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INFORMS Nashville – 2016

317

3 - Resource Allocation Decisions With Deep Uncertainty

Cameron MacKenzie, Iowa State University,

camacken@iastate.edu

Mathematical models to help public policy decision makers often have a great

amount of uncertainty, sometimes called deep uncertainty. Decision makers may

also be skeptical about solely relying on model recommendations. A solution to

this deep uncertainty and a decision maker’s skepticism is for the model output to

consist of ranges or intervals rather than point solutions. This presentation will

offer a method for identifying intervals for resource allocation models in which

every solution within the interval differs from the optimal solution by a

predetermined value.

4 - Economic Contagion And The Role Of Beliefs: Findings From A

Borrower-lender Game

Jonathan William Welburn, University of Wisconsin - Madison,

welburn@wisc.edu

We present a within-period sequential-move game with multiple borrower

countries and a single common lender to model cross-country contagion. We

discuss the role of beliefs, modeled through Bayesian updating, and determine

equilibrium solutions using nonlinear optimization. The model is calibrated to the

2010 Eurozone crisis, but sensitivity analysis is used to identify conditions under

for contagion. Results demonstrate that what appears to be contagion may be the

result of a crisis of confidence. Findings and their implications for decision making

and policy are discussed.

TC44

208B-MCC

Decisions, Sensitivity and Applications

Sponsored: Decision Analysis

Sponsored Session

Chair: Emanuele Borgonovo, Bocconi University, Via Roentgen 1,

Milano, 20833, Italy,

emanuele.borgonovo@unibocconi.it

1 - Strength Of Preferences In Repeated Prospects

Alessandra Cillo, Assistant Professor, Bocconi University, Milan,

20146, Italy,

alessandra.cillo@unibocconi.it

, Enrico G De Giorgi

Experimental studies have found that people reject a single lottery but accept a

repeated play of the same lottery. Other studies have also found that the higher

acceptance rates for the repeated play when the overall distribution is displayed

depends on the type of prospect. These results have critical managerial relevance,

but they are based on acceptance rates. The paper provides a theoretical

framework, which allows quantifying the strength of preferences in repeated

prospects. We provide an experiment to test possible editing processes in the

context of repeated prospects.

2 - Tolerance Sensitivity And Maximum Regret In

Linear Programming

Richard E. Wendell, University of Pittsburgh, Pittsburgh, PA,

15260, United States,

wendell@katz.pitt.edu

,

Emanuele Borgonovo

Within a tolerance framework for linear programming, we present a new

approach for calculating optimal coefficient sets. The approach solves an

otherwise NP hard problem and, moreover, allows us to streamline the

computation of regret functions.

3 - Randomized Differential Sensitivity

Sumeda Siriwardena, Bocconi University,

sumeda.siriwardena@phd.unibocconi.it,

Emanuele Borgonovo

Sensitivity analysis is an integral part of the decision analysis process. In several

situations, analysts have not only the dataset of realizations of the model output

but also of the corresponding partial derivatives. We introduce a new method

based on the randomization of the differential importance measure. This

sensitivity indicator does not require independence and possesses the additivity

property, which makes the calculation of joint sensitivities seamless. We study

numerical estimation and obtain the expression of the convergence rate.

Managerial insights are discussed in detail.

4 - Estimating Strategic Impacts Of Foreclosed Housing

Redevelopment Using Spatial Analysis

Michael Johnson, University of Massachusetts Boston, MA,

michael.johnson@umb.edu

Community-based organizations engaged in foreclosure response wish to quantify

the relative value of housing units for redevelopment. We measure the ‘strategic

value’ of property acquisition candidates based on proximity to site-specific

neighborhood amenities and disamenities, given the relative importance of that

proximity to CDC organizational and community objectives. We show that

strategic values can differ in systematic ways depending on the types of amenities

and disamenities identified as relevant for acquisition decisions, the relative

importance assigned to those amenities and disamenities, and the utility

maximization objectives of the organization.

TC45

209A-MCC

Multi-Objective Optimization Via Simulation

Sponsored: Simulation

Sponsored Session

Chair: Susan R Hunter, Purdue University, West Lafayette, IN, United

States,

susanhunter@purdue.edu

Co-Chair: Enlu Zhou, Georgia Institute of Technology, na, Atlanta, GA,

na, United States,

enlu.zhou@isye.gatech.edu

1 - A Partition-based Random Search For Stochastic Multi-objective

Optimization Via Simulation

Loo Hay Lee, National University of Singapore, Singapore,

Singapore,

iseleelh@nus.edu.sg,

Weizhi Liu, Siyang Gao

We proposed two parallel partition-based random search methods to solve the

stochastic multi-objective optimization via simulation considering Pareto

optimality for constrained and unconstrained case. The idea is to explore the

whole feasible region and exploit on current most promising regions in the same

time. Partition methods are used to shrink current most promising regions

iteratively, and simulation allocation rules are adopted to decrease the noise. Both

methods are proven to converge to the global Pareto set with probability one.

Numerical experiments are conducted to demonstrate the effectiveness and

robustness of the proposed algorithm compared to well-known methods.

2 - An Assessment Of Model Based Methods In Multi-objective

Optimization

Joshua Hale, Georgia Institute of Technology, 755 Ferst Drive, NW,

Atlanta, GA, Atlanta, GA, United States,

jhale32@gatech.edu,

Helin Zhu, Enlu Zhou

We propose domination measure as a new concept to measure the quality of

solutions in multi-objective optimization. The domination measure of a solution

can be intuitively interpreted as the size of the portion of the decision space that

dominates that solution. We reformulate the multi-objective problem to a single-

objective stochastic problem and solve it using a model-based approach. The

numerical experiment shows that our proposed algorithm is effective at

approximating the optimal Pareto set and is competitive with some previously

proposed methods.

3 - On Multi-objective Ranking And Selection Methods

Susan Hunter, Purdue University,

susanhunter@purdue.edu

, Guy

Feldman, Raghu Pasupathy

Consider the context of selecting Pareto-optimal systems from a finite set of

systems based on multiple stochastic objectives. We seek a characterization of the

asymptotically optimal sample allocation that maximizes the rate of decay of the

probability of misclassification, i.e., the probability a Pareto system is falsely

estimated as non-Pareto, or a non-Pareto system is falsely estimated as Pareto. We

discuss recent advances in solving this problem.

4 - Precision Irrigation System Optimization Using Subsurface Water

Retention Technology For Multiple Conflicting Objectives

Kalyanmoy Deb, Michigan State University,

kdeb@egr.msu.edu

Water is precious and recent efforts to achieve precision irrigation with minimum

use of water through subsurface water retention technology (SWRT) are getting

popular. In this study, we have linked a water permeation simulation process with

a multi-objective optimization algorithm to obtain optimized solutions involving

shape and location of subsurface impermeable membranes and simultaneously

obtain optimal surface water supply. The procedure is pragmatic and is

customized for specific soil and crop combination and average precipitation level.

TC45