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INFORMS Nashville – 2016

154

MB18

106A-MCC

Recent Advances in Theory and Applications of IPCO

Sponsored: Optimization, Integer and Discrete Optimization

Sponsored Session

Chair: Manish Bansal, Northwestern University, C234 Technological

Institute, 2145 Sheridan Road, Evanston, IL, 60202, United States,

manish.bansal@northwestern.edu

1 - Decomposition For Loosely Coupled Mixed-integer Programs:

A Multiobjective Perspective

Merve Bodur, Georgia Institute of Technology,

merve.bodur@gatech.edu

, Natashia Boland, Shabbir Ahmed,

George L Nemhauser

We consider loosely coupled mixed-integer programs (MIPs), that consist of

(possibly a large number of) interrelated subsystems and a small number of

constraints, which link blocks of variables that correspond to different subsystems.

Motivated by recent developments in multi-objective programming (MOP), we

develop a MOP-based branch-and-price algorithm to solve loosely coupled MIPs.

We discuss the similarities and differences of our algorithm with the traditional

branch-and-price algorithm. Also, we present computational results on instances

with knapsack structure in the subsystems.

2 - Maximum Demand Rectangular Location Problem

Manish Bansal, Northwestern University, Evanston, IL, United

States,

manish.bansal@northwestern.edu

, Kiavash Kianfar

We introduce a new generalization of the classical planar maximum coverage

location problem by positioning a given number of rectangular service zones (SZs)

on the 2-D plane to cover a set of existing (possibly overlapping) rectangular

demand zones such that the total covered demand is maximized. We refer to this

problem as Maximum Demand Rectangular Location Problem (MDRLP) which

also has application in camera-frame selection for telerobotics. We present an

improved algorithm for the single-SZ MDRLP, which is at least two times faster

than the existing exact algorithm. We then provide theoretical properties for

multi-SZ MDRLP and an exact algorithm to solve it along with our computational

results.

3 - Cutting Planes fromMultiple-term Disjunctions

Egon Balas, Carnegie Mellon University,

eb17@andrew.cmu.edu

(Less than 600 characters excluding spaces): Lift-and-project cuts from split

disjunctions have their counterpart as intersection cuts from a (feasible or

infeasible) LP tableau, and thus can be generated by pivoting in the latter. This

correspondence breaks down in the case of general disjunctions: here the bases of

the CGLP and associated L&P cuts can be either regular or irregular. Irregular cuts

do not correspond to intersection cuts and cannot be obtained by pivoting in the

LP tableau; they tend to be more numerous and stronger than regular cuts. Some

irregular L&P cuts can be generated without recourse to a higher dimensional

CGLP, as generalized intersection cuts from the disjunction underlying the L&P

cut.

MB19

106B-MCC

Models and Methods for Large-Scale

Mixed-Integer Optimization

Sponsored: Computing

Sponsored Session

Chair: Simge Kucukyavuz, Ohio State University, Ohio State University,

Columbus, OH, United States,

kucukyavuz.2@osu.edu

1 - Two-stage Stochastic Programming Models Under Multivariate

Risk Constraints

Merve Merakli, Ohio State Universtity, Columbus, OH,

United States,

merakli.1@osu.edu

, Simge Kucukyavuz,

Nilay Noyan

In this study, we consider multicriteria risk-averse two-stage stochastic

programming problems. The aim is to find the best decision for which the

associated random outcome vector of interest is preferable to a specified

benchmark with respect to the multivariate polyhedral conditional value-at-risk

relation. In this case, classical decomposition methods can not be used due to

complicating risk constraints. We propose an exact solution algorithm based on

Benders decomposition and show its convergence. Computational experiments

are performed on a disaster relief network design problem.

2 - Chance-constrained Stochastic Programming Under Variable

Reliability Levels With An Application To Humanitarian Relief

Network Design

Özgün Elçi, Sabanci University, Istanbul, 34956, Turkey,

nnoyan@sabanciuniv.edu

, Nilay Noyan, Kerem Bulbul

A recently introduced class of models treats reliability levels associated with

chance constraints as decision variables and trades off the actual cost against the

cost of the selected reliability levels. Leveraging recent methodological advances

for solving chance-constrained linear programs with fixed reliability levels, we

develop strong MIP formulations for this new variant with variable reliability

levels. In addition, we introduce an alternate cost function type associated with

the reliability levels which requires capturing the value-at-risk associated with a

variable reliability level. We apply the proposed modeling approach to a new

humanitarian relief network design problem.

3 - Bilevel Risk Averse Formulations Of Stochastic

Programming Problems

Deniz Eskandani, Rutgers University, 100 Rockafeller Rd,

Piscataway, NJ, 08854, United States,

deniz.eskandani@rutgers.edu

Jonathan Eckstein

We describe a bilevel programming technique to time-consistently formulate 3-

stage stochastic programs without using nested risk measures. For some classes of

applications, we empirically demonstrate that its behavior can be dramatically

different from standard formulations.

4 - Irreducible Infeasible Subsystem Decomposition For Stochastic

Integer Programs With Probabilistic Constraints

Lewis Ntaimo, Associate Professor, Texas A&M University, College

Station, TX, United States,

ntaimo@tamu.edu

Bernardo Pagnoncelli

Probabilistically constrained stochastic integer programs (PC-SIPs) are very

challenging to solve and linear programming (LP) provides very weak bounds on

the optimal value. This work considers a decomposition approach using

irreducible infeasible subsystem (IIS) inequalities for strengthening the LP-

relaxation of PC-SIPs. Preliminary computational results will be presented.

MB20

106C-MCC

Research and Teaching Opportunities in

Project Management

Invited: Tutorial

Invited Session

Chair: Nicholas G Hall, Ohio State University, 658 Fisher Hall, 2100 Neil

Avenue, Columbus, OH, 43210-1144, United States,

hall.33@osu.edu

1 - Research And Teaching Opportunities inProject Management

Nicholas G Hall, Ohio State University, 658 Fisher Hall,

2100 Neil Avenue, Columbus, OH, 43210-1144, United States,

hall.33@osu.edu

One-fifth of the world’s economic activity, with an annual value of $12 trillion, is

organized using the business process of project management. This process has

exhibited dramatic growth in business interest in recent years, with a greater than

1000% increase in Project Management Institute membership since 1996.

Contributing to this growth are many new applications of project management.

These include IT implementations, research and development, software

development, corporate change management, and new product and service

development. However, the very different characteristics of these modern projects

present new challenges. The partial resolution of these challenges within project

management practice over the last 20 years defines numerous interesting

opportunities for academic researchers. These research opportunities make use of

a remarkably broad range of methodologies, including robust optimization,

cooperative and noncooperative game theory, nonlinear optimization, predictive

analytics, empirical studies, and behavioral modeling. Furthermore, the $4.5

trillion that is annually at risk from a shortage of skilled project managers, and the

15.7 million new jobs in project management expected by 2020, provide great

opportunities for contributions to project management education. These

educational opportunities include the integration of case studies, analytics

challenges, online simulations, in-class games, self-assessment exercises, videos,

and guest speaker presentations, which together form an appealing course for

both business and engineering schools.

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