Lyhyimpien reittien etsiminen muuttuvassa graafissa

Tämän tutkimuksen tarkoitus on selvittää, miten kannattaa käytännössä etsiä lyhyimpiä reittejä suuntaamattomassa graafissa, joka muuttuu vähitellen etsintöjen väleissä. Tutkielman konteksti on luoda todentuntuisia, suunnittelemattomalta vaikuttavia katuverkkoja graafin mallintamaan ympäristöön. Katu...

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Main Author: Kauko, Ilari
Other Authors: Informaatioteknologian tiedekunta, Faculty of Information Technology, Informaatioteknologia, Information Technology, Jyväskylän yliopisto, University of Jyväskylä
Format: Bachelor's thesis
Language:fin
Published: 2020
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/69161
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author Kauko, Ilari
author2 Informaatioteknologian tiedekunta Faculty of Information Technology Informaatioteknologia Information Technology Jyväskylän yliopisto University of Jyväskylä
author_facet Kauko, Ilari Informaatioteknologian tiedekunta Faculty of Information Technology Informaatioteknologia Information Technology Jyväskylän yliopisto University of Jyväskylä Kauko, Ilari Informaatioteknologian tiedekunta Faculty of Information Technology Informaatioteknologia Information Technology Jyväskylän yliopisto University of Jyväskylä
author_sort Kauko, Ilari
datasource_str_mv jyx
description Tämän tutkimuksen tarkoitus on selvittää, miten kannattaa käytännössä etsiä lyhyimpiä reittejä suuntaamattomassa graafissa, joka muuttuu vähitellen etsintöjen väleissä. Tutkielman konteksti on luoda todentuntuisia, suunnittelemattomalta vaikuttavia katuverkkoja graafin mallintamaan ympäristöön. Katuverkko helpottaa olennaisesti kulkua paikoista toisiin ja se muodostuu vähitellen, joten graafin muuttuminen on tarkemmin ainoastaan kaarten pituuksien pienenemistä. Käsiteltäviä algoritmeja lyhyimmän reitin etsimiseen ovat Dijkstra, sen laajennokset ja ainakin teoriassa kilpailukykyinen niin kutsuttu PR-algoritmi. This thesis surveys how to practically implement repetitive shortest path seeking in an undirected graph which changes incrementally between the seekings. The context of the thesis is to create apparently truthful and unplanned city street networks in an environment modeled by the graph. More closely, since streets ease the paths following them, change of the graph is only shortening of its edges. The algorithms surveyed are Dijkstra's algorithm, its extensions and the so-called PR algorithm which is at least theoretically competitive.
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spellingShingle Kauko, Ilari Lyhyimpien reittien etsiminen muuttuvassa graafissa Tietotekniikka Mathematical Information Technology 602 matematiikka graafit algoritmit reitit kartat
title Lyhyimpien reittien etsiminen muuttuvassa graafissa
title_full Lyhyimpien reittien etsiminen muuttuvassa graafissa
title_fullStr Lyhyimpien reittien etsiminen muuttuvassa graafissa Lyhyimpien reittien etsiminen muuttuvassa graafissa
title_full_unstemmed Lyhyimpien reittien etsiminen muuttuvassa graafissa Lyhyimpien reittien etsiminen muuttuvassa graafissa
title_short Lyhyimpien reittien etsiminen muuttuvassa graafissa
title_sort lyhyimpien reittien etsiminen muuttuvassa graafissa
title_txtP Lyhyimpien reittien etsiminen muuttuvassa graafissa
topic Tietotekniikka Mathematical Information Technology 602 matematiikka graafit algoritmit reitit kartat
topic_facet 602 Mathematical Information Technology Tietotekniikka algoritmit graafit kartat matematiikka reitit
url https://jyx.jyu.fi/handle/123456789/69161 http://www.urn.fi/URN:NBN:fi:jyu-202005253414
work_keys_str_mv AT kaukoilari lyhyimpienreittienetsiminenmuuttuvassagraafissa