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Fernando Lopez

Universidad Autónoma de Nuevo León, Facultad de ingeniería mecánica y eléctrica, Faculty Member

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I am a Professor at the Autonomous University of Nuevo Leon. My main research interests are Decision Support and Decision Support Systems.
Address: Monterrey, Nuevo León, Mexico

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Juan Carlos Polo

Carlos M Romeo Casabona

University of the Basque Country, Euskal Herriko Unibertsitatea

West Bengal University Of Technology

Yasset Perez-Riverol

European Bioinformatics Institute

Miami Dade College

Francoise Dumas

Paris Sud XI University

University of Rostock

santiago Aguiar

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Papers by Fernando Lopez

Application of Multicriteria Analysis to Increase the Quality of Cuban Tobacco

Proceedings of MOL2NET'22, Conference on Molecular, Biomedical & Computational Sciences and Engineering, 8th ed. - MOL2NET: FROM MOLECULES TO NETWORKS

The application of multicriteria analysis methods to the creation of models that allow evaluating... more The application of multicriteria analysis methods to the creation of models that allow evaluating the pleasure of the smoker, and optimizing the integral quality of the tobacco leaf, ensuring the degree of sensory satisfaction and the harmfulness of the habit, is presented. The quality model was verified in practice, comparing it with

Forecasting Forex Trend Indicators with Fuzzy Rough Sets

Computational Economics

Project Portfolio Selection and Scheduling with Resource Allocation, Synergies, and Project Divisibility

Mathematical Problems in Engineering, 2021

A project portfolio can be defined as a set of project proposals that are selected according to o... more A project portfolio can be defined as a set of project proposals that are selected according to one or more criteria by a decision-maker (individual or group). Regularly, the portfolio selection involves different decision problems, among those evaluation, selection, scheduling, and resource allocation. In published scientific literature, these problems have been addressed mainly separately giving as a result suboptimal solutions (portfolios). In addition, elements as partial allocation and project representation through tasks constitute relevant characteristics in practice that remain unaddressed in depth. The proposal of this research is to integrate the project selection and project scheduling, incorporating all relevant elements of both decision problems through the scheduling of tasks allowing to determine when the task will be funded and executed. The main impact of precedence rules at the task level in the portfolio is also studied. In this work, Project Portfolio Selection a...

Reduction of Decision Rules for Project Explanation on Public Project Portfolio

Int. J. Comb. Optim. Probl. Informatics, 2015

The selection of a public project portfolio among a set of good portfolios directly impacts publi... more The selection of a public project portfolio among a set of good portfolios directly impacts public organizations in a decisive manner. This task depends on the criteria of the decision maker and is especially hard when the solution is evaluated on many objectives. This combinational optimization problem has been addressed by multicriteria optimization algorithms which do not generate a single solution, but instead they generate a set of good solutions in the Pareto frontier. In this paper we propose to aid the recommendation of public projects with the utilization of simplified decision rules to explain the construction of the recommended project portfolio. Due to most decision problems can be represented in decision tables, we can form a decision table — in portfolio selection problem — with rules defined by the features of the projects (condition attributes) and the decision of support (the decision attribute). To facilitate the recommendation process, we simplify the decision rul...

The multimodal and multiperiod urban transportation integrated timetable construction problem with demand uncertainty

Journal of Industrial & Management Optimization, 2017

The urban transport planning process has four main activities: Network design, Timetable construc... more The urban transport planning process has four main activities: Network design, Timetable construction, Vehicle scheduling and Crew scheduling; each activity has subactivities. In this paper the authors work with the subactivities of timetable construction: minimal frequency calculation and departure time scheduling. The authors propose to solve both subactivities in an integrated way. The developed mathematical model allows multi-period planning and it can also be used for multimodal urban transportation systems. The authors consider demand uncertainty and the authors employ fuzzy programming to solve the problem. The authors formulate the urban transportation timetabling construction problem as a bi-objective problem: to minimize the total operational cost and to maximize the number of multi-period synchronizations. Finally, the authors implemented the SAUGMECON method to solve the problem.

