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INFORMS Nashville – 2016

452

3 - A New Mathematical Formulation For Choice-based

Optimization Problems

Shadi Sharif Azadeh, Ecole Poloytechnique Federale de Lausanne,

38 Route de la Condemine, Lausanne, 1030, Switzerland,

shadi.sharifazadeh@epfl.ch,

Meritxell Pacheco, Michel Bierlaire

The mathematical modeling of choice behavior has been an active field of

research. Their complexity leads to mathematical formulations that are highly

non convex in the explanatory variables especially when they are integrated

inside an MILP to take into account both supply and demand constraints. We

propose a new mathematical modeling that can simplify nonlinear and

nonconvex choice-based optimization models with the help of simulation inside

an MILP framework. We have tested the model on a real case study and

computational results testify the goodness of this modeling approach.

4 - Microsoft Excel Evolutionary Solver And Resource Constrained

Project Scheduling

Norbert Trautmann, Professor, University of Bern, FM Quantitative

Methoden, Schuetzenmattstrasse 14, Bern, 3012, Switzerland,

norbert.trautmann@pqm.unibe.ch

, Mario Gnägi

We discuss how to apply the evolutionary solver contained in Microsoft Excel’s

Solver Add-in to the resource-constrained project scheduling problem (RCPSP).

Combining a novel spreadsheet-based implementation of an appropriate

schedule-generation scheme with the evolutionary solver provides surprisingly

good schedules.

5 - An Exact Algorithm For The Demand Constrained 0-1

Knapsack Problem

Christopher John Wishon, PhD Candidate, Arizona State

University, Tempe, AZ, United States,

cwishon@asu.edu

,

J. Rene Villalobos

The demand constrained KP is a variant of the binary KP in which a weighted

summation of the variables must exceed a given threshold in addition to the

standard KP constraint. The first exact algorithm for solving this variant is

presented which utilizes a reduction routine prior to a breadth-first expanding

core approach for determining the remaining variables. A polynomial time

solution to the continuous relaxation is employed such that high quality, integer

Lagrangian and surrogate relaxations are solved to obtain tight upper bounds.

Performance is tested using computational experiments with results

demonstrating that the algorithm can outperform commercial software.

WC80

Broadway E- Omni

Health Care, Public III

Contributed Session

Chair: Philip F. Musa, Associate Professor and Programs Director,

The University of Alabama at Birmingham (UAB), P.O. Box 55544,

Birmingham, AL, 35255, United States,

musa@uab.edu

1 - Micro-decision Patterns In Prescription Data: An Investigation Of

Local And Non-communicable Diseases Among Vertically

Differentiated Social

W. Art Chaovalitwongse, University of Arkansas, Fayetteville, AR,

Contact:

artchao@uark.edu,

Praowpan Tansitpong, Apirak

Hoonlor

This study explores electronic healthcare database in defining decision patterns in

prescribed medicines among government-subsidized benefit schemes in Thailand.

The analysis focuses on three major non-communicable diseases (diabetes, can-

cer, and cardiovascular) and three local diseases located in inpatient and outpa-

tient database. The study separates uniform prescription patterns in all three

schemes from non-uniform patterns and predicts brand and amount of dosage to

be prescribed to other diseases. The findings also suggest prescription priority in

medicine inventory control.

2 - Minimizing Radiology Error By Improving Staff Scheduling

Mahdi Nasereddin, Penn State- Berks, Tulpehocken Road, P.O. Box

7009, Reading, PA, 19610-6009, United States,

mxn16@psu.edu

,

Michael Bartolacci, Michael Bruno

Errors are sometimes made when reading radiology charts. A 2001 study reported

that depending on the area, the radiology error rate is between 2 - 20%. A team

of researchers at the Penn State University is currently studying how to minimize

radiology error rate. In this study, the relationship between under-staffing and

radiology errors is being investigated.

3 - Evaluating Policy Options For Improving Access To Dental Care

For Children In Georgia

Benjamin Johnson, Georgia Institute of Technology,

3245 Wellbrook Drive, Loganville, GA, 30052, United States,

benjohnson@gatech.edu

, Nicoleta Serban, Paul Griffin,

Susan Griffin

Policies regulating dental providers differ by state. Policies in Georgia are

compared to similar policies in other states to estimate the impact of each policy

on access to dental care. Policy changes are then evaluated to show the impact a

new policy could have on improving access to children in Georgia.

