diplomsko delo

Abstract

Problem usmerjanja vozil s kapaciteto je NP-poln kombinatorični problem. Poleg njegove uporabnosti za dostavne službe se lahko nanj učinkovito preslika tudi veliko drugih problemov. Za reševanje problema uporabim rekurenčno nevronsko mrežo GRU z mehanizmom pozornosti. Po fazi učenja, ki traja toliko časa kot uporaba stohastičnih optimizacijskih algoritmov na več tisoč primerih, dobimo na majhnih grafih primerljivo dobre rezultate, na večjih grafih pa se zaradi povečevanja kompleksnosti problema nevronski model ne uči več dovolj hitro in je slabši. Med vložitvami grafov, ki sem jih preizkusil, dajeta najboljše rezultate node2vec in GraRep.

Keywords

nevronska mreža;kombinatorična optimizacija;problem usmerjanja vozil;vložitve grafov;računalništvo in informatika;univerzitetni študij;diplomske naloge;

Data

Language: Slovenian
Year of publishing:
Typology: 2.11 - Undergraduate Thesis
Organization: UL FRI - Faculty of Computer and Information Science
Publisher: [T. Ciglarič]
UDC: 004(043.2)
COBISS: 77579779 Link will open in a new window
Views: 300
Downloads: 41
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Other data

Secondary language: English
Secondary title: Graph search optimization using graph embeddings
Secondary abstract: The capacitated vehicle routing problem is an NP-complete combinatorial problem. In addition to its usefulness for delivery services, many other problems can be efficiently mapped to it. To solve the problem, I use the GRU recurrent neural network with the attention mechanism. After a learning phase that lasts as long as using stochastic optimization algorithms on thousands of cases, we get comparatively good results on small graphs. On larger graphs the neural models do not learn fast enough and produce worse results due to an increasing problem complexity. Among the tested graph embedding methods, node2vec and GraRep give the best results.
Secondary keywords: neural net;graph;combinatorial optimization;vehicle routing problem;graph embeddings;computer and information science;diploma;Računalništvo;Univerzitetna in visokošolska dela;
Type (COBISS): Bachelor thesis/paper
Study programme: 1000468
Embargo end date (OpenAIRE): 1970-01-01
Thesis comment: Univ. v Ljubljani, Fak. za računalništvo in informatiko
Pages: 29 str.
ID: 13345762