The urban transport planning with uncertainty in demand and travel time: a comparison of two defuzzification methods

Journal of Ambient Intelligence and Humanized Computing, 2017

and the comparison of two defuzzification methods (k-preference and second index of Yager) is pre... more

Research and development project portfolio selection under uncertainty

Journal of Ambient Intelligence and Humanized Computing, 2017

Calls for proposals to promote and finance R&D have been for years the main activities to acceler... more Calls for proposals to promote and finance R&D have been for years the main activities to accelerate the progress of a country. Once published a call for proposals, they will go through an evaluation process and only those proposals that meet the minimum requirements will be eligible for funding or support (Archer and Ghasemzadeh 1999). However, not all the proposals meeting the minimum requirements will receive funding because of budget limitations (Litvinchev et al. 2010). In general, the project portfolio selection problem can be defined as follows: it is necessary to choose a set of projects proposals optimizing certain impact measures. These are proposed by the decision maker under resource limitations within a planning horizon (Carazo et al. 2016). The main characteristics of portfolio selection are: projects tasks; different resource allocation policies; interdependence between tasks and/or projects; portfolio balancing rules; uncertainty in the overall budget; and uncertainty in the amount of resources requested by tasks (Arratia et al. 2016). Management of public resources usually occurs in an uncertain environment (Medaglia et al. 2008; Solak et al. 2010). In Medaglia et al. (2008) uncertainty in objectives is considered. The approach of Archer and Ghasemzadeh (1999) considers uncertainty and risk (Hsieh et al. 2016) in achieving projects goals. Papers in this area usually represent uncertain parameters by fuzzy numbers leading to fuzzy optimization problems (Perez and Gomez 2016; Yan and Ji 2017; Wang et al. 2017; Namazian and Yakhchali 2016). To the best of our knowledge so far only small illustrative examples have been considered. Moreover typically the authors do not present details of the solution approach.

Three echelon, multi commodity, outcome-driven supply chain network design and planning problem

Journal of Applied Research and Technology

Nowadays, Supply Chain success and competitiveness heavily depend on the integration of its compo... more Nowadays, Supply Chain success and competitiveness heavily depend on the integration of its components and adaptability to adapt to a changing environment. This article suggests the integration of design, and management of a Supply Chain from an outcome-driven perspective. We propose a two-phase decision-making support methodology: first suppliers are pre-screened by solving a multi criteria sorting problem, and then a design and management plan is generated by solving a Mixed Integer Linear Programming Model. Experimentally, we showed that the proposed methodology could not only be successfully applied for solving efficiently problems and employing exact methods the most popular benchmark instances published in previous paper; but our model also includes problem characteristics that have not been addressed together in previous published papers.

Multiperiod Bus Timetabling

Transportation Science, 2016

The timetabling subproblem of bus transit network planning determines the departure times for all... more The timetabling subproblem of bus transit network planning determines the departure times for all trips of the lines along the entire day. Most of the public transport networks consider planning periods identical for all lines. In this study we drop this strong assumption by introducing specific periods for each line, which is more realistic. Thus, we propose the multiperiod synchronization bus timetabling (MSBT) problem, which specifies the departure times of the trips of all lines where each line has its own planning periods along the day, with the objective of optimizing synchronization events: maximize passenger transfers and minimize bus bunching along the network. We propose an integer linear programming formulation for the MSBT problem and analyze the structural properties of this formulation by a constraint propagation methodology. These properties are the basis for different operators that lead to the design of efficient metaheuristics for solving the problem. We empiricall...

