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Syllabus 2023-24 - 13012018 - Quantitative Methods (Métodos cuantitativos)

Caption
  • Level 1: Tutorial support sessions, materials and exams in this language
  • Level 2: Tutorial support sessions, materials, exams and seminars in this language
  • Level 3: Tutorial support sessions, materials, exams, seminars and regular lectures in this language
DEGREE: Grado en Ingeniería de organización industrial (13012018)
FACULTY: SCHOOL OF ENGINEERING OF JAÉN
DEGREE: Doble grado en Ingeniería mecánica e Ingeniería de organización industrial (13812024)
FACULTY: SCHOOL OF ENGINEERING OF JAÉN
ACADEMIC YEAR: 2023-24
COURSE: Quantitative Methods
SYLLABUS
1. COURSE BASIC INFORMATION
NAME: Quantitative Methods
CODE: 13012018 (*) ACADEMIC YEAR: 2023-24
LANGUAGE: English LEVEL: 1
ECTS CREDITS: 6.0 YEAR: 3 SEMESTER: PC
2. LECTURER BASIC INFORMATION
NAME: JIMÉNEZ LÓPEZ, JOSÉ DOMINGO
DEPARTMENT: U112 - ESTADISTICA E INVESTIGACIÓN OPERATIVA
FIELD OF STUDY: 265 - ESTADÍSTICA E INVESTIGACIÓN OPERATIVA
OFFICE NO.: B3 - 073 E-MAIL: jdomingo@ujaen.es P: 953212816
WEBSITE: http://www4.ujaen.es/~jdomingo/
ORCID: https://orcid.org/0000-0003-1263-5508
LANGUAGE: - LEVEL: 1
3. CONTENT DESCRIPTION

Theoretical Contents

Topic 1. Introduction to Operations Research

  1. Origin and historical development of Operations Research
  2. Aspects defining Operations Research
  3. Classification of Operations Research problems
  4. Formulation of problems and models

Topic 2. Linear Programming

  1. Introduction
  2. Problem statement
  3. Interpretation and graphical resolution
  4. Convex sets
  5. Properties of the solution of the linear programming problem.

Topic 3. The Simplex Method

  1. Introduction
  2. Simplex algorithm
  3. Methods for locating an initial basic solution
  4. The Simplex method revised

Topic 4. The Dual Problem

  1. The Dual Problem
  2. Duality Theorems
  3. Economic interpretation of the dual problem
  4. The Dual Simplex Algorithm
  5. Sensitivity analysis

Topic 5. Integer Programming

  1. The integer linear programming problem
  2. Methods of solving integer linear programming problems: searching methods.
    1. Branching and dimensioning methods. Dakin's algorithm
    2. Binary programming. Enumeration algorithm
  3. Methods of solving integer linear programming problems: cutting methods.
    1. Gomory's fractional algorithm.
    2. Mixed Gomory algorithm.

Topic 6. Queueing Theory

  1. Elements of a queuing system
  2. Classification of queuing systems. Kendall's notation
  3. Performance measures of a queuing system
  4. Unlimited capacity queuing models M/M/1 and M/M/s
  5. Queueing models with limited capacity M/M/1/K and M/M/s/K
  6. Other queuing models

Topic 7. Introduction to Simulation

  1. Basic concepts
  2. Uniform pseudo-random number generation in (0,1)
  3. Universal methods for the simulation of continuous random variables
  4. Universal Methods for Simulating Continuous Random Variables
  5. The Monte Carlo method

Practical contents

  1. Solving problems with the Simplex and Dual Method
  2. Solving linear and integer programming problems
  3. Solving Queueing Theory problems
  4. Solving Simulation problems
  5. Programming and implementation of problems in GLPK

 

4. COURSE DESCRIPTION AND TEACHING METHODOLOGY

Large group lectures:

  • Lectures
  • Presentation of theory and general examples
  • Resolution of exercises

Classes in practice groups

  • Exercise resolution
  • Computer exercises

Students with special educational needs should contact the Student Attention Service (Servicio de Atención y Ayudas al Estudiante) in order to receive the appropriate academic support

5. ASSESSMENT METHODOLOGY

With the exposition of work and problem solving, the competences CB2R, CB3R, CB4R and CB5R, and above all, COG4 and CT4 are evaluated. In addition, this activity is related to learning outcomes 47-51.

With the written exam on theoretical and practical questions the competences COG4 and CT4 are evaluated, and this activity is related to learning outcomes 46,47, 49-51.

6. BOOKLIST
MAIN BOOKLIST:
  • Linear programming . Edition: -. Author: Dantzig, George B.. Publisher: Springer  (Library)
  • Linear Programming Using MATLAB®. Edition: 1st ed. 2017.. Author: Ploskas, Nikolaos. author.. Publisher: Springer International Publishing  (Library)
  • Queueing Theory and Network Applications. Edition: 1st ed. 2016.. Author: van Do, Tien. editor.. Publisher: Springer International Publishing  (Library)
  • Introduction to Queueing Theory [electronic resource] : Modeling and Analysis in Applications . Edition: 2nd ed. 2015.. Author: Bhat, U. Narayan. author.. Publisher: Birkhäuser Boston  (Library)
  • Simulation and the Monte Carlo method . Edition: 2nd ed.. Author: Rubinstein, Reuven Y.. Publisher: Wiley-Interscience  (Library)
7. VIRTUAL / CLASSROOM TEACHING SCENARIO

TEACHING METHODOLOGY AND TRAINING ACTIVITIES

 

Training Activities

Format (face-to-face/online)

Teaching methodology Description

A1 Classes
large group lectures

Face-to-face 100% (*)

Class to all the students of the group in the assigned timetable and classroom.

