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MC05<br />

2 - A Cutting-plane Algorithm for the Slitherlink Puzzle<br />

Tony Hürlimann, Research Fellow, University of Fribourg, Perolles<br />

90, Fribourg, CH-1700, Switzerland, tony.huerlimann@unifr.ch<br />

This document presents a mathematical modeling approach to solve difficult<br />

Slitherlink puzzles. We show how such puzzles can be formulated as MIP models<br />

which then are solved using a Branch-and-Cut method. The method solves the<br />

puzzle by adding repeatedly valid integer cuts to a MIP model. It is show that this<br />

method is very efficient in solving difficult puzzles. An complete implementation in<br />

a mathematical modeling language is also presented.<br />

3 - Heuristics for Mixed Integer Nonlinear Programs and Their<br />

Implementation in Bonmin<br />

João Goncalves, IBM Research, 1101 Kitchawan Road, Yorktown<br />

Heights, NY, United States of America, jpgoncal@us.ibm.com,<br />

Pierre Bonami<br />

We show how several heuristics for finding feasible solutions of Mixed Integer<br />

Linear programs can be adapted to Mixed Integer Nonlinear programs (MINLPs) and<br />

describe their implementation in the open source solver Bonmin. We present<br />

computational results on a set of convex MINLP instances and show that they can<br />

help the branch-and-bound algorithm reduce the computational time to solve those<br />

instances.<br />

■ MC05<br />

Velez Sarfield- Second Floor<br />

Case Studies in Multiple Criteria Decision Aiding<br />

Cluster: Multicriteria Analysis and Optimization<br />

Invited Session<br />

Chair: Luiz F. Autran M. Gomes, Ibmec Business School, Av. Presidente<br />

Wilson, 118, Oficina 1110, Rio de Janeiro, Brazil, autran@ibmecrj.br<br />

1 - Using SMAA to Assess the Cost-effectiveness of Healthcare<br />

Interventions: A Case Study<br />

Dowe Postmus, University Medical Center Groningen, PO Pox<br />

30.001, Groningen, 9700 RB, Netherlands, d.postmus@epi.umcg.nl,<br />

Tommi Tervonen, Hans Hillege, Erik Buskens<br />

In cost-effectiveness analysis (CEA), competing healthcare interventions are<br />

evaluated in terms of their costs and effects. So-called cost effectiveness acceptability<br />

curves offer a useful way of representing decision uncertainty when there are two<br />

alternatives, but their interpretation becomes less clear when three or more<br />

alternatives are being considered. I will use a case study in heart failure to show<br />

how SMAA can be used as an improved method for representing decision<br />

uncertainty in CEA.<br />

2 - A Case Study on Municipal Economic Comparison in<br />

Sinaloa, Mexico<br />

Juan Carlos Leyva López, Universidad de Occidente,<br />

Blvd. Lola Beltran y Blvd Rolando Arjona, Culiacan, Mexico,<br />

jleyva@culiacan.udo.mx, Katia Paez, Edmundo Resenos<br />

In this paper, we present a real case study dealing with the comparison of municipal<br />

economic situations. To do so, we employ a multicriteria model to compare basic<br />

economic variables comprehensively. We present the problem situation and an<br />

appropriate problem formulation. Moreover, a detailed version of the multicriteria<br />

evaluation model is also presented.<br />

3 - The MACBETH Approach to Deal with Social Responsibility<br />

Concerns in Development Cooperation<br />

Ramiro Sanchez-Lopez, Researcher, CEG-IST, Technical University of<br />

Lisbon, c/ Doctor Esquerdo 126, Madrid, 28007, Spain,<br />

ramirosanchezl@gmail.com, Carlos Bana e Costa<br />

One topical question in the field of development cooperation how to appraise<br />

projects and programs from the perspective of social responsibility, articulating<br />

effectively what is known as cross-cutting issues. The difficulty found on the design<br />

of evaluation and monitoring models lies on the intangible and qualitative nature of<br />

those issues. We describe how the MACBETH socio-technical multicriteria approach<br />

was used for this purpose, in a rural development Programme in Bolivia.<br />

4 - Electronic Payment – Alternatives Evaluation using a Multicriteria<br />

Support Decision<br />

Carlos Gomes, Ibmec Business School, Rio de Janeiro, Brazil,<br />

cgomes@ibmecrj.br, Thiago Qualharini<br />

This paper presents some of the electronic payments available in Brazil and in the<br />

world. This study includes some of the new technologies and concepts of current<br />

means of payment in particular the credit and debit cards. The results allowed<br />

ordering technological alternatives that can attend the expanded use of credit card<br />

market, and the world. Three technological alternatives were compared by fourteen<br />

criteria. The work is based on a real case study in Brazil carried on through MCDA<br />

