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SC11<br />

4 - The Spread Versus the Chromatic Number of a Graph<br />

Lima Leonardo, Professor, CEFET-RJ, Rio de Janeiro, Brazil,<br />

leolima.geos@gmail.com, Nair Abreu, Aroldo Oliveira<br />

Let G be a connected graph with n vertices. The spread of G is the spread of its<br />

adjacency matrix A(G) and it is defined as the difference between the largest and<br />

the smallest eigenvalues of A(G). The chromatic number, a known graph invariant,<br />

is the minimum number of colors needed to color the vertices of a graph such that<br />

no two adjacent vertices have the same color. For several classes of graphs, we<br />

prove that the chromatic number is a lower bound to the spread.<br />

■ SC11<br />

Aula 362- Third Floor<br />

New Developments in Algorithms and Software<br />

Cluster: Nonlinear Optimization<br />

Invited Session<br />

Chair: Ernesto G. Birgin, Associate Professor, Universidade de São Paulo,<br />

Rua do Matao, 1010, Cidade Universitária, São Paulo, SP, 05508-090,<br />

Brazil, egbirgin@ime.usp.br<br />

1 - LRAMBO - Efficient NLP Solving<br />

Torsten Bosse, Humboldt Universität zu Berlin, Unter den Linden 6,<br />

Berlin, 10099, Germany, bosse@math.hu-berlin.de,<br />

Andreas Griewank<br />

In this talk we present the NLP-solver ‘LRAMBO’ and the underlying theory that is<br />

based on a total quasi-Newton method exploiting the benefits of Algorithmic<br />

Differentiation. A highly efficient step computation is guaranteed by an<br />

approximation of the active constraint Jacobian and a hot-start for the factorized<br />

KKT-system in terms of low-rank updating. For large scale optimization we propose<br />

a limited memory implementation with compact storage for the approximating<br />

Hessian.<br />

2 - Optimization Tools in MATLAB<br />

Marcelo Marazzi, MathWorks, 3 Apple Hill Dr, Natick, MA, 02138,<br />

United States of America, marazzi@gmail.com<br />

We describe optimization functions that extend the MATLAB technical computing<br />

environment. These functions address a number of common optimization problems<br />

such as nonlinear, linear, quadratic, single- and multi-objective. Methods<br />

implemented in these functions are varied and include gradient-based, derivativefree,<br />

deterministic, and non-deterministic algorithms. We overview these functions<br />

and other features such as parallel computing, MATLAB compiler, and a graphical<br />

user interface.<br />

3 - Comparing Box-constrained Minimization Solvers<br />

Ernesto G. Birgin, Associate Professor, Universidade de São Paulo,<br />

Rua do Matao, 1010, Cidade Universitária, São Paulo, SP, 05508-090,<br />

Brazil, egbirgin@ime.usp.br, Jan Marcel Gentil<br />

Box-constrained minimization is a dynamic area of practical optimization. In this<br />

work, a comparison between some classical and recently developed methods is<br />

presented. The comparison includes ASA (W. Hager and H. Zhang, A New Active<br />

Set Algorithm for Box Constrained Optimization, SIOPT 17, 526-557, 2006) and<br />

GENCAN (E.G. Birgin and J.M. Martínez, “Large-scale active-set box-constrained<br />

optimization method with spectral projected gradientsCOAP 23, 101-125, 2002),<br />

among others.<br />

4 - Simulation and Optimization of 2010 FIFA World Cup<br />

José Mario Martínez, Universidade Estadual de Campinas -<br />

UNICAMP, IMECC, CP6065, Campinas SP, 13081-970, Brazil,<br />

martinez@ime.unicamp.br, Julián Martínez<br />

We developed a simulation model for the 2010 FIFA World Cup. The parameters of<br />

the model are the coefficients of a function that relates a ranking of the participants<br />

with the probability of different results of each game. The optimization process<br />

consists of fitting these parameters with respect to overall beliefs of the user. Given<br />

the best fit one can deduce probabilistic information that should be compatible with<br />

