Universidad Pontificia Comillas
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[Principal] [Résumé/CV] [Material docente] [Operations Management] [Mathematical Methods] [Operations Research] [Técnicas de Optimización de Sistemas] [Modelado y Simulación de Sistemas] [Applied Optimization] [Statistics II] [Quantitative Decision Methods] [Optimization Techniques] [Deterministic Optimization] [Stochastic Optimization] [Investigación] [Open Models] [openSDUC] [openTEPES] [TEPES] [ROM] [StarNet] [FLOP] [iMetro]

Gestión de Operaciones / Operations Management (4th IEM, year 2013-14)

News:


Operations Research (the science of better):
Discipline that applies advanced analytical methods to take decisions to improve operations of a company.

A New View of Analytics and Operations Research

, Learn About O.R., The Executive Guide to Operational Research, Operational Research and EURO

L. Escudero y M.A. López SEIO y la historia de la IO en España Boletín de Estadística e Investigación Operativa 28 (1): 24-55, Feb 2012

F. Petropoulos et al. Operational Research: Methods and Applications March 2023

Life itself is a matter of OR

The current table reflects in a realistic way the course development during the several sessions. It allows the student to know in advance what is going to happen in each session in order to prepare the subject and to organize its work adequately.


Date
 
Theory
 
Readings
 
Problems
 
Practice

Sep 4, 13

  Extract of the syllabus. Additional bibliography.
Hand out of class notes and web page for slides.
Survey (motivation, expectations, difficulty, etc.)
 

J.R. Alonso Una Universidad nueva El País 12/01/2009

FAQs About O.R. & Analytics

     

 


Sep 4, 13
 

LECTURE NOTES about Optimization mathematical modeling.

INTRODUCTION TO OPTIMIZATION AND MODELING. OR definition. Historical introduction.
Optimization definition. Classification of optimization methods.
MODEL AND MODELING. Steps in developing a model.

 

L. Escudero y M.A. López SEIO y la historia de la IO en España Boletín de Estadística e Investigación Operativa 28 (1): 24-55, Feb 2012

Operations Research Time Line

Energy Systems Modeling (SADSE)

 

J. Toczek The PuzzlOR

A. Ramos Some IIT Operations Research Models for Electricity Markets XIV Latin Ibero-American Congress on Operations Research (CLAIO 2008) Cartagena de Indias, Colombia September 2008 (Presentation) Sesión semiplenaria

M. Alvar, A. Arranz, A. Ramos, A. Sánchez, J. Villar Parking place demand and offer assignment IIT-09-019A

A. Ramos, M.T. Peña, A. Fernández, P. Cucala Mathematical programming approach to underground timetabling problem for maximizing time synchronization Revista de Dirección, Organización y Administración de Empresas CEPADE 35: 88-95 Junio 2008

S. Cerisola, A. Baillo, J.M. Fernandez-Lopez, A. Ramos, R. Gollmer Stochastic Power Generation Unit Commitment in Electricity Markets: A Novel Formulation and A Comparison of Solution Methods Operations Research 57 (1): 32-46 Jan-Feb 2009

S. Lumbreras and A. Ramos Optimal Design of the Electrical Layout of an Offshore Wind Farm: a Comprehensive and Efficient Approach Applying Decomposition Strategies IEEE Transactions on Power Systems 28 (2): 1434-1441, May 2013 10.1109/TPWRS.2012.22049066

P. Sánchez-Martín, A. Ramos, J.F. Alonso Probabilistic mid-term transmission planning in a liberalized market IEEE Transactions on Power Systems 20 (4): 2135-2142 Nov 2005

ROADEF/EURO Challenge 2010: A large-scale energy management problem with varied constraints

J.K. Delson and S.M. Shahidehpour Linear Programming Applications to Power System Economics, Planning and Operations IEEE Transactions on Power Systems (7) 3: 1155-1163 Aug 1992

