm Oxberry,

Deepak Rajan

Branch and Bound (B&B) is a widely used algorithm for solving Mixed Integer

Programs (MIPs). Despite its straightforward parallelization, current B&B

implementations have shown to scale inconsistently. In this talk, we propose a

new decentralized and lightweight implementation of parallel Branch & Bound

for PIPS-SBB, a distributed-memory parallel stochastic MIP solver. In this work,

we exploit parallelism at two levels of the optimization process with the objective

of increasing parallel efficiency. We present computational results to evaluate the

effectiveness of our approach.

3 - Scalable Strategies Exploited by Parallel Nonlinear

Solver PIPS-NLP

Nai-Yuan Chiang, United Technology Research Center,

chiangn@utrc.utc.com

We present PIPS-NLP, a software library for the solution of large-scale structured

nonconvex optimization problems on high-performance computers. We focus on

linear algebra parallelization strategies and discuss how such strategies influence

the choice of algorithmic frameworks, while all the proposed approaches

guarantee global convergence. Small examples about using parallel solver PIPS-

NLP via AMPL or StructureJuMP are given, to illustrate how to exploit the

problem structures. Numerical studies from large-scale security-constrained

ACOPF and line-pack dispatch in natural gas networks also demonstrate the

robustness and efficiency of PIPS-NLP.

SB19

106B-MCC

Bilevel Programming: Methodology and Applications

Sponsored: Computing

Sponsored Session

Chair: Juan S. Borrero, University of Pittsburgh, 1012 Benedum Hall,

Pittsburgh, PA, 15261, United States,

jsb81@pitt.edu

Co-Chair: M. Hosein Zare, University of Pittsburgh, 1012 Benedum

Hall, Pittsburgh, PA, 15260, United States,

moz3@pitt.edu

1 - A Sampling-based Exact Approach For The Bilevel Mixed Integer

Programming Problem

Leonardo Lozano, Clemson University,

llozano@g.clemson.edu

Cole Smith

We examine bilevel mixed integer programs which are difficult to solve because

the leader feasible region is defined in part by optimality conditions governing the

follower variables, which are difficult to characterize because of the nonconvexity

of the follower problem. We propose an exact finite algorithm for these problems

based on an adaptive sampling scheme, and demonstrate how this algorithm can

be tailored to accommodate either optimistic or pessimistic assumptions on the

follower behavior. Computational experiments demonstrate that our approach

outperforms existing algorithms that are tailored to problems in which all

functions are assumed to be linear.

2 - On Bilevel Progams With Inexact Follower

M. Hosein Zare, University of Pittsburgh,

moz3@pitt.edu

We consider classes of bilevel programs, where the upper-level decision-maker

(i.e., the leader) needs to consider the uncertain behavior of the lower-level

decision maker (i.e., the follower). We derive some theoretical properties of the

proposed models, and illustrate our results with numerical illustrations.

3 - Reliable Vehicle Sharing Program Network Design

Ran Zhang, University of South Florida,

ranzhang@mail.usf.edu

,

Bo Zeng

This talk develops a bi-level optimization model to achieve a reliable vehicle

sharing program network design. A set of numerical study will be presented to

demonstrate our design model.

4 - Sequential Max-min Bilevel Programming With Incomplete

Information And Learning

Juan S. Borrero, University of Pittsburgh,

jsb81@pitt.edu

Oleg A Prokopyev, Denis R. Saure

We consider an adversarial bilevel problem where the leader and follower interact

repeatedly. At each period the leader implements an upper-level solution after

which the follower reacts by solving the lower-level problem. The leader has

incomplete information about the variables, constraints, and data of the follower’s

problem, and learns about them from observing his reaction to her actions. Given

that the leader’s objective is to maximize the costs the follower incurs across all

periods, we study a set of greedy and robust decision policies that are able to find

an optimal solution to the full-information bilevel problem in finite time periods,

and moreover, are worse-case optimal.

SB20

106C-MCC

Methods and Applications of Network Sampling

Invited: Tutorial

Invited Session

Chair: Mohammad Al Hasan, Indiana University/Purdue University,

Department of Computer Science, Indianapolis, IN, 46202,

United States,

alhasan@iupui.edu

1 - Methods And Applications Of Network Sampling

Mohammad Al Hasan, Indiana University/Purdue University,

Indianapolis, IN, 46202, United States,

alhasan@iupui.edu

Network data appears in various domains, including social, communication, and

information sciences. Analysis of such data is crucial for making inferences and

predictions about these networks, and moreover, for understanding the different

processes that drive their evolution. However, a major bottleneck to perform such

an analysis is the massive size of real-life networks, which makes modeling and

analyzing these networks simply infeasible. Further, many networks, specifically,

those that belong to social and communication domains are not visible to the

public due to privacy concerns, and other networks, such as the Web, are only

accessible via crawling. Therefore, to overcome the above challenges, researchers

use network sampling overwhelmingly as a key statistical approach to select a

sub-population of interest that can be studied thoroughly. In this tutorial, we aim

to cover a diverse collection of methodologies and applications of network

sampling. We will base the discussion of network sampling in terms of population

of interest (vertices, edges, motifs), and sampling methodologies (such as

Metropolis-Hastings, random walk, and importance sampling). We will also

present a number of applications of these methods.

SB21

107A-MCC

Applications in Healthcare

Sponsored: Health Applications

Sponsored Session

Chair: Sarah Kadish, Dana-Farber Cancer Instititue, 450 Brookline Ave,

Boston, MA, 02215, United States,

sarah_kadish@dfci.harvard.edu

1 - Determining The Optimal Schedule For Premixing

Chemotherapy Drugs

Donald Richardson, University of Michigan, 2753 IOE Building,

1205 Beal, Ann Arbor, MI, 48109-2117, United States,

donalric@umich.edu

, Amy Cohn

In collaboration with the University of Michigan Comprehensive Cancer Center,

we have developed an optimization-based approach to improve make-ahead

policies for chemotherapy drugs for infusion patients. We first present our

optimization model. Then we present our proposed user interface to aid our

collaborators with interpreting the solutions.

2 - Operations Research Applications At A Comprehesive

Cancer Center

Victoria Jordan, University of Texas MD,

vsjordan@mdanderson.org

Industrial and Systems Engineering is an emerging field in healthcare. The

University of Texas MD Anderson Cancer Center has Healthcare Systems

Engineers working in the Office of Performance Improvement. This session will

provide a high level overview of OR applications to improve patient flow and the

patient experience, reduce costs, and improve safety. Also presented will be more

clinical applications to improve delivery of care and the care itself.

3 - Factors That Predict Discharge Disposition At Admission

For Veterans

Nicholas Ballester, Wright State University, 207 Russ Center,

3640 Col Glenn Hwy, Dayton, OH, 45435, United States,

ballester.2@wright.edu

, Pratik J Parikh

Discharge delays reduce inpatient quality of care and reverberate back through

the health care system, tying up valuable resources needed by incoming patients.

Discharge disposition, in particular, has a significant effect as different dispositions

require vastly different procedures for insurance and transportation coordination.

We have developed model to predict discharge disposition upon admission for

veterans admitted to a general internal medicine unit. This model considers

patient factors known at admission such as demographics, medical history, and

living status. Preliminary findings from a trial implementation will also be

discussed.

SB21