the user prognostics.<br />

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

38<br />

■ SC12<br />

Aula 363- Third Floor<br />

Supply Chain Management II<br />

Contributed Session<br />

Chair: Kevin Li, PhD, Associate Professor, University of Windsor, Odette<br />

School of Business, Windsor, ON, N9B 3P4, Canada, kwli@uwindsor.ca<br />

1 - Bayesian Dynamic Models in Supply Chain Forecasting<br />

Victor Aguirre, Professor, ITAM, Rio Hondo # 1, Mexico, DF, 01080,<br />

Mexico, aguirre@itam.mx, Gabriel Cervantes<br />

Supply chain management depends heavily in the timely generation of forecasts<br />

that take into account information provided by different actors of the chain.<br />

Bayesian models provides great flexibility to incorporate prior information on the<br />

generation of forecasts. In particular we explore the approach of some Dynamic<br />

Linear Models to forecast sales series. Comparison of these procedures with other<br />

commonly used methods of forecasting shows a strong superiority of the Bayesian<br />

approach.<br />

2 - Impacts of RFID on Customer Service<br />

Pedro Reyes, Baylor University, One Bear Place #98006, Waco, TX,<br />

76798, United States of America, pedro_reyes@baylor.edu,<br />

Patrick Jaska, Gregory Heim<br />

Since the big bang of RFID, the attention has primarily been given to the retail<br />

supply chain and focused on improving performance. Yet, little attention has been<br />

given to how RFID impacts service operations. We study the RFID applications used<br />

to enhance service operations focusing on the service delivery system. We report on<br />

field studies of RFID initiatives at five different service firms and examined<br />

practitioner case studies of RFID deployments.<br />

3 - Decision Support Model for Information Systems Integration in<br />

Supply Chains<br />

Antonio Diaz, Professor, Polytechnic Institute J. A. Echeverria, Ave.<br />

114 # 11901, Marianao, Havana, Cuba, diaztony@tesla.cujae.edu.cu,<br />

Dania Perez<br />

The integration of information systems in supply chains is a problem that is still far<br />

from solved because the selection complexity of a combination of technologies to<br />

support the chain performance. This paper proposes an approach for a decision<br />

support model, based on compensatory fuzzy logic, to facilitate the selection of<br />

technologies to be used for integrating the information systems in a supply chain.<br />

4 - A Game-theoretic Analysis on Social Responsibility Conduct in<br />

Two-echelon Supply Chains<br />

Kevin Li, PhD, Associate Professor, University of Windsor, Odette<br />

School of Business, Windsor, ON, N9B 3P4, Canada,<br />

kwli@uwindsor.ca, Debing Ni<br />

This article investigates how supply chain members interact with each other with<br />

respect to corporate social responsibility (CSR) behavior and what are the impacts of<br />

exogenous factors on this interaction. This research puts the interaction between the<br />

supply chain partners in the context of strategic games. A game-theoretic analysis is<br />

conducted and equilibriums are expected to be obtained for both sequential-move<br />

and simultaneous-move game settings.<br />

■ SC13<br />

Aula 364- Third Floor<br />

Supply Chain - Optimization II<br />

Contributed Session<br />

Chair: Navneet Vidyarthi, Assistant Professor, John Molson School of<br />

Business, Decision Sciences and MIS, 1455 De Maisonneuve West,<br />

Montréal, H3G1M8, Canada, navneetv@jmsb.concordia.ca<br />

1 - Support Decisions Models in the Oils and Fats Industry on<br />

Emerging Market Economies<br />

Maria Ximen Sierra, Engineer, Universidad de la Sabana,<br />

Puente del Común, Chía, Chia, 140013, Colombia,<br />

maria.sierra3@unisabana.edu.co, Luz Andrea Torres, Julian Madero,<br />

Edgar Gutierrez<br />

Its presents the mathematical modeling for supply chain of oil and fat industry,<br />

minimizing logistics distribution costs of final products. This model includes<br />

distribution centers and local sales. The costs involved are transportation, inventory<br />

and administration. The restrictions are: capacity of distribution centers and<br />

transportations, demand satisfaction and balance equations.

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