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Describing and modelling the flow of the migration process with simple queueing systems.
Linnaeus University, Faculty of Technology, Department of Mathematics. Migrationsverket.
2018 (English)Independent thesis Basic level (degree of Bachelor), 180 HE creditsStudent thesis
Abstract [en]

 The aim of this thesis is to apply M/M/1 and M/M/2 queueing system models

to student and working visas applicants. From empirically observed arrival times and

departure times, the arrival and service intensities are estimated. It is obtained that

the estimated service intensities are essentially double for the M/M/1 queueing model

compared to the M/M/2 model. Hence, the estimated trac intensities, as they are

dened in this thesis, are almost the same here, and close to one. Furthermore, the

empirical distribution of the time in the system for the student visas seems to be

surprisingly well approximated by the theoretical ones obtained from the M/M/1 and

M/M/2 models.

The total time in the system for the two models are almost the same, while for

the M/M/2 model the service times are about the double of the service times of the

M/M/1 model which is compensated by shorter waiting times for the M/M/2 queue.

Therefore, there is a struggle in modelling between having a quicker service time with

less servers or a shorter waiting time period with more servers.

Modelling of the total time in the system, which is the important time for the

applicant and is as well the observed one, seems to be indierent to whether it is

M/M/1 modelling or M/M/2 modelling. That indierence is explained by the fact

that the estimated trac intensity is close to one.

A major consideration is that there is a \wall" eect of the data. The \wall" eect

arises from the ratio of the uncompleted and completed changes towards the end of

year 2017. In this thesis the \wall" eect is resolved by removing the last data.

2

Place, publisher, year, edition, pages
2018.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:lnu:diva-76540OAI: oai:DiVA.org:lnu-76540DiVA, id: diva2:1229262
External cooperation
Migrationsverket- Haidar Al Talibi
Supervisors
Examiners
Available from: 2018-07-02 Created: 2018-06-29 Last updated: 2018-07-02Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf