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INFORMS Nashville – 2016

360

TD78

Legends F- Omni

Opt, Network IV

Contributed Session

Chair: Devendra Anil Shelar, Graduate Research Assistant,

Massachusetts Institute of Technology, 550 Memorial Drive,

Tang Residence Hall, 8D2, Cambridge, MA, 2139, United States,

shelard@mit.edu

1 - Cost Minimization Of Government Issued Cell Phones

Alexander Reid Barclay, Slippery Rock University, 20439 Hillview

Road, Saegertown, PA, 16433, United States,

axb1106@sru.edu

,

John Yannotty

Increasing costs associated with cell phone circuits has led the United States

Pentagon to study consolidation of its wireless network in attempt to minimize

annual expense while maximizing efficiency. During consolidation, Private Virtual

Channels (PVCs) are transferred from either low utilized or expensive circuits to

existing circuits with higher utilization and lower annual cost. The consolidation

process is further constrained by region, service package (VCI code), and

utilization capacity per circuit. Through the use of an optimized network annual

expenses are decreased from approximately $11 million to $3.1 million.

2 - Bi-objective Maximal-covering Minimal-tour Problem With

Applications In Disaster Relief

Sanaz Goldani, PhD. Student, North Carolina State University,

2127A Gorman Street, Raleigh, NC, 27606, United States,

sgoldan@ncsu.edu

, Yahya Fathi

The Bi-objective Maximal-covering Minimal-tour Problem (BCTP) is defined on a

graph G = (V W, E), where W is a set of vertices associated with the demand. The

BCTP aims at determining a Hamiltonian cycle on a subset of V so as to

simultaneously minimize the cycle length and the total uncovered demand. A

demand is covered if its associated vertex lies within a pre-specified distance from

a vertex of the cycle. The problem is formulated as a bi-objective IP and a branch-

and-cut algorithm is proposed to solve this problem in the context of the

-constraint method. Computational results are presented.

3 - A Dynamic Programming Approach For Solving The

Orienteering Problem With Time Windows Stochastic Profits And

Risk Constraints

Hadi Feyzollahi, State University of New York at Buffalo, Buffalo,

NY, 14260, United States,

hadifeyz@buffalo.edu,

Jose Luis Walteros

Given a graph with stochastic profits, risk levels and time windows associated

with stopping at each of its nodes, we tackle the problem of finding a route that

visits a subset of nodes, within a predefined time, so that the expected sum of the

prizes collected is maximized, without exceeding a limit on the observed risk. We

model the random nature of the profits and risk levels as mixed probability

distributions and propose a dynamic programming approach to solve the resulting

problem. We test our approach by solving a test bed of instances arising from the

context of airborne sensor routing.

4 - Pedestrian-vehicle Mixed-flow Routing Problem In Emergency

Evacuation Network For Public Places

Lei Bu, Institute for Multimodal Transportation, Jackson, MS,

United States,

leibu04168@gmail.com

, Chuanzhong Yin,

Wang Feng, Wenchao Shen, Liang Zou

Pedestrian-vehicle mixed-flow routing problem is studied at a public place to

decrease the traffic delay at intersection based on a network planning strategy. An

integer linear programming formulation is proposed to optimize the

representation of space-time status, intersection selection, signal timing, turning

strategy, walkway capacity and roadway capacity constraints with an objective

function to minimize the total cost in the evacuation network. A case study using

traffic microsimulation S-Paramics for pedestrian-vehicle mixed-flow evacuation

around Tianhe Sports Centre Stadium in Guangzhou, China verifies the

effectiveness of the formulation.

