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Title:Stohastični modeli enokanalnih čakalnih vrst v logistiki pri poljubni distribuciji zaključkov časov strežbe
Authors:ID Radić, Ivana (Author)
ID Dragan, Dejan (Mentor) More about this mentor... New window
Files:.pdf UNI_Radic_Ivana_2013.pdf (2,14 MB)
MD5: D4AB8E2F618DDCAB40B66D68BC73078A
 
Language:Slovenian
Work type:Bachelor thesis/paper
Typology:2.11 - Undergraduate Thesis
Organization:FL - Faculty of Logistic
Abstract:V diplomskem delu so predstavljene temeljne lastnosti teorije množične strežbe in čakalnih vrst. V prvem delu diplomske naloge so izpeljani osnovni pojmi enokanalnih čakalnih vrst modela M/M/1 in Pollaczek – Khintchine - ova formula za model tipa M/G/1. Pri M/M/1 je tako vhodni kot izhodni tok zahtev oz. strank porazdeljen po eksponentnem porazdelitvenem zakonu, medtem, ko je pri M/G/1 vhodni tok porazdeljen po Poissonovem procesu, zaključki časov strežbe pa so porazdeljeni po nekem splošnem porazdelitvenem zakonu. V drugem delu diplomske naloge je princip delovanja ponazorjen na simulacijskem primeru, ki je bil izveden s pomočjo programskega orodja Matlab. Analizirali smo pretok strank na pošti, kjer so bili zaključki časov strežbe porazdeljeni po normalni porazdelitvi. Prikazali smo tudi, kako lahko spremembe pri dolžini zaključkov časov strežbe vplivajo na celoten sistem.
Keywords:množična strežba, enokanalne čakalne vrste, M/M/1, M/G/1, Pollaczek – Khintchin formula.
Place of publishing:Celje
Publisher:[I. Radić]
Year of publishing:2013
PID:20.500.12556/DKUM-41361 New window
UDC:656:519.8(043.2)
COBISS.SI-ID:512527165 New window
NUK URN:URN:SI:UM:DK:LDAAIP7K
Publication date in DKUM:17.10.2013
Views:2346
Downloads:273
Metadata:XML DC-XML DC-RDF
Categories:FL
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Secondary language

Language:English
Title:Stohastic models of the single-channel gueues in logistics with general service-time distribution
Abstract:In diploma thesis there are presented basic elements of the Queueing theory and waiting lines. In the first part we derived basic formulae for the M/M/1 model where service – time distribution is exponential and secondly, we derived the Pollaczek – Khintchin formula for the M/G/1 model where we have Poisson input process and some general service – time probability distribution. The basic formula of discussed queueing system on the simulation example was represented in the second part of the research. The derived formulae were implemented by Matlab software. We analyzed the flow of the costumers at the Post office where the service – time distribution was Gaussian. The impact of changing the length of service time on the entire system was also represented.
Keywords:Queueing theory, single – channel queueing system, M/M/1 model, M/G/1 model, Pollaczek – Khintchin formula.


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