An integrated model for the frequency and timetabling problem

ABSTRACT The process of urban public transportation planning commonly include four basic activiti... more ABSTRACT The process of urban public transportation planning commonly include four basic activities usually executed in sequence: Network design, Timetabling, Vehicle scheduling and Crew schedul-ing. In this work we present an integrated model for the minimum frequency and timetabling. We use two metaheuristics to solve it. The main cientific contribution of this paper is the development of an integrated MILP model to construct timetable by selecting frequencies in such a way that multiple objectives are optimized, like operational cost, synchronization, waiting time and smooth transitions between periods. Finally we show and analyze some experimental results.

R&D project portfolio selection in public organizations

Modelo para Problemas de Cooperación en Proyectos de Desarrollo con Alto Riesgo

Computación Y Sistemas, 1999

Two-Phase Decision Support Methodology for Design and Planning an Outcome-Driven Supply Chain

Journal of Applied Research and Technology, 2014

Nowadays, Supply Chain success and competitiveness heavily depend on the integration of its compo... more Nowadays, Supply Chain success and competitiveness heavily depend on the integration of its components and adaptability to deal with a changing environment. This article suggests the integration of design and management of a Supply Chain from an outcome-driven perspective. We propose a two-phase decision-making support methodology: first suppliers are pre-screened by solving a multi criteria sorting problem, and then a design and management plan is generated by solving a Mixed Integer Linear Programming Model. Experimentally we showed that the proposed methodology can efficiently solve to optimality the most popular benchmark instances published in previous paper moreover our model also includes problem characteristics that have not been addressed together in previous published papers. Keywords:.Supply chain design; supply chain planning; Mixed Linear Integer Programming; multi-criteria sorting problem; outcome-driven. RESUMEN Actualmente, el éxito y competitividad de las cadenas de suministro depende en gran medida de la integración de sus componentes y la capacidad de adaptación a los cambios que se presenten. En este artículo se propone la integración del diseño y planeación de la cadena de suministro desde una perspectiva dirigida a resultados. Se propone una metodología de apoyo a la decisión de dos fases: en la primera fase de preselección los proveedores son pre-seleccionados resolviendo un problema de ordenamiento y en la segunda fase de diseño y planeación un modelo lineal entero mixto es resuelto. Experimentalmente se muestra que la metodología propuesta puede resolver de manera óptima instancias publicadas en artículos previos, por otra parte nuestro modelo incluye características que no han tratado en conjunto en los trabajos publicados anteriormente.

A bi-objective model for the integrated frequency-timetabling problem

Urban Transport XX, 2014

The urban transport planning process has four basic activities: network design, timetable constru... more The urban transport planning process has four basic activities: network design, timetable construction, vehicle scheduling and crew scheduling. In this work we focus on the urban bus timetable construction problem which has two sub-activities: bus frequency calculation and bus departures setting. Typically, these sub-activities are done sequentially, which has some drawbacks: to overcome these drawback we propose to integrate both these sub-activities. We take into consideration: multiple planning periods, synchronizations events (a synchronization occurs when two buses from different routes arrive to a node within a time window), fixed and variable operations costs and uncertain demand in each period.

An Interactive Decision Support System Framework for Social Project Portfolio Selection

Recent Advances on Hybrid Intelligent Systems, 2013

In this paper, we present the development of a Decision Support System (DSS) for the project port... more In this paper, we present the development of a Decision Support System (DSS) for the project portfolio selection problem, financed with public funds. The selection of the portfolio is a complex optimization problem with multiple subjective criteria, which are difficult to compare. The Decision Maker (DM) has to find a manageable and most preferred set among many non-dominated (efficient) solutions. There is a vast variety of techniques and software for multi-criteria decision making. However, the portfolio selection is an area that requires ...

MILP for selecting portfolio of RaD projects in public organizations with partial and full resource allocation policies

Procedings of the Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support, 2013

In general, the problem of R&D project portfolio selection (RDPPS) is to choose a set of project ... more In general, the problem of R&D project portfolio selection (RDPPS) is to choose a set of project proposals that optimize certain impact measures designated by the decision maker. In this paper we present a MILP model, that incorporates the most relevant aspects of the problem found in the literature, that supports both full (all or nothing) and partial (a certain amount between a minimum and a maximum value) resource allocation policies to projects. In most of the reviewed papers about RDPPS full allocation resources policies are implemented, a few implement partiall allocation policies, but most of them presents very simple models.