Thor, a decision support system that implements algorithms based on the concepts<br />

of electre family developed in Brazil. Fuzzy Set and Rough Set was used to quantify<br />

the imprecision and uncertainty. The work is based on a real case study in Brazil.<br />

<strong>ALIO</strong> / INFORMS International – 2010<br />

62<br />

■ MC06<br />

Aula 352- Third Floor<br />

Financial Engineering<br />

Contributed Session<br />

Chair: Suleyman Ozekici, Professor, Koç University, Department of<br />

Industrial Engineering, Istanbul, Turkey, sozekici@ku.edu.tr<br />

1 - Supply Chain Configuration Under Uncertainty- An Approach using<br />

Real Options<br />

Victor Jiménez, Universidad del Valle, Calle 13 # 100-00, Cali,<br />

Colombia, victorj@colombia.com, Diego Fernando Manotas<br />

One of the most important decisions in logistics is the configuration of the supply<br />

network, which mainly considers variables related to the flow of products, but those<br />

should also be considered depending on the market and can influence a large scale<br />

in the expected results. This article presents a methodology for network design in<br />

supply chains, based on real options theory including the uncertainty associated<br />

with variables such as demand, exchange rates and interest rates.<br />

2 - Optimal Portfolio Allocations with Hedge Funds<br />

Jerome Detemple, Professor, Boston University, 595 Commonwealth<br />

Avenue, Boston, MA, 02215, United States of America,<br />

detemple@bu.edu, Marcel Rindisbacher, Rene Garcia<br />

This paper analyzes optimal investment decisions, in the presence of non-redundant<br />

hedge funds, for investors with constant relative risk aversion. Factor regression<br />

models with option-like risk factors and no-arbitrage principles are used to identify<br />

and estimate the market price of hedge fund risk. The paper examines the optimal<br />

portfolio behavior and the impact of timing and selection abilities.<br />

3 - Can Oil Prices Help Estimate Commodity Futures Prices?<br />

The Cases of Copper and Silver<br />

Gonzalo Cortazar, Pontificia Universidad Católica de Chile,<br />

Vicuna Mackenna 4860, Santiago, Chile, gcortaza@ing.puc.cl,<br />

Francisco Eterovic<br />

We use prices of long term oil futures contracts to estimate copper and silver prices.<br />

We show that the Cortazar et al (2008) multi-commodity model applied to oilcopper<br />

and oil-silver which have low correlation seems not to be effective. We then<br />

propose a modified multi-commodity model that uses the non-stationary long term<br />

process of oil to help estimate long term copper and silver futures prices, achieving a<br />

much better fit than using available individual or multi-commodity models.<br />

4 - Monte Carlo Simulation as an Aid to Determining the Value at Risk:<br />

Applications to a Peruvian Stock Market’s Portfolio<br />

Christian Cornejo, Pontificia Universidad Católica Del Perú, Av.<br />

Universitaria 1801. San Miguel, Lima, Peru, cscornejo@pucp.edu.pe,<br />

Eduardo Carbajal<br />

The applied study of risk factors define a portfolio, and from a representative sample<br />

of these, specifies its randomized to outline, from a large number of tests, a response<br />

to how they affect the portfolio.<br />

5 - Portfolio Selection with Random Risk Tolerance<br />

Suleyman Ozekici, Professor, Koç University, Department of<br />

Industrial Engineering, Istanbul, Turkey, sozekici@ku.edu.tr,<br />

Turan Bulmus<br />

We analyze a single-period portfolio selection problem where the investor<br />

maximizes the expected utility of the terminal wealth. The utility function is<br />

exponential, but the risk tolerance is random. It is well-known that an investor is<br />

memoryless in wealth for exponential utility functions with a known risk tolerance.<br />

However, we show that this is no longer true if risk tolerance is random and obtain<br />

characterizations on the structure of the optimal policy.<br />

■ MC07<br />

Aula 353- Third Floor<br />

Inventory Management<br />

Contributed Session<br />

Chair: Joaquin Sicilia, Professor, Universidad de La Laguna, Fac. de<br />

Matematicas, Dpto. Estadistica, La Laguna, 38271, Spain, jsicilia@ull.es<br />

1 - An Algorithm Based on Linear Programming to Solve the<br />

Constrained Joint Replenishment Problem<br />

Jimmy Alexander Carvajal Beltrán, Universidad De Los Andes,<br />

Carrera 1 N∞ 18A 10 oficina ml-752, Bogotá, Colombia,<br />

ja.carvajal911@uniandes.edu.co, Ciro Alberto Amaya<br />

This paper examines the joint replenishment problem under deterministic demand<br />

and resource constraints(C-JRP). This problem is solved using a method based on<br />

linear programming; a comparative analysis highlighting the efficiency of the<br />

proposed process in relation to existing algorithms in literature.

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