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SA04<br />

3 - Mathematical Models Implemented for the Propagation and<br />

Mitigation of the Avian Influenza Virus (H5N1) in Colombia<br />

Diana Ramirez, Scientific Director, Fundacion Centro de<br />

Investigacion en Modelacion Empresarial del Caribe, Carrera 53 No.<br />

79 - 315 L202, Barranquilla, Colombia, dramirez@fcimec.org<br />

Given the recent influenza pandemic outbreak, the World Health Organization has<br />

been even more worried about the strategies that the countries have been<br />

implementing in order to control the spread of the disease. Also, they have been<br />

alerting about the coming of a new pandemic outbreak of the avian influenza<br />

(H5N1) among humans, which is said to be even more dangerous. Mathematical<br />

models have been studied, for decades now, on the propagation of every influenza<br />

virus, yet each country presents its own reality. This research is based on the<br />

implementation of these models in Colombia, not only to model the propagation of<br />

the disease within the country but also for an optimal implementation of the control<br />

and mitigation strategies needed for a future outbreak of this disease.<br />

4 - Discrete Event Simulation to Determine when Performing a Breast<br />

Cancer Biopsy is Cost-effective<br />

John Jairo Rios Rodriguez, Universidad de los Andes, Cra 1 Este #<br />

19A-40 Ed. Mario Laserna, Bogotá, Colombia,<br />

joh-rios@uniandes.edu.co, Mario Castillo<br />

This work develops a Discrete Event Simulation model programmed in Arena® to<br />

evaluate the appropriate moment to perform a biopsy to women who are at risk of<br />

developing breast cancer. The model follows women’s disease progression and<br />

performs a cost-effectiveness analysis. Disease progression parameters were obtained<br />

from published data; only direct medical costs were considered and were based on<br />

local information.<br />

5 - A Tool for Management of the Patient-visit Network within a Chilean<br />

Public Health Service<br />

Mario Tarride, University of Santiago, Chile, Industrial Engineering<br />

Department, 3769, Ecuador Avenue, Santiago, Chile,<br />

mario.tarride@usach.cl, Oscar C. Vasquez, Julia Gonzalez,<br />

Tamara Riquelme, Gisel Lagos<br />

This paper presents a tool for management of the patient-visit network within a<br />

Chilean public health service based on the simulation of system. This is developed in<br />

Powersim Studio 2005, management requirements according to the Chilean’s Law<br />

are certificated and its validation performance is realized. Results show<br />

determination coefficients upper to 0.8 and average simulation time of 20 minutes.<br />

In addition, management scenarios to reduce the patient-visit queue are simulated<br />

and analyzed.<br />

■ SA04<br />

Aula 372- Third Floor<br />

OR Applications I<br />

Contributed Session<br />

Chair: Elias D. Niño, Professor, Universidad del Norte, KM5 Via Puerto<br />

Colombia, Barranquilla, Colombia, enino@uninorte.edu.co<br />

1 - Multiobjective Optimization Algorithm with Self-adaptation for<br />

Scheduling Problems<br />

Jaime Mora-Vargas, Head Graduate Program in Industrial<br />

Engineering, Tec de Monterrey, Carr. Lago de Guadalupe km 3.5,<br />

Col. Margarita Maza de Juárez, Atizapán de Zaragoza, 52926,<br />

Mexico, jmora@itesm.mx, Nestor Velasco-Bermeo,<br />

Miguel Gonzalez-Mendoza<br />

It is well known that the computational complexity of scheduling problems has<br />

been determined to be NP-hard and the a different scenario solution is a basic<br />

consideration in order to solve a problem with its most realistic modeling. Although<br />

this paper is limited to analyze a bi-objective objective function the results obtained<br />

show the effect a self-adaptation module has on the evolution and the improved<br />

results over a MOGA with a Local Search strategy implemented and a plain MOGA.<br />

2 - Optimization of Infomation Exchange in Distributed<br />

Decision Networks<br />

Hela Masri, Larodec Laboratory, Institut Superieur de Gestion,<br />

University of Tunis, 41 Rue de la Liberte, Le Bardo, 2000, Tunisia,<br />

masri_hela@yahoo.fr, Adel Guitouni, Saoussen Krichen<br />

A decision network is a set of interconnected nodes through heterogeneous edges.<br />

Nodes are information provider, information consumer or information relay. We<br />

propose a nonlinear integer mathematical program to optimize the multiple quickest<br />

paths between multiple nodes. Each edge is has a capacity, a transmission delay and<br />

a cost. The decision problem is to optimize information exchange. Solution include<br />

the quickest transmission paths and scheduling of the information transmission.<br />