They will consist of theoretical and practical classes on the contents of the course. 

A2 Small group classes

Rotating attendance
50% (**)

Class at the time and in the classroom assigned to part of the group and
part of the group and retransmission by videoconference
videoconference to the rest, with periodic rotation of students, as determined by the Center. They will consist of practical sessions of problem solving/exercises, of one hour duration each, developed in the classroom and retransmitted by videoconference to the rest of the group, provided that the audiovisual means of the classroom allow it. Periodic rotation of students.

    (*) he Center may establish a different percentage of attendance depending on the number of students and the capacity of the classroom/laboratory.
number of students and the capacity of the classroom/laboratory.
(**) The Center may establish rotating attendance depending on the number of students and classroom/lab
students and classroom/laboratory capacity (class at the time and in the
assigned to a part of the group and retransmission by videoconference to the rest, with periodical
videoconference to the rest, with periodic rotation of students, as determined by the Center).

EVALUATION SYSTEM

 

Ordinary call

Evaluation test

Format (face-to-face/online synchronous or asynchronous)

Description

Percentage

Continuous Assessment Activities

On-site

Online evaluation tests on different theoretical contents/ Performance of expository work, proposed...

40%

Theory exam

On-site

Resolution of practical exercises related to different theoretical contents.

60%

 

Extraordinary call

Evaluation test

Format (face-to-face/online synchronous or asynchronous)

Description

Percentage

Continuous Assessment Activities

On-site

Evaluation tests on different theoretical contents. Exposition work, proposed exercises...  The grade obtained in this part in the ordinary call, can be kept for the extraordinary calls.

40%

Theory exam

On-site

Resolution of practical exercises related to different theoretical contents.

60%

 

The student must be identified at all times through GSuite Meet (with camera and microphone connected).

Students who do not take the theory exam (60%) on the official date set by the center to which the degree program is assigned will be classified as NOT PRESENT. 

RESOURCES

For the development of online teaching:

  • Virtual rooms (GSuite Meet, Big Blue Button, Adobe Connect, ...).
  • PLATEA platform.
  • UJA virtual PCs.

 

For online evaluation:

  • GSuite Meet.
  • Online tests through the PLATEA platform.
  • UJA virtual PCs.

8. VIRTUAL TEACHING SCENARIO

 

TEACHING METHODOLOGY AND TRAINING ACTIVITIES

 

Training Activities

Format (face-to-face/online)

Teaching methodology Description

45 Theory sessions on the contents of the program

Non-attendance

45 one-hour participative master class sessions, conducted by videoconference or asynchronously.

10 Problem solving/exercise sessions

Non-attendance

It will consist of 10 synchronous/asynchronous online sessions, each lasting one hour.

5 Practical sessions in the computer classroom

Non-attendance

It will consist of 5 synchronous/asynchronous online sessions, each lasting one hour, where you will practice with the corresponding statistical software.

Tutorials

Nom-attendance

All tutoring sessions will be conducted online (synchronous and asynchronous).

 

EVALUATION SYSTEM

 

Ordinary call

Evaluation test

Format (face-to-face/online synchronous or asynchronous)

Description

Percentage

Continuous Assessment Activities

Non-attendance

Online evaluation tests on different theoretical contents/ Performance of exposition works, proposals,...

40%

Theory exam

Non-attendance

Resolution of practical exercises through the PLATEA platform related to different theoretical contents.

60%

 

Extraordinary call

Evaluation test

Format (face-to-face/online synchronous or asynchronous)

Description

Percentage

Continuous Assessment Activities

Non-attendance

Online evaluation tests on different theoretical contents/ Performance of exposition works, proposed exercises,... The grade obtained in this part in the ordinary call, may be kept for the extraordinary calls.

40%

Theory exam

Non-attendance

Resolution of practical exercises through the PLATEA platform related to different theoretical contents.

60%

 

The student must be identified at all times through GSuite Meet (with camera and microphone connected).

Students who do not take the theory exam (70%) on the official date set by the center to which the degree program is assigned will be classified as NOT PRESENT.

 

RESOURCES

For the development of online teaching:

  • Virtual classrooms (GSuite Meet, Big Blue Button, Adobe Connect, ...).
  • PLATEA platform.
  • UJA virtual PCs.

For online evaluation:

  • GSuite Meet.
  • Online tests through the PLATEA platform.
  • UJA virtual PCs.

DATA PROTECTION CLAUSE (on line exams)

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

CLASS RECORDING CLAUSE PERSONAL DATA PROTECTION

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