J. Board, Ch. Sutcliffe and W.T. Ziemba Applying Operations Research Techniques to Financial Markets Interfaces Vol 33. No. 2 pp. 12-24 Mar-Apr 2003

C. Barnhart, P. Belobaba, A.R. Odoni Applications of Operations Research in the Air Transport Industry Transportation Science Vol 37. No. 4 pp. 368-391 Nov 2003

H.E. Romeijn et al. A New Linear Programming Approach to Radiation Therapy Treatment Planning Problems Operations Research (54) 2: 201-216 Mar-Apr 2006

   Diet problem.    

Sep 5, 13
 

MODELING WITH LINEAR PROGRAMMING. Transportation problem. Transhipment problem.

  Th.A. Grossman The Spreadsheet Analytic Value Chain OR/MS Today Aug 2006        

Sep 5, 13
  Task assignment problem.            

Sep 9, 13
  MODELING WITH INTEGER LINEAR PROGRAMMING. Knapsack problem. Set covering problem. Packing problem. Partition problem. Travelling salesman problem (TSP).   TSP Art        

Sep 10, 13
  Fixed cost problem.       Task sequencing in a machine.
Modeling Poblems # 1
Production of three products.
   

Sep 12, 13
  Disjunctive constraints. Satisfy k of N equations. Selection among N values. Simple implications. Equivalences among logical propositions. Complex logical propositions.            

Sep 12,13
          Charter Flights. Bakery. Selecting a basketball team.
  Optimization cases

Sep 23, 13
          Paper roll cut.
 

 


Sep 24, 13
          Connecting two pipelines.    

Sep 25, 13
         
 

Team formation.
Assignment of optimization practices with GAMS.

GAMS Development; Optimization: Energy Systems Modeling (SADSE); OR/MS-today Advertisement, August 2009

Algebraic modeling languages.
Transportation problem: mathematical formulation and coding in GAMS.

Execution and analysis of the results.

GOOD OPTIMIZATION MODELING PRACTICES with GAMS (All You Wanted to Know About Practical Optimization but Were Afraid to Ask) June 2022

GOOD OPTIMIZATION MODELING PRACTICES with Pyomo (All You Wanted to Know About Practical Optimization but Were Afraid to Ask) June 2022


Sep 25, 13
          Car renting.    

Sep 26, 13
          Swimming pools.
   

Sep 26, 13
          Job shop. Sequencing tasks in two machines. Exams. Data bases.

Solution Poblem set # 1

   

Sep 30, 13
  MULTICRITERIA DECISION MAKING.
Multicriteria decision analysis. Pareto efficiency. Weighted-Sum Method. Epsilon-Constraint Method. Goal Attainment Method.
      Multicriteria decision making problems    

Oct 1, 13
             

Practical session with GAMS.

NEOS Server for Optimization


Oct 2, 13
          TV Company. Ticket distribution.    

Oct 2, 13
  LECTURE NOTES about Linear Optimization.

LINEAR PROGRAMMING.

 

Mathematical Programming Glossary

Linear and Discrete Optimization course from EPFL at coursera.org

 

 

 

 


Oct 3, 13
 

SHORT EXAM year 2013-14 A, B
SHORT EXAM year 2012-13
MIDTERM EXAM year 2011-12
MIDTERM EXAM year 2010-11
MIDTERM EXAM year 2009-10
MIDTERM EXAM year 2008-09
MIDTERM EXAM year 2007-08

           

Oct 3, 13
 

Hypothesis. Geometry. Properties. Simplex algorithm. Graphical solution. Standard form.

  R. Elwes The algorithm that runs the world New Scientist (2877) Aug 2012      

Un español resuelve un problema matemático de hace medio siglo El Mundo 27/05/2010.

Premio Fulkerson 2015 de la Mathematical Optimization Society (MOS) y la American Mathematical Society (AMS)

iMetro: Subway best route calculator


Oct 9, 13
  Algebraic solution.  