5 - Vulnerability Analysis Of Optimal Power Flow Problem Under Data

Manipulation Attacks

Devendra Anil Shelar, Graduate Research Assistant, Massachusetts

Institute of Technology, 550 Memorial Drive, Tang Residence Hall,

8D2, Cambridge, MA, 02139, United States,

shelard@mit.edu,

Saurabh Amin

A transmission network operator (TSO) solves the classical optimal power flow

(OPF) problem to ensure supply-demand balance, subject to the constraints on

generator outputs, line capacities, and power flows. We study the effects of

malicious parameter manipulations on the OPF solutions using a sequential game

formulation. The defender is the TSO who minimizes the cost of generation. The

attacker is a malicious adversary who can manipulate certain parameters of the

network to introduce capacity bounds violations. We show that an approximately

optimal attack can be computed using a MILP.

TD79

Legends G- Omni

Opt, Stochastic IV

Contributed Session

Chair: Junfeng Zhu, University of Minnesota, 1019 29th Ave SE Unit C,

Apt 103, Saint Paul, MN, 55414, United States,

zhuxx793@umn.edu

1 - A Chance-constrained Two-stage Stochastic Program For A

Reliable Microgrid System

Md Abdul Quddus, PhD Student, Mississippi State University,

Department of Industrial & Systems Engineering, PO Box 9542,

Starkville, MS, 39762, United States,

mq90@msstate.edu

,

Carlos Marino, Ridvan Gedik, Mohammad Marufuzzaman

Curtailment of renewable resources generation during the Microgrid operation

affects revenues and increases greenhouses gas emissions. Researchers pay little

attention in scalable stochastic models for Microgrid for multiple nodes

considering the variability of renewable resources. This study bridges the research

gap by developing a scalable a chance-constrained two-stage stochastic program

to ensure that a significant portion of the renewable resource power output at

each operating hour will be utilized.

2 - Tackling Drug Shortages By Examining Resiliency And

Robustness In Pharmaceutical Supply Chains

Rana Azghandi, PhD Candidate, Northeastern University,

360 Huntington Avenue, Boston, MA, 02115, United States,

azghandi.r@husky.neu.edu,

Jacqueline Griffin, Ozlem Ergun

Over the past five years, there has been an epidemic of drug shortages. While the

drug shortage problem is widespread, there is a poor understanding of the

features of disruptions in the complex system that lead to these shortages, which

are difficult to recover from. Using a stochastic optimization modeling framework,

we identify system features and policies that are needed to operate a robust and

resilient pharmaceutical supply chain, with minimal drug shortages and quick

recovery from shortages.

3 - Robust And Optimistic Games With Bounded Polyhedral

Uncertainty Sets

Giovanni Paolo Crespi, Associate Professor, Universita’ Degli Studi

dell’Insubria, Via Monte Generoso, 71, Varese, 21100, Italy,

giovanni.crespi@uninsubria.it

, Matteo Rocca, Davide Radi

We introduce a distribution-free model of incomplete information for finite games

with bounded polyhedral payoff uncertainty sets. We assume players adopt either

a robust or an optimistic approach to contend with payoff uncertainty. When all

players adopt a robust optimization approach, we obtain a robust game as in

Aghassi and Bertsimas in 2006. When all players adopt an optimistic optimization

approach, we define an optimistic game. Existence of equilibrium in both

approaches is proven. Further, we propose an algorithm for optimistic-

optimization equilibria. Both equilibria are identifiable by a method analogous to

those used for Nash equilibria of a finite game with complete information.

4 - Robust Optimization For Chronic Myeloid Leukemia Treatment

Under Uncertainty

Junfeng Zhu, University of Minnesota, 1019 29th Ave SE Unit C,

Apt 103, Saint Paul, MN, 55414, United States,

zhuxx793@umn.edu

We propose an approach to deal with parameter uncertainty for multistage mixed

integer optimal control problem(MIOCP) in CML applications. We first build a

model to describe the dynamics of leukemic cells and side effects during CML

treatment. The nominal optimization problem is to minimize the cumulative

leukemic cell size over a planning horizon. We then consider about how the

parameter uncertainty affects the optimal solution. In this project, we only

consider about uncertainty for parameter with the most important factor. Finally,

we propose the robust mixed integer problem and transform it into a mixed

integer linear problem which is solvable.

TD78