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master's thesis
Teorija redova čekanja
2022. urn:nbn:hr:126:819151
Crnobrnja, Tea
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

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Crnobrnja, T. (2022). Teorija redova čekanja (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:819151

Crnobrnja, Tea. "Teorija redova čekanja." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:819151

Crnobrnja, Tea. "Teorija redova čekanja." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:819151

Crnobrnja, T. (2022). 'Teorija redova čekanja', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 20 October 2024, https://urn.nsk.hr/urn:nbn:hr:126:819151

Crnobrnja T. Teorija redova čekanja [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2022 [cited 2024 October 20] Available at: https://urn.nsk.hr/urn:nbn:hr:126:819151

T. Crnobrnja, "Teorija redova čekanja", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:126:819151

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Metadata
TitleTeorija redova čekanja
Title (english)Queueing Theory
AuthorTea Crnobrnja
MentorDanijel Grahovac (mentor)
Committee memberNenad Šuvak (predsjednik povjerenstva)
Committee memberDanijel Grahovac (član povjerenstva)
Committee memberIvan Papić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2022-02-22, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Probability Theory and Statistics
Abstract
U svakodnevnom životu susrećemo se s raznim oblicima čekanja u redu. Teorija redova čekanja je grana matematike koja proučava kako se redovi formiraju, kako funkcioniraju te ima li problema u njihovom funkcioniranju. Cilj teorije redova čekanja je dizajniranje uravnoteženih sustava koji služe korisnicima brzo i učinkovito, ali ne koštaju previše da bi bili održivi. Na početku rada upoznali smo se s osnovnim pojmovima i oznakama potrebnim za razumijevanje rada. Bavili smo se sustavima oblika M/M/1 koje je karakterizirala činjenica da vremena dolaska i vremena usluge imaju eksponencijalnu distribuciju. Također smo se pozabavili i malo složenijim sustavima, odnosno sustavima M/G/1 i G/M/1. Teorijski dio smo, uz pomoć R paketa ”queueing” i ”queuecomputer”, primijenili na stvarne podatke.
Abstract (english)
In everyday life we encounter various forms of queues. Queueing theory is a branch of mathematics that studies how queues are formed, how they function, and are there problems in their functioning. The goal of queueing theory is to design balanced systems that serve customers quickly and efficiently, but do not cost too much to be sustainable. At the beginning of this paper, we were introduced to the basic concepts and notations needed to understand the paper. We dealt with M/ M/1 systems characterized by the fact that arrