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Technical Sessions – Monday July 11

Technical Sessions – Monday July 11

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1 - Measuring Inconsistency of Pair-wise Comparison Matrix<br />

with Fuzzy Elements<br />

Petr Korviny, Center of Information Technology, Silesian<br />

University in Opava, Univerzitni Namesti 1934/3, 73340,<br />

Karvina, Czech Republic, petr.korviny@slu.cz, Jaroslav Ramik<br />

In this paper, we deal with inconsistency of pair-wise comparison matrix with<br />

triangular fuzzy elements. Inconsistency is based on the distance of the matrix<br />

to a special matrix measured by a particular metric. In the other approach<br />

we use a fuzzy pair-wise comparison matrix as a way of specifying fuzzy restrictions<br />

on the possible values of the ratio judgments. A specific consistency<br />

index corresponding to the degree of satisfaction is defined. Simple illustrating<br />

examples for comparing the new index with other approaches are presented.<br />

2 - Aggregation of Generalized Concave Functions in<br />

Fuzzy Optimization and Decision Making<br />

Jaroslav Ramik, Dept. of Math. Methods in Economics, Silesian<br />

University, School of Business, University Sq. 1934/3, 73340,<br />

Karvina, Czech Republic, ramik@opf.slu.cz, Milan Vlach<br />

In this paper aggregation functions and their basic properties are defined. The<br />

averaging aggregation operators are defined and some interesting properties are<br />

derived. Moreover, we have extended concave and quasiconcave functions introducing<br />

t-quasiconcave and upper and lower starshaped functions. The main<br />

results concerning aggregation of generalized concave functions are presented<br />

and some extremal properties of compromise decisions by adopting aggregation<br />

operators are derived and discussed.<br />

3 - Fuzzy Games Against Nature<br />

Josef Vícha, Mathematical Institute in Opava, Silesian University<br />

in Opava, Na rybničku 1, 74601, Opava, Czech Republic,<br />

Josef.Vicha@math.slu.cz<br />

It has been shown that a fuzzy two person games can be solved by optimistic<br />

and pessimistic approach. A two person game with the first player as the decision<br />

maker and second as the Nature is very special type of the zero-sum<br />

person games. Solving these games can be used for the decision making in<br />

finance, crisis management and other disciplines. In this paper we introduce<br />

an approach based on optimistic and pessimistic approach to this problem. An<br />

illustrative example is presented and discussed.<br />

4 - A Residential Consumer Payment Capability Index<br />

Based on Fuzzy Logic Inference<br />

Fernando Luiz Cyrino Oliveira, Pontifical Catholic University of<br />

Rio de Janeiro, Brazil, fcyrino@ele.puc-rio.br, Reinaldo Souza<br />

The lack of payment of electricity bills has been one of the main problems<br />

faced by the distributing utilities of electrical energy in Brazil. It is therefore<br />

essential that the utilities are provided by a tool to assess the ability to advance<br />

payment by the consumer units in order to formulate strategies to mitigate the<br />

lack of payment. This paper presents an approach based on Fuzzy Logic to<br />

develop an index that reflects this real capability of payment for any individual<br />

consumer unit or any kind of geographical aggregation, allowing, this way, a<br />

graphical display with the help of GIS tools.<br />

� FA-16<br />

Friday, 9:00-10:30<br />

Meeting Room 209<br />

OR for Health Policy Decisions II<br />

Stream: Health Care Applications<br />

Invited session<br />

Chair: James Benneyan, Center for Health Organization<br />

Transformation, Northeastern University, 334 Snell Engineering<br />

Center, 360 Huntington Avenue, 02<strong>11</strong>5, Boston, MA, United States,<br />

benneyan@coe.neu.edu<br />

1 - Robust Dynamic Kidney Exchange<br />

Kristiaan Glorie, Econometric Institute, Erasmus University<br />

Rotterdam, Postbus 1738, 3000 DR, Rotterdam, Netherlands,<br />

glorie@ese.eur.nl<br />

Kidney exchanges have recently emerged as a way to alleviate the worldwide<br />

shortage of kidney donors. We study the centralized organization of kidney exchanges<br />

in a dynamic setting, where the timing of exchange is fixed but the arrival<br />

of patient-donor pairs is uncertain. Using robust optimization techniques,<br />

we derive optimal dynamic matching policies that are protected against this uncertainty.<br />

We make policy recommendations using simulations based on kidney<br />

exchange data from the US and the Netherlands.<br />

IFORS 20<strong>11</strong> - Melbourne FA-17<br />

2 - Specialty Care Service Location within the U.S. Veterans<br />

Health Administration<br />

James Benneyan, Center for Health Organization<br />

Transformation, Northeastern University, 334 Snell Engineering<br />

Center, 360 Huntington Avenue, 02<strong>11</strong>5, Boston, MA, United<br />

States, benneyan@coe.neu.edu, Seda Sinangil, Hande Musdal,<br />

Mehmet Ceyhan, Brian Shiner, Bradley Watts<br />

Several medical care location-allocation optimization models are developed to<br />

support macro capacity planning across geographic regions of the U.S. Veterans<br />

Affairs integrated service networks. Given the current U.S. healthcare<br />

reform debate, significant cost and access improvements are shown possible by<br />

simultaneous optimization of the locations and capacities of primary and tertiary<br />

specialty care services. Results, modeling issues, and ramifications are<br />

discussed. Correlated care needs, demand uncertainty, population trends, and<br />

telemedicine introduction are considered.<br />

3 - The Role of Air Travel in the Worldwide Spread of Vector<br />

Borne Diseases<br />

Travis Waller, University of Texas, 78712-0273, Austin, TX,<br />

United States, S.Travis.Waller@engr.utexas.edu, Lauren<br />

Gardner, David Fajardo, Sahotra Sarkar<br />

Increased passenger air traffic has lead to an increased risk of importation and<br />

establishment of vector-borne diseases, such as dengue and malaria. As such, it<br />

is critical to be able to identify the risk associated with air travel routes between<br />

vector-compatible environments. This problem requires modeling the interaction<br />

between three overlapping networks: a vector survivability network, a social<br />

network and an airport network. We study the interaction between these<br />

networks; in particular the role of the airport network in connecting the vectorsurvivability<br />

network.<br />

4 - Multivariate Discrete Statistical Models for Disease Occurrence<br />

Mulalo Annah Managa, Statistics Dept., UNISA, 15 Breekhout<br />

Street, Karenpark, P.O BOX 59035, Pretoria, South Africa,<br />

managma@unisa.ac.za<br />

Prevention and control of tuberculosis diseases and other sexually transmitted<br />

diseases (STDs), present complex public health challenges. Understanding the<br />

interconnection between diseases epidemics is crucial in guiding the best intervention<br />

and control strategies that are cost effective. These types of diseases are<br />

known to share similar risk associated with lower socio-economic status and<br />

sexual behaviour. This paper uses multivariate discrete distribution to model<br />

the three diseases outcomes. We also control for both subject specific factors,<br />

both observed and unobserved. In this way, we will be able to determine the<br />

relative importance of the modelled factors.<br />

� FA-17<br />

Friday, 9:00-10:30<br />

Meeting Room 214<br />

Investment Strategies and Valuation I<br />

Stream: Finance<br />

Invited session<br />

Chair: Thomas Burkhardt, Campus Koblenz, IfM, Universitaet<br />

Koblenz-Landau, Universitätsstr. 1, 56070, Koblenz, Germany,<br />

tburkha@uni-koblenz.de<br />

Chair: Heinz Eckart Klingelhöfer, Knopfstraße 1, 17489, Greifswald,<br />

Germany, hekling@web.de<br />

Chair: Ulla Hofmann, Institute for Management, University Koblenz,<br />

Universitätsstraße 1, 50670, Koblenz, Germany,<br />

uhofmann@uni-koblenz.de<br />

1 - Optimal Capital Growth with Convex Loss Penalties<br />

Leonard MacLean, School of Business Administration,<br />

Dalhousie University, 6100 University Avenue, B3H 3J5,<br />

Halifax, Nova Scotia, Canada, l.c.maclean@dal.ca, William<br />

Ziemba, Yonggan Zhao<br />

In capital growth under uncertainty, an investor must determine how much capital<br />

to invest in riskless and risky instruments at each point in time, with a<br />

focus on the trajectory of accumulated capital to a planning horizon. Assuming<br />

that prices are not affected by individual investments but rather aggregate investments,<br />

individual decisions are made based on the projected price process<br />

given the history of prices to date.<br />

<strong>11</strong>3

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