George B. Dantzig, the father of linear programming

R.W. Cottle George B. Dantzig: A Legendary Life in Mathematical Programming Mathematical Programming (105) 1: 1-8 Jan 2006

R.W. Cottle George B. Dantzig: Operations Research Icon Operations Research (53) 6: 892-898 Nov-Dec 2005

J.C. Nash The (Dantzig) Simplex Method for Linear Programming Computing in Science & Engineering (2) 1: 29-31 Jan-Feb 2000

R.E. Bixby Solving Real-World Linear Programs: a Decade and More of Progress Operations Research (50) 1: 3-15 Jan-Feb 2002

  LP Problems 1, 2, 3, 4, 8, 9, 22, 24  

 


Oct 9, 13
  Multiple optima.          

 


Oct 10, 13
  Degeneracy. Characterizing the solutions.          

 


Oct 10, 13
  Tabular form.            

Oct 16, 13
  Tabular form.            

Oct 16, 13
  Obtaining an initial basic feasible solution: two phase method.
          Javascript SimpleX
PHPSimplex

Oct 17, 13
  DUALITY. Dual problem. Fundamental properties of duality. Economical interpretation.      
 

 


Oct 17, 13
  Graphical interpretation of dual variables and of reduced costs.      
 

 


Oct 23, 13
  SENSITIVITY ANALYSIS. Changes in constraint bounds. Change in a coefficient of a non basic variable.      
 

 


Oct 23, 13
  Introduction of a new variable.      
 

 


Oct 24, 13
  Change in a coefficient of a basic variable.      
 

 


Oct 24, 13
  Introduction of a new constraint. Dual simplex method.       Solution LP Problems 1, 2, 3, 4, 8, 9, 22, 24)  

Practical case report.
Hand in of optimization practical cases with GAMS.

Comments about the modeling difficulties and GAMS practical case and spent time.


Oct 30, 13
          Solution LP Problems 1, 2, 3, 4, 8, 9, 22, 24)  

 


Oct 30, 13
 

LECTURE NOTES about Mixed integer linear programming.

INTEGER LINEAR PROGRAMMING. Example case. Branch and bound method.

  R.E. Gomory Early Integer Programming Operations Research (50) 1: 78-81 Jan-Feb 2002  

 

 

 


Oct 31, 13
         

Problem Set MIP 2, 4, 1

 

 


Oct 31, 13
 

LECTURE NOTES about Nonlinear optimization.

Modeling NLP.
NONLINEAR PROGRAMMING. Introduction. Problems without constraints: optimality conditions.

  H.W. Kuhn Being in the Right Place at the Right Time Operations Research (50) 1: 132-134 Jan-Febr 2002

Entrevista a Mar Hershenson Anales de Mecánica y Electricidad (LXXXII) II: 3-10 Mar-Abr 2005
       

Nov 6, 13
  Problems with constraints: optimality conditions.            

Nov 6, 13
  Necessary and sufficient Karush-Kuhn-Tucker conditions.            

Nov 7, 13
         

Problem set Inventarios, Función cúbica con hiperplanos, Chequeo de puntos, Objetivo lineal, Problema 2, 3, 4A, 4B, 4C, Triatlón, Función cúbica, Ciencias de la complejidad)

 

Nov 7, 13
 

SHORT EXAM year 2013-14A-B
SHORT EXAM year 2012-13
MIDTERM EXAM year 2011-12
MIDTERM EXAM year 2010-11
MIDTERM EXAM year 2009-10
MIDTERM EXAM year 2008-09
MIDTERM EXAM year 2007-08

           

Nov 13, 13
         

Problem set Inventarios, Función cúbica con hiperplanos, Chequeo de puntos, Objetivo lineal, Problema 2, 3, 4A, 4B, 4C, Triatlón, Función cúbica, Ciencias de la complejidad)

 

Nov 13, 13
 

LECTURE NOTES about Decision theory.