A milp bi-objective model for static portfolio selection of R&D projects with synergies

Journal of Computer and Systems Sciences International, 2011

This paper presents a multi objective MILP model for portfolio selection of research and developm... more This paper presents a multi objective MILP model for portfolio selection of research and development (R&D) projects with synergies. The proposed model incorporates information about the funds assigned to different activities as well as about synergies between projects at the activity and project level. The latter aspects are predominant in the context of portfolio selection of R&D projects in public organizations. Previous works on portfolio selection of R&D projects considered interdepen dencies mainly at the project level. In a few works considering activity level information the models and solution techniques were restricted to problems with a few projects. We study a generalization of our previous model and show that incorporating interdependencies and activity funding information is useful for obtaining portfolios with better quality. Numerical results are presented to demonstrate the efficiency of the proposed approach for large models.

Formulación y análisis del problema de planificación física en redes heterogéneas de distribución

Solution to the Social Portfolio Problem by Evolutionary Algorithms

International Journal

Abstract: The formation of project portfolio is a multi-objective problem that has a high impact ... more Abstract: The formation of project portfolio is a multi-objective problem that has a high impact on public and private organizations, and has generally been addressed by evolutionary algorithms. They often seekan approximation of the Pareto front, and then the decision maker must choose an only solution from the set. This is not a difficult task when you have to select a solution from a small set evaluated in two or three objectives. But when the set of solutions grows, or the number of objectives increases, the choice is often a complicated ...

Using MILP Tools to Study R&D Portfolio Selection Model for Large Instances in Public and Social Sector

Computación y Sistemas, 2008

In this paper a mixed-integer linear programming (MILP) model is studied for the bi-objective pub... more In this paper a mixed-integer linear programming (MILP) model is studied for the bi-objective public R&D projects portfolio problem. The proposed approach provides an acceptable compromise between the impact and the number of supported projects. Lagrangian relaxation techniques are considered to get easy computable bounds for the objectives. The experiments show that a solution can be obtained in less than a minute for instances comprising of up to 25,000 project proposals. This brings significant improvement to the previous approaches that efficiently manage instances of a few hundred projects.

Application of Multicriteria Analysis to Increase the Quality of Cuban Tobacco

Proceedings of MOL2NET'22, Conference on Molecular, Biomedical & Computational Sciences and Engineering, 8th ed. - MOL2NET: FROM MOLECULES TO NETWORKS

The application of multicriteria analysis methods to the creation of models that allow evaluating... more The application of multicriteria analysis methods to the creation of models that allow evaluating the pleasure of the smoker, and optimizing the integral quality of the tobacco leaf, ensuring the degree of sensory satisfaction and the harmfulness of the habit, is presented. The quality model was verified in practice, comparing it with

Forecasting Forex Trend Indicators with Fuzzy Rough Sets

Computational Economics

Project Portfolio Selection and Scheduling with Resource Allocation, Synergies, and Project Divisibility

Mathematical Problems in Engineering, 2021

A project portfolio can be defined as a set of project proposals that are selected according to o... more A project portfolio can be defined as a set of project proposals that are selected according to one or more criteria by a decision-maker (individual or group). Regularly, the portfolio selection involves different decision problems, among those evaluation, selection, scheduling, and resource allocation. In published scientific literature, these problems have been addressed mainly separately giving as a result suboptimal solutions (portfolios). In addition, elements as partial allocation and project representation through tasks constitute relevant characteristics in practice that remain unaddressed in depth. The proposal of this research is to integrate the project selection and project scheduling, incorporating all relevant elements of both decision problems through the scheduling of tasks allowing to determine when the task will be funded and executed. The main impact of precedence rules at the task level in the portfolio is also studied. In this work, Project Portfolio Selection a...

