Mathematical Methods in Industrial Management (5 cr)

Objective

The student understands the oppportunities of analyticals methods in modelling industrial management phenomena. The student can use the methods in simple situations.

Content

Business mathematics, Queues, series,
Matrices
Linear programming, network models
Queueing models

Content scheduling

Kurssi jakautuu 4-5 erilliseen aihealueeseen:
Talousmatematiikka:
-Korkolasku: Yksinkertainen, koronkorko ja jatkuva korkolasku
-Relatiivinen ja konforminen korko
-Diskonttaus ja investointilaskelmia
-Jonot ja sarjat korkolaskun tarpeisiin
-Jaksolliset suoritukset: Alkuarvo, loppuarvo, annuiteettilaina
-Inflaation huomioiminen jaksollisisssa suorituksissa
-Todellisen vuosikoron laskeminen

Matriisilasku
-matriisilaskun perusteet, laskutoimitukset, matriisitulo
-matriisitulon sovellukset, kuvankäsittelyesimerkki
-Käänteismatriisi ja matriisiyhtälö sen avulla
-Matriisisovelluksia kuten Markov

Lineaarinen optimointi.
-Kahden muuttujan optimointi graafisena ratkaisuna
-herkkyysanalyysi
-Monen muuttujan ongelmia Excelin Solverilla
-Kuljetusongelma ja allokointiongelma

Verkkomallit
-verkkomalleja ratkaistaan optimointiongelmana
-Minimi virittäjäpuu
-Lyhyin polku
-Maksimivirtaus
-CPM

Jonotusmallit
-jonomalleihin liittyvät peruskäsitteet
-Jonojakaumat Poisson ja eksponentiaalijakauma
-Jonoihin liittyviä laskuja lähinnä M/M/1 ja M/M/2.
-ideaa jonosimulaattorista
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Evaluation scale

0-5

Assessment criteria, satisfactory (1)

The student has achieved the course objectives fairly. Students will be able to identify, define and use the concepts and models in the subject area. The student understands the criteria and principles of the expertise development.

Assessment criteria, good (3)

The student has achieved the course objectives well, even though the knowledge and skills need improvement in some areas. The student is able to define the course concepts and models and is able to justify the analysis. The student is able to apply the knowledge in study and work situations in the own field. The student understands the importance of expertise in the field of business and is able to analyze his/her own expertise.

Assessment criteria, excellent (5)

The student has achieved the objectives of the course with excellent marks. The student masters commendably the concepts and models in the course. The student is able to make justified and fluent analysis and to present concrete development measures. The students are well prepared to apply their knowledge in study and work situations. Students are able to analyze the business sector expertise and the evolvement of their own expertise.

Assessment criteria, approved/failed

The student has achieved the course objectives fairly. Students will be able to identify, define and use the concepts and models in the subject area. The student understands the criteria and principles of the expertise development.