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

22<br />

3 - A Mathematical Programming Model Applied to the Optimization of<br />

Cleaning Procedures in a Sunlight Collector Field<br />

Pedro L. González-R, PhD, Escuela Superior de Ingenieros.<br />

Universidad de Sevilla, C/Camino de los Descubrimientos, s/n,<br />

Sevilla, Spain, pedroluis@esi.us.es, David Canca<br />

Nowadays, renewable energy, and more specifically those based on solar energy, are<br />

a clear alternative to the fossil fuel energy. Many solar energy plants are opening<br />

throughout the world. Procedures for increasing these solar plants efficiency pass<br />

through an appropriate policy in cleaning and maintaining processes. However,<br />

these aspects are not usually taken into account in the actual design of plants. In<br />

this work a mathematical model is introduced in order to address this issue.<br />

4 - A New Metaheuristic Based on Deterministic Finite Automaton for<br />

Multi-objective Optimization of Combinatorial Problems<br />

Elias D. Niño, Professor, Universidad del Norte, KM5 Via Puerto<br />

Colombia, Barranquilla, Colombia, enino@uninorte.edu.co,<br />

Carlos J. Ardila, Carlos Paternina-Arboleda<br />

In this paper we state a metaheuristic based on Deterministic Finite Automaton<br />

(DFA) for multi-objective optimization of combinatorial problems. First, we propose<br />

a new DFA based on Swapping (DFAS). DFAS allows the representation of feasible<br />

solutions space for combinatorial problems. Last, we define an algorithm that works<br />

with DFAS, it is named Exchange Deterministic Algorithm (EDA). The results of<br />

EDA were compared with the results of a Pareto Local Search (PLS).<br />

■ SA05<br />

Velez Sarfield- Second Floor<br />

Retail Pricing and Inventory Decisions:<br />

Theory and Applications<br />

Cluster: Revenue Management and Pricing<br />

Invited Session<br />

Chair: Juan-Carlos Ferrer, Associate Professor, Pontificia Universidad<br />

Católica de Chile, Casilla 06 Correo 22 Santiago, Escuela de Ingeniería,<br />

Santiago, RM, Chile, jferrer@ing.puc.cl<br />

1 - A Multi-period Competitive Model of Retail Revenue Management<br />

Pedro León, Research Engineer, Pricing-UC, Casilla 306 Correo 22,<br />

Santiago, RM, Chile, pleon@pricing.uc.cl, Juan-Carlos Ferrer,<br />

Hugo Mora<br />

This paper analyzes a multi-period stochastic retail revenue management problem<br />

considering competition. An optimal pricing policy is obtained using a game<br />

theoretic approach combined with dynamic programming, for periodic revisions in a<br />

non-cooperative duopoly market where two firms competing with substitutable<br />

perishable products have perfect information on the competitor’s inventory level at<br />

all times. Managerial insights are provided to understand the impact of competition.<br />

2 - On Pricing of Retail Products with Demand Learning:<br />

A Real Application<br />

Eduardo Flores, Research Engineer, Pricing-UC, Casilla 306 Correo<br />

22, Santiago, RM, Chile, eflores@pricing.uc.cl, Juan-Carlos Ferrer<br />

We address the pricing problem of a retailer offering a fixed inventory of products in<br />

a finite sales horizon. The demand is characterized by a Poisson process with an<br />

uncertain arrival rate. The retailer may choose to learn about that rate throughout<br />

the season. Computational results indicate that incorporating learning into the<br />

pricing decision produces a significant increase in expected revenues. An empirical<br />

study in a Chilean retail chain supports the results of this research.<br />

3 - Risk Averse Retail Pricing with Robust Demand Forecasting<br />

Diego Oyarzún, Research Engineer, Pricing-UC, Casilla 306 Correo<br />

22, Santiago, RM, Chile, doyarzun@pricing.uc.cl, Juan-Carlos Ferrer,<br />

Jorge Vera<br />

Good demand estimates are the key to an effective pricing decision making.<br />

However, they are subject to high uncertainty levels due to various factors that are<br />

unpredictable or difficult to model, and pricing decisions are therefore risky.<br />

Uncertainty is explicitly considered for two coefficients of both a linear and an<br />

exponential demand function, price expressions are derived and a criterion is<br />

proposed for defining the degree of risk aversion.<br />

4 - Effective Inventory Management in a Pharmaceutical Retail Chain<br />

Juan-Carlos Ferrer, Associate Professor, Pontificia Universidad<br />

Católica de Chile, Casilla 06 Correo 22 Santiago, Escuela de<br />

Ingeniería, Santiago, RM, Chile, jferrer@ing.puc.cl, Pedro León,<br />

Diego Oyarzún<br />

We present an application of demand forecasting models to significantly reduce<br />

stock-outs in the pharmaceutical industry, where revenues are low and extremely<br />

variable at a SKU/store level. The trade-off between lost sales and inventory is<br />

modeled. Promotions, lead-times, fill rates and replenishment policies are taken into<br />

account. The model keeps a balanced and coordinated inventory flow between the<br />

distribution center and the 310 stores. We conclude presenting the implementation<br />

results.

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