Reduction of Decision Rules for Project Explanation on Public Project Portfolio

Int. J. Comb. Optim. Probl. Informatics, 2015

The selection of a public project portfolio among a set of good portfolios directly impacts publi... more The selection of a public project portfolio among a set of good portfolios directly impacts public organizations in a decisive manner. This task depends on the criteria of the decision maker and is especially hard when the solution is evaluated on many objectives. This combinational optimization problem has been addressed by multicriteria optimization algorithms which do not generate a single solution, but instead they generate a set of good solutions in the Pareto frontier. In this paper we propose to aid the recommendation of public projects with the utilization of simplified decision rules to explain the construction of the recommended project portfolio. Due to most decision problems can be represented in decision tables, we can form a decision table — in portfolio selection problem — with rules defined by the features of the projects (condition attributes) and the decision of support (the decision attribute). To facilitate the recommendation process, we simplify the decision rul...

The multimodal and multiperiod urban transportation integrated timetable construction problem with demand uncertainty

Journal of Industrial & Management Optimization, 2017

The urban transport planning process has four main activities: Network design, Timetable construc... more The urban transport planning process has four main activities: Network design, Timetable construction, Vehicle scheduling and Crew scheduling; each activity has subactivities. In this paper the authors work with the subactivities of timetable construction: minimal frequency calculation and departure time scheduling. The authors propose to solve both subactivities in an integrated way. The developed mathematical model allows multi-period planning and it can also be used for multimodal urban transportation systems. The authors consider demand uncertainty and the authors employ fuzzy programming to solve the problem. The authors formulate the urban transportation timetabling construction problem as a bi-objective problem: to minimize the total operational cost and to maximize the number of multi-period synchronizations. Finally, the authors implemented the SAUGMECON method to solve the problem.

The urban transport planning with uncertainty in demand and travel time: a comparison of two defuzzification methods

Journal of Ambient Intelligence and Humanized Computing, 2017

and the comparison of two defuzzification methods (k-preference and second index of Yager) is pre... more

Research and development project portfolio selection under uncertainty

Journal of Ambient Intelligence and Humanized Computing, 2017

Calls for proposals to promote and finance R&D have been for years the main activities to acceler... more Calls for proposals to promote and finance R&D have been for years the main activities to accelerate the progress of a country. Once published a call for proposals, they will go through an evaluation process and only those proposals that meet the minimum requirements will be eligible for funding or support (Archer and Ghasemzadeh 1999). However, not all the proposals meeting the minimum requirements will receive funding because of budget limitations (Litvinchev et al. 2010). In general, the project portfolio selection problem can be defined as follows: it is necessary to choose a set of projects proposals optimizing certain impact measures. These are proposed by the decision maker under resource limitations within a planning horizon (Carazo et al. 2016). The main characteristics of portfolio selection are: projects tasks; different resource allocation policies; interdependence between tasks and/or projects; portfolio balancing rules; uncertainty in the overall budget; and uncertainty in the amount of resources requested by tasks (Arratia et al. 2016). Management of public resources usually occurs in an uncertain environment (Medaglia et al. 2008; Solak et al. 2010). In Medaglia et al. (2008) uncertainty in objectives is considered. The approach of Archer and Ghasemzadeh (1999) considers uncertainty and risk (Hsieh et al. 2016) in achieving projects goals. Papers in this area usually represent uncertain parameters by fuzzy numbers leading to fuzzy optimization problems (Perez and Gomez 2016; Yan and Ji 2017; Wang et al. 2017; Namazian and Yakhchali 2016). To the best of our knowledge so far only small illustrative examples have been considered. Moreover typically the authors do not present details of the solution approach.

