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Universidad de Jaén
Syllabus
11122021-Operations Research
Academic year 2025-26
SUBJECT DATA FORM
Course basic information:
Code:
11122021
Name:
Operations Research
Faculty:
FACULTY OF LAW AND SOCIAL SCIENCES
Degree:
Grado en Administración y dirección de empresas
Course:
3
Semester:
Primer cuatrimestre
Type:
Obligatoria
Language of Instruction:
Español
PATIE level:
PATIE 3
E-learning platform:
Teaching mode:
Face-to-face
Additional information (TEACH):
-




TEACHING STAFF

COORDINATION
Name:
MARTÍNEZ RODRÍGUEZ, ANA MARÍA
Departmet:
U112 - ESTADISTICA E INVESTIGACIÓN OPERATIVA
Field of study:
265 - ESTADÍSTICA E INVESTIGACIÓN OPERATIVA
Professional category:
TITULAR DE UNIVERSIDAD
Office no.:
B3 - 045
E-mail:
ammartin@ujaen.es
Phone number:
953212929
URL web:
-

TEACHING TEAM
Name:
ALCÁNTARA PARRAS, SARA
Department:
U112 - ESTADISTICA E INVESTIGACIÓN OPERATIVA
Field of study:
265 - ESTADÍSTICA E INVESTIGACIÓN OPERATIVA
Professional category:
PROFESOR SUSTITUTO
Office no.:
-
E-mail:
-
Phone number:
-
ORCID:
-
URL web:
-
Name:
FRÍAS BUSTAMANTE, MARÍA DEL PILAR
Department:
U112 - ESTADISTICA E INVESTIGACIÓN OPERATIVA
Field of study:
265 - ESTADÍSTICA E INVESTIGACIÓN OPERATIVA
Professional category:
TITULAR DE UNIVERSIDAD
Office no.:
B3 - 060
E-mail:
mpfrias@ujaen.es
Phone number:
953212208
URL web:
-




SUMMARY
Previous knowledge and recommendations
Students are recommended to have completed Mathematics I and II and Statistics I and II.
Brief summary of the course
Linear programming · Nonlinear programming Multicriteria programming Decision theory and game theory
Prerequisites
-




SKILLS / OUTCOMES OF THE TRAINING AND LEARNING PROCESS

HD03 Apply quantitative tools related to the field of Business Administration and Management.


HD04 Model business situations





CONTENT DESCRIPTION
Theory

Linear Programming

  • Introduction
  • The Linear Programming Model
  • Graphical LP Solution
  • Convex Regions
  • LP Solutions Properties

The Simplex Method

  • Introduction
  • The Simplex Method
  • Artificial Starting Solution

The Dual Problem

  • The Dual Problem
  • Primal-Dual Relationships
  • Economic Interpretation of Duality
  • The Dual Simplex Method

Sensitivity Analysis

  • Introduction
  • Changes Affecting Optimality
  • Changes Affecting Feasibility

Multiobjective Programming

  • Introduction
  • PL Multiobjective Problem
  • Goal Programming

Decision Analysis and Games

  • Decision Making under Certainty
  • Decision Making under Risk
  • Decision under Uncertainty
  • Game Theory

Nonlinear Programming

  • The Nonlinear Programming Model
  • Uncostrained Problems
  • Constrained Problems
Practice

Practical Content

The practical content is oriented towards the application of theoretical concepts through the resolution of real or simulated cases, utilizing specific computational tools (such as Excel Solver or R). For each of the theoretical blocks (linear programming, non-linear programming, multi-criteria programming, decision theory, and game theory), practical exercises will be developed to enable the student to:

  • Formulate models from real or simulated statements.
  • Implement and solve these models with specialized software.
  • Analyze and interpret the obtained results.




TEACHING METHODOLOGIES AND FORMATIVE ACTIVITIES
Additional information
The course is divided into two strongly related parts: theory and practical sessions. The theoretical part will be taught mostly through lectures, including numerous sessions for activities and problem-solving, doubt resolution, and debate, in which active student participation will be taken into account. The practical part will be conducted in the computer lab, utilizing computers for the development of these sessions. During these sessions, various practical exercises will be carried out to reinforce the knowledge covered in theory. In addition to this, independent student work is fundamental, meaning an individualized study of the course content.
Teaching methodologies

Teaching Methodologies

M1a: Large Group Instruction: This includes lectures, the presentation of theory and general examples, and conferences.

M2a: Small Group Instruction: This involves seminars, debates, practical activities, and clarification of doubts.

Training activities

Training Activities

Activities

Hours

Relative Weight (%)

On-site/Synchronous Presence (%)

A1a. Large Group Activities

112.5

75

40

A2a. Small Group Activities

37.5

25

40

 





ASSESSMENT METHODOLOGY
Assesment systems (specific)
ASPECT CRITERIA INSTRUMENT WEIGHT
Attendance and/or participation in face-to-face and/or virtual activities     0.0%
Theoretical concepts of the subject Mastery of the theoretical and practical knowledge of the subject Exam (objective test with theoretical questions and practical exercises) 80.0%
Completion of assignments, cases, or exercises     0.0%
Laboratory/field practices/use of ICT tools Mastery of the software used, proper application of techniques, and interpretation of results Solving practical cases using a computer 20.0%

For the evaluation of theory, a test will be conducted during the official examination periods, which will account for 80% of the final grade. The acquisition of skills HD03 and HD04 will be assessed.

For the evaluation of the practical component, a continuous assessment of student learning will be carried out, which will account for 20% of the final grade. The acquisition of skills HD03 and HD04 will be assessed.

The grade obtained from the practical component during the academic period may be retained for the official examinations of the same academic year.