DECISION THEORY.
Decision criteria. Example.

 

Leonid Hurwicz, Eric S. Maskin y Roger B. Myerson 2007 Nobel Price in Economic Sciences "for having laid the foundations of mechanism design theory"

A. Mas-Colell Leo Hurwicz, el pionero El País. 21 Octubre 2007

       

Nov 14, 13
  Decision trees. Example.
           

Nov 14, 13
  Bayesian analysis. Example.        Problem 1.
Problem set (I+D, Contrato de móvil, Pañuelos, El huerto, El sondeo, Concurso)
   

Nov 20, 13
         

Solution Problem set (I+D, Contrato de móvil, Pañuelos, El huerto, El sondeo, Concurso)

   

Nov 20, 13
 

LECTURE NOTES about Game theory.

GAME THEORY.

 

H. Singh Introduction to Game Theory and Its Application in Electric Power Markets IEEE Computer Applications in Power (12)4: 18-22 Oct 1999

M. Shubik Game Theory and Operations Research: Some Musings 50 Years Later Operations Research (50) 1: 192-196 Jan-Feb 2002

P. Horner Game Theory: A 'Nobel' Pursuit OR/MS Today (32) 6 Dec 2005

Aumann's Work in Game Theory Leads to von Neumann Prize OR/MS Today (32) 6 Dec 2005

Robert J. Aumann and Thomas C. Schelling 2005 Nobel Price in Economic Sciences "for having enhanced our understanding of conflict and cooperation through game-theory analysis"

John C. Harsanyi, John F. Nash Jr. and Reinhard Selten 1994 Nobel Price in Economic Sciences "for their pioneering analysis of equilibria in the theory of non-cooperative games"

John F. Nash Non-Cooperative Games PhD Thesis. Princeton University. May 1950

A. MecaGénesis y Evolución de la Teoría de Juegos. Sus Orígenes en España Boletín de Estadística e Investigación Operativa Vol 22 No 1 / Enero 2006

D. Ríos Varoufakis en los juegos (no) olímpicos El País 26-jul-2015

Game Theory course from Stanford University at coursera.org

Game Theory courses in Open Education DataBase

       

Nov 21, 13
  Equilibrium on pure and mixed strategies. Cournot equilibrium. Bertrand equilibrium.      

 

   

Nov 21, 13
 

 

     

Problem set (Móviles, Caperucita, Suma nula 3x4, Suma nula 2x4, Suma nula 3x5, Suma nula 4x5)

   

Nov 27, 13
          Solution problem set (Móviles, Caperucita, Suma nula 3x4, Suma nula 2x4, Suma nula 3x5, Suma nula 4x5)    

Nov 27, 13
             

El Arte de Presentar

A very funny example
Kate Hartman: el arte de la indumentaria de comunicación

Presentation of optimization practical cases.


Nov 28, 13
              Presentation of optimization practical cases.

Nov 28, 13
              Presentation of optimization practical cases.

Dec 4, 13
              Presentation of optimization practical cases.

Dec 4, 13
              Presentation of optimization practical cases.

Dec xx, 13
  METAHEURISTICS. Introduction. Genetic algorithms (GA).            

Dec 12, 13
          FINAL EXAM year 2013-14
FINAL EXAM year 2012-13
FINALEXAM year 2011-12
FINALEXAM year 2010-11
FINALEXAM year 2009-10
FINALEXAM year 2008-09
FINALEXAM year 2007-08
FINALEXAM year 2006-07
   

Jun 25, 14
          RESIT EXAM year 2013-14
RESIT EXAM year 2012-13
RESIT EXAM year 2011-12
RESIT EXAM year 2010-11
RESIT EXAM year 2009-10
RESIT EXAM year 2008-09
RESIT EXAM year 2007-08
RESIT EXAM year 2006-07