Three echelon, multi commodity, outcome-driven supply chain network design and planning problem

Journal of Applied Research and Technology

Nowadays, Supply Chain success and competitiveness heavily depend on the integration of its compo... more Nowadays, Supply Chain success and competitiveness heavily depend on the integration of its components and adaptability to adapt to a changing environment. This article suggests the integration of design, and management of a Supply Chain from an outcome-driven perspective. We propose a two-phase decision-making support methodology: first suppliers are pre-screened by solving a multi criteria sorting problem, and then a design and management plan is generated by solving a Mixed Integer Linear Programming Model. Experimentally, we showed that the proposed methodology could not only be successfully applied for solving efficiently problems and employing exact methods the most popular benchmark instances published in previous paper; but our model also includes problem characteristics that have not been addressed together in previous published papers.

Multiperiod Bus Timetabling

Transportation Science, 2016

The timetabling subproblem of bus transit network planning determines the departure times for all... more The timetabling subproblem of bus transit network planning determines the departure times for all trips of the lines along the entire day. Most of the public transport networks consider planning periods identical for all lines. In this study we drop this strong assumption by introducing specific periods for each line, which is more realistic. Thus, we propose the multiperiod synchronization bus timetabling (MSBT) problem, which specifies the departure times of the trips of all lines where each line has its own planning periods along the day, with the objective of optimizing synchronization events: maximize passenger transfers and minimize bus bunching along the network. We propose an integer linear programming formulation for the MSBT problem and analyze the structural properties of this formulation by a constraint propagation methodology. These properties are the basis for different operators that lead to the design of efficient metaheuristics for solving the problem. We empiricall...

An integrated model for the frequency and timetabling problem

ABSTRACT The process of urban public transportation planning commonly include four basic activiti... more ABSTRACT The process of urban public transportation planning commonly include four basic activities usually executed in sequence: Network design, Timetabling, Vehicle scheduling and Crew schedul-ing. In this work we present an integrated model for the minimum frequency and timetabling. We use two metaheuristics to solve it. The main cientific contribution of this paper is the development of an integrated MILP model to construct timetable by selecting frequencies in such a way that multiple objectives are optimized, like operational cost, synchronization, waiting time and smooth transitions between periods. Finally we show and analyze some experimental results.

R&D project portfolio selection in public organizations

Modelo para Problemas de Cooperación en Proyectos de Desarrollo con Alto Riesgo

Computación Y Sistemas, 1999

Two-Phase Decision Support Methodology for Design and Planning an Outcome-Driven Supply Chain

Journal of Applied Research and Technology, 2014

Nowadays, Supply Chain success and competitiveness heavily depend on the integration of its compo... more Nowadays, Supply Chain success and competitiveness heavily depend on the integration of its components and adaptability to deal with a changing environment. This article suggests the integration of design and management of a Supply Chain from an outcome-driven perspective. We propose a two-phase decision-making support methodology: first suppliers are pre-screened by solving a multi criteria sorting problem, and then a design and management plan is generated by solving a Mixed Integer Linear Programming Model. Experimentally we showed that the proposed methodology can efficiently solve to optimality the most popular benchmark instances published in previous paper moreover our model also includes problem characteristics that have not been addressed together in previous published papers. Keywords:.Supply chain design; supply chain planning; Mixed Linear Integer Programming; multi-criteria sorting problem; outcome-driven. RESUMEN Actualmente, el éxito y competitividad de las cadenas de suministro depende en gran medida de la integración de sus componentes y la capacidad de adaptación a los cambios que se presenten. En este artículo se propone la integración del diseño y planeación de la cadena de suministro desde una perspectiva dirigida a resultados. Se propone una metodología de apoyo a la decisión de dos fases: en la primera fase de preselección los proveedores son pre-seleccionados resolviendo un problema de ordenamiento y en la segunda fase de diseño y planeación un modelo lineal entero mixto es resuelto. Experimentalmente se muestra que la metodología propuesta puede resolver de manera óptima instancias publicadas en artículos previos, por otra parte nuestro modelo incluye características que no han tratado en conjunto en los trabajos publicados anteriormente.