The overall grade will correspond to the weighted score of the different aspects and activities that comprise the evaluation system. It should be noted that, to pass the course, a minimum grade of 5 out of 10 must be obtained.

For the final assessment of student knowledge, the entirety of the work completed throughout the course (exercise resolution, assignment presentation, participation in voluntary activities, etc.) will be meticulously reviewed. This section may serve to adjust the final grade, provided it exceeds 4.5 and does not surpass the maximum possible score.

Assesment systems

Sistemas de evaluación

Porcentaje (%) Ponderación Mínima

Porcentaje (%) Ponderación Máxima

S1a. Asistencia en actividades presenciales y/o virtuales

0.0

40.0

S2a. Participación en actividades presenciales y/o virtuales

0.0

40.0

S3a. Examen sobre los conceptos teóricos y prácticos de la materia

0.0

80.0

S4a. Realización de trabajos, casos o ejercicios prácticos

0.0

80.0





BIBLIOGRAPHY
Bibliografía
  1. Operations Research: An Introduction . Autor: Taha, Hamdy A.. Editorial: Pearson.(C. Biblioteca)


  2. Introduction To Operations Research . Autor: Hillier; Fredrerick S.. Editorial: McGraw Hill Education.(C. Biblioteca)


  3. Decision Making For Leaders: The Analytic Hierarchy Process For Decisions In A Complex World. Autor: Saaty, Thomas L.. Editorial: University of Pittsburgh.(C. Biblioteca)


  4. Operations Research : A Model-Based Approach . Autor: Eiselt, Horst A.. Editorial: Springer Berlin Heidelberg.(C. Biblioteca)
Bibliografía complementaria
  1. Linear Programming. Edición: (Springer). Autor: George?B.?Dantzig & Mukund?N.?Thapa.


  2. Introduction To Quantitative Methods In Business: With Applications Using Microsoft Office Excel. Edición: Wiley. Autor: Bharat?Kolluri, Michael?J.?Panik, Rao?Singamsetti.


  3. Quantitative Methods For Business. Edición: 9ª ed., Thomson. Autor: David?R.?Anderson.


  4. Quantitative Methods For Business, Management And Finance. Edición: 2ª ed., Palgrave Macmillan. Autor: Louise?Swift & Sally?Piff.


  5. Linear And Integer Programming Made Easy. Edición: Springer, 1ª ed. 2016. Autor: T.?C.?Hu & Andrew?B.?Kahng.




SUSTAINABLE DEVELOPMENT GOALS
Goal 4. Quality Education.
Goal 5. Gender Equality.
Additional information
In a cross-cutting manner, the Sustainable Development Goals (SDGs) are integrated and addressed in both theoretical and practical content, particularly fulfilling the following objectives: SDG 4. Quality Education: Ensure inclusive and equitable quality education and promote lifelong learning opportunities for all. (Target 4.4: By 2030, substantially increase the number of youth and adults who have relevant skills, including technical and vocational skills, for employment, decent jobs, and entrepreneurship). SDG 5. Gender Equality: Achieve gender equality and empower all women and girls. (Target 5.b: Enhance the use of enabling technology, in particular information and communications technology, to promote the empowerment of women)




CLAUSES
Data protection clause for class recordings

Person in charge: Universidad de Jaén, Paraje Las Lagunillas, s/n; Tel.953 212121; www.ujaen.es

Data protection delegate (DPO): TELEFÓNICA, S.A.U. ; Email: dpo@ujaen.es

Procedure aim: To manage proper recordings of teaching sessions with the aim of facilitating learning process under a multimodal and/or online teaching

Period for record storage: Images will be kept during legal term according to regulations in force

Legitimacy: Data will be managed according to legal regulations (Organic Law 6/2001, December 21, on Universities) and given consent provided by selecting corresponding box in legal admission documents

Data recipients (transfers or assignments): Any person allowed to get access to every teaching modality

Rights: You may exercise your rights of access, rectification, cancellation, portability, limitation of processing, deletion or, where appropriate, opposition. To exercise these rights, you must submit a written request to the Information, Registration and Electronic Administration Service of the University of Jaen at the address above, or by e-mail to the address above. You must specify which of these rights you are requesting to be satisfied and, at the same time, you must attach a photocopy of your ID card or equivalent identification document. In case you act through a representative, legal or voluntary, you must also provide a document that proves this representation and identification. Likewise, if you consider that your right to personal data protection has been violated, you may file a complaint with the Andalusian Data Protection and Transparency Council www.ctpdandalucia.es

Data protection clause for online assessment

Institution in charge of data processing: Universidad de Jaén, Campus Las Lagunillas, s/n, 23071 Jaén

Data Protection Delegate: dpo@ujaen.es

Purpose: In accordance with the Universities Law and other national and regional regulations in force, carrying out exams and assessment tests corresponding to the courses students are registered in. In order to avoid frauds while sitting the exam, the exam will be answered using a videoconference system, being able the academic staff of the University of Jaén to compare and contrast the image of the person who is answering the exam with the student's photographic files. Likewise, in order to provide the exam with evidential content for revisions or claims, in accordance with current regulation frameworks, the exam will be recorded and stored.

Legitimacy: compliance with legal obligations (Universities Law) and other national and regional regulations currently in force.

Addressees: service providers who are the owners of the platforms where the exams are carried out and with whom the University of Jaén has signed the corresponding data access contracts.

Storage periods: those established in current in force regulations. In the specific case of exam videoconference recordings, not before the examination records and transcripts are closed or the exam can still be reviewed or challenged.

Rights: you can exercise your right of access, amendment, cancellation, opposition, suppression, limitation and portability by sending a letter to the postal or electronic address indicated above. In the event that you consider that your rights have been violated, you may submit a complaint to the Andalusian Council for Transparency and Data Protection www.ctpdandalucia.es