4 - Obesity In Africa: The Ultimate Black Belt Region Bursting

At The Seams

Philip F. Musa, Associate Professor and Programs Director, The

University of Alabama at Birmingham (UAB), P. O. Box 55544,

Birmingham, AL, 35255, United States,

musa@uab.edu

What are the root causes of obesity as a Public Health epidemic across Africa? We

present comparisons of demographics of those most predisposed to this precursor

to chronic comorbidities in developed countries such as the United States and the

least developed regions such as Sub-Saharan Africa. It was only fairly recently

that mortality rates due to chronic diseases surpassed those due to infectious

diseases in industrialized countries. While that has not yet occurred in Africa,

there is evidence that the burden due to chronic diseases associated with obesity

may soon eclipse those affiliated with infectious diseases. Public Health

interventions are suggested in this paper.

WC81

Broadway F- Omni

Opt, Integer Programming I

Contributed Session

Chair: Vishnu Vijayaraghavan, Texas A&M University, 400 Nagle Street,

College Station, TX, 77840, United States,

vishnunitr@tamu.edu

1 - A Branch-and-cut Algorithm Using Two-period Relaxations For

Big-bucket Lot-sizing Problems

Kerem Akartunali, Senior Lecturer, Strathclyde Business School,

Dept. of Management Science, University of Strathclyde, Glasgow,

G4 0GE, United Kingdom,

kerem.akartunali@strath.ac.uk

,

Mahdi Doostmohammadi, Ioannis Fragkos

We study the polyhedral structure of the two-period subproblem proposed by

Akartunali et al. (2016). Based on two relaxations of the subproblem, we propose

new families of valid inequalities and present facet-defining conditions. These

inequalities are lifted to the original space of the two-period subproblem, and

they also inspire the derivation of a new family of inequalities defined in the

original space. We exploit the structural similarities of the different families in

order to design an efficient separation algorithm, and embed it in a modern

branch-and-cut solver.

2 - Prescriptive Analytics To Improve E-warehouse Operations

Fatma Gzara, Associate Professor, University of Waterloo,

200 University Avenue W, Waterloo, ON, N2V 2N1, Canada,

fgzara@uwaterloo.ca

We use data for an e-commerce warehouse characterized with high order

volumes, significant seasonality, and a large number of SKUs. Based on extensive

descriptive data analysis, the packing operation is identified as a major cause for

long order completion times. We develop an optimization model and solution

methods based on decomposition and heuristics to optimize order packing. We

validate our results using industry data.

3 - Finding Optimal Solutions For Emergency Evacuation By A

Dynamic Programming Approach Based On State-space-time

Network Representation

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

United States,

leibu04168@gmail.com

, Feng Wang, Xuesong Zhou

Based on a representation of state-space-time network, a formulation is proposed

to optimize dynamic vehicle routes strategy in an emergency evacuation. The

proposed integer linear programming formulation could effectively build the

modeling representation of time status, evacuation demand, node capacity and

traffic volume change constraints through a multi-dimensional network with an

objective function to minimize total travel cost of visiting all nodes. Bellman-

Held-Karp algorithm working as a dynamic programming algorithm is utilized to

solve the problem. Two scale levels of networks in Mississippi State are tested

using the model and algorithm proposed to verify the effectiveness.

4 - A Modified Cutting Plane Algorithm For Inverse Mixed Integer

Linear Programming Problems

Vishnu Vijayaraghavan, Texas A&M University, 400 Nagle Street,

College Station, TX, 77840, United States,

vishnunitr@tamu.edu,

Kiavash Kianfar, Andrew J Schaefer

Given a feasible solution to an optimization problem, the purpose of an inverse

optimization problem is to minimally perturb the cost vector to make this feasible

solution an optimal one. Inverse optimization for mixed integer programming is

particularly challenging and previously a cutting plane algorithm has been

proposed. In this paper we present a modification of this algorithm which

significantly reduces the number of iterations, and hence run-time, until

termination.

WC80