A bi-objective model for the integrated frequency-timetabling problem

Urban Transport XX, 2014

The urban transport planning process has four basic activities: network design, timetable constru... more The urban transport planning process has four basic activities: network design, timetable construction, vehicle scheduling and crew scheduling. In this work we focus on the urban bus timetable construction problem which has two sub-activities: bus frequency calculation and bus departures setting. Typically, these sub-activities are done sequentially, which has some drawbacks: to overcome these drawback we propose to integrate both these sub-activities. We take into consideration: multiple planning periods, synchronizations events (a synchronization occurs when two buses from different routes arrive to a node within a time window), fixed and variable operations costs and uncertain demand in each period.

An Interactive Decision Support System Framework for Social Project Portfolio Selection

Recent Advances on Hybrid Intelligent Systems, 2013

In this paper, we present the development of a Decision Support System (DSS) for the project port... more In this paper, we present the development of a Decision Support System (DSS) for the project portfolio selection problem, financed with public funds. The selection of the portfolio is a complex optimization problem with multiple subjective criteria, which are difficult to compare. The Decision Maker (DM) has to find a manageable and most preferred set among many non-dominated (efficient) solutions. There is a vast variety of techniques and software for multi-criteria decision making. However, the portfolio selection is an area that requires ...

MILP for selecting portfolio of RaD projects in public organizations with partial and full resource allocation policies

Procedings of the Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support, 2013

In general, the problem of R&D project portfolio selection (RDPPS) is to choose a set of project ... more In general, the problem of R&D project portfolio selection (RDPPS) is to choose a set of project proposals that optimize certain impact measures designated by the decision maker. In this paper we present a MILP model, that incorporates the most relevant aspects of the problem found in the literature, that supports both full (all or nothing) and partial (a certain amount between a minimum and a maximum value) resource allocation policies to projects. In most of the reviewed papers about RDPPS full allocation resources policies are implemented, a few implement partiall allocation policies, but most of them presents very simple models.

A milp bi-objective model for static portfolio selection of R&D projects with synergies

Journal of Computer and Systems Sciences International, 2011

This paper presents a multi objective MILP model for portfolio selection of research and developm... more This paper presents a multi objective MILP model for portfolio selection of research and development (R&D) projects with synergies. The proposed model incorporates information about the funds assigned to different activities as well as about synergies between projects at the activity and project level. The latter aspects are predominant in the context of portfolio selection of R&D projects in public organizations. Previous works on portfolio selection of R&D projects considered interdepen dencies mainly at the project level. In a few works considering activity level information the models and solution techniques were restricted to problems with a few projects. We study a generalization of our previous model and show that incorporating interdependencies and activity funding information is useful for obtaining portfolios with better quality. Numerical results are presented to demonstrate the efficiency of the proposed approach for large models.

Formulación y análisis del problema de planificación física en redes heterogéneas de distribución

Solution to the Social Portfolio Problem by Evolutionary Algorithms

International Journal

Abstract: The formation of project portfolio is a multi-objective problem that has a high impact ... more Abstract: The formation of project portfolio is a multi-objective problem that has a high impact on public and private organizations, and has generally been addressed by evolutionary algorithms. They often seekan approximation of the Pareto front, and then the decision maker must choose an only solution from the set. This is not a difficult task when you have to select a solution from a small set evaluated in two or three objectives. But when the set of solutions grows, or the number of objectives increases, the choice is often a complicated ...

Using MILP Tools to Study R&D Portfolio Selection Model for Large Instances in Public and Social Sector

Computación y Sistemas, 2008

In this paper a mixed-integer linear programming (MILP) model is studied for the bi-objective pub... more In this paper a mixed-integer linear programming (MILP) model is studied for the bi-objective public R&D projects portfolio problem. The proposed approach provides an acceptable compromise between the impact and the number of supported projects. Lagrangian relaxation techniques are considered to get easy computable bounds for the objectives. The experiments show that a solution can be obtained in less than a minute for instances comprising of up to 25,000 project proposals. This brings significant improvement to the previous approaches that efficiently manage instances of a few hundred projects.