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INFORMS Nashville – 2016

84

SC43

208A-MCC

Spatial Risk and Decision Analysis

Sponsored: Decision Analysis

Sponsored Session

Chair: Gilberto Montibeller, Loughborough University, Loughborough,

United Kingdom,

g.montibeller@lboro.ac.uk

1 - Spatial Risk Analysis In Emergency Management

Nikolaos Argyris, Loughborough University, Loughborough,

United Kingdom,

n.argyris@lboro.ac.uk,

Simon French

In any emergency, there is a great deal of uncertainty, often geographical

or spatio-temporal uncertainty. For instance, an industrial accident may lead to a

plume of contamination, putting populations at risk downwind. The path of a

hurricane provides another example that is of obvious concern to emergency

managers. We consider how analysts can communicate spatio-temporal

uncertainty to those handling the crisis. We review the somewhat limited

literature on the representation of spatial uncertainty on maps. We note that

many cognitive issues arise and that the potential for confusion is high. We then

make some suggestions based upon the idea of presenting multiple scenarios.

2 - Spatial Preference Functions For Risk Analysis

Jay Simon, American University,

jaysimon@american.edu

,

L Robin Keller

When outcomes are defined over a geographic region, measures of spatial risk

regarding these outcomes can be more complex than traditional measures of risk.

One of the main challenges is the need for a cardinal preference function that

incorporates the spatial nature of the outcomes. We explore preference conditions

that will yield the existence of spatial measurable value and utility functions, and

discuss their application to spatial risk analysis.

3 - Multi-criteria Spatial Risk Analysis For Resource

Allocation Decisions

Gilberto Montibeller, Full Professor of Management Science,

Loughborough University, Loughborough University,

United Kingdom,

g.montibeller@lboro.ac.uk

, Valentina Ferretti

There is a broad literature on spatial multi-criteria evaluation in the

environmental domain and some attempts of conducting risk analysis in this

context. Most of these attempts neither employ a proper decision analytical

framework nor provide a clear conceptualization for allocating resource on

mitigating actions. To address these weaknesses we conceptualize a multi-criteria

spatial risk analysis assessment, which may support spatial decision-making

processes. The framework employs expected multi-attribute utility and portfolio

decision analysis concepts in a spatial context. A case study on flooding

evaluation and defense building illustrates its application in practice.

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208B-MCC

Modeling of Uncertainty and Preference in

Decision Analysis

Sponsored: Decision Analysis

Sponsored Session

Chair: Christopher Hadlock, Austin, TX, United States,

cchadlock@gmail.com

Co-Chair: Robert Hammond, Chevron, Houston, TX, United States,

robertkh@gmail.com

1 - Johnson Quantile-parameterized Distributions

Christopher Hadlock, The University of Texas at Austin,

cchadlock@gmail.com,

J. Eric Bickel

It is common practice in decision analysis to elicit quantiles of continuous

uncertainties, and then fit a continuous probability distribution to the

corresponding probability-quantile pairs. This process is inconvenient because it

requires access to a curve-fitting process, and the best-fit distribution will often

not honor the assessed points. By strategically extending the Johnson Distribution

System, we design the new J-QPD distribution system, which is directly

parameterized by and honors any symmetric percentile triplet of low-base-high

assessments in conjunction with known support bounds, eliminating the need to

apply a fit procedure.

2 - The Metalog Distributions

Thomas Keelin, Keelin Reeds Partners, 770 Menlo Avenue,

Suite 230, Menlo Park, CA, 94025, United States,

tomk@keelinreeds.com

The metalog distributions constitute a new system of continuous univariate

probability distributions designed for flexibility, simplicity, and ease of use. The

system includes quantile-parameterized unbounded, semi-bounded, and bounded

distributions, each of which offers shape flexibility that compares favorably with

Pearson distributions and others. Applications in fish biology and hydrology show

how metalogs enable unprecedented insight into CDF data. A decision analysis

application shows metalogs aided a decision that would have been made wrongly

based on traditional discrete methods.

3 - Reexamining The Viability Of Scoring Rules

Zachary Smith, The University of Texas at Austin,

zack.smith@utexas.edu,

J. Eric Bickel

There are a number of widely used proper scoring rules used to elicit and rank

expert opinions. However, not all rules have the property of being additive, in the

sense that the score for marginal distributions and joint distributions are

comparable. Scoring rules without this property are sensitive to the presentation

of information as well as the information itself. We characterize scoring rules that

are additive, and consider practical implications for some commonly-used rules.

SC45

209A-MCC

Panel: Systemic Risk Issues in Counterparty Risk and

Central Clearing

Invited: Risk and Compliance

Invited Session

Moderator: Agostino Capponi, Columbia University, 500 West 120th

street, New York, NY, 10027, United States,

ac3827@columbia.edu

1 - Panel on Systemic Risk Issues In Counterparty Risk And

Central Clearing

Agostino Capponi, Columbia University,

ac3827@columbia.edu

The panel is formed by six leading experts in the area of systemic risk and central

clearing counterparties. The discussion will be centered on the economics of

clearinghouses and their role in promoting financial stability. Pro and cons of

central clearing will be highlighted and possible unintended consequences will be

discussed.

2 - Panelist

John Birge, Chicago Booth School of Business,

jbirge@chicagobooth.edu

3 - Panelist

Akhtarur Siddique, Office of Comptroller of Currency,

Akhtarur.Siddique@occ.treas.gov

SC46

209B-MCC

Dynamic Pricing with Substitution, Learning and

Reference Price Effects

Sponsored: Revenue Management & Pricing

Sponsored Session

Chair: Candace Arai Yano, University of California-Berkeley, IEOR

Dept. and Haas School of Business, Berkeley, CA, 94720, United States,

yano@ieor.berkeley.edu

1 - Optimal Use And Replenishment Of Substitutable Raw Materials

In Non-Stationary Capacitated Systems With Dynamic Price

Izak Duenyas, University of Michigan-Ann Arbor,

duenyas@umich.edu

We consider a make-to-order setting where a firm can use either of two kinds of

materials (or their mixture) to produce an end product using a shared production

line with stochastic capacity. The materials are substitutable but one has a higher

conversion rate and the other is cheaper, and their availability is uncertain. We

show that a Use-down-to/Balancing Production Policy and modified Order-up-to

Ordering Policy is optimal. Although the optimal policy is hard to compute using

brute-force due to curse of dimensionality, we use its structure to develop an

algorithm that solves for it efficiently. We also conduct sensitivity analysis of the

optimal policy and find counter intuitive results.

2 - A Squared-coefficient-of-variation Rule For Learning And Earning

N. Bora Keskin, Duke University, Durham, NC, United States,

bora.keskin@duke.edu

Consider a price-setting firm that sells products over a continuous time horizon.

The firm is uncertain about the sensitivity of demand to price changes and

updates its prior belief on an unobservable sensitivity parameter by observing

demand responses. We derive and solve a PDE to show how the value of learning

should be projected onto prices in an optimal fashion.

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