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Syllabus 2023-24 - 13012018 - Quantitative Methods (Métodos cuantitativos)
- 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 |
NAME: Quantitative Methods | |||||
CODE: 13012018 (*) | ACADEMIC YEAR: 2023-24 | ||||
LANGUAGE: English | LEVEL: 1 | ||||
ECTS CREDITS: 6.0 | YEAR: 3 | SEMESTER: PC |
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 |
Theoretical Contents
Topic 1. Introduction to Operations Research
- Origin and historical development of Operations Research
- Aspects defining Operations Research
- Classification of Operations Research problems
- Formulation of problems and models
Topic 2. Linear Programming
- Introduction
- Problem statement
- Interpretation and graphical resolution
- Convex sets
- Properties of the solution of the linear programming problem.
Topic 3. The Simplex Method
- Introduction
- Simplex algorithm
- Methods for locating an initial basic solution
- The Simplex method revised
Topic 4. The Dual Problem
- The Dual Problem
- Duality Theorems
- Economic interpretation of the dual problem
- The Dual Simplex Algorithm
- Sensitivity analysis
Topic 5. Integer Programming
- The integer linear programming problem
- Methods of solving integer linear programming problems:
searching methods.
- Branching and dimensioning methods. Dakin's algorithm
- Binary programming. Enumeration algorithm
- Methods of solving integer linear programming problems:
cutting methods.
- Gomory's fractional algorithm.
- Mixed Gomory algorithm.
Topic 6. Queueing Theory
- Elements of a queuing system
- Classification of queuing systems. Kendall's notation
- Performance measures of a queuing system
- Unlimited capacity queuing models M/M/1 and M/M/s
- Queueing models with limited capacity M/M/1/K and M/M/s/K
- Other queuing models
Topic 7. Introduction to Simulation
- Basic concepts
- Uniform pseudo-random number generation in (0,1)
- Universal methods for the simulation of continuous random variables
- Universal Methods for Simulating Continuous Random Variables
- The Monte Carlo method
Practical contents
- Solving problems with the Simplex and Dual Method
- Solving linear and integer programming problems
- Solving Queueing Theory problems
- Solving Simulation problems
- Programming and implementation of problems in GLPK
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
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.
- 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)
TEACHING METHODOLOGY AND TRAINING ACTIVITIES
Training Activities |
Format (face-to-face/online) |
Teaching methodology Description |
A1 Classes
|
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
|
Class at the time and in the classroom assigned to part of
the group and
|
(*) 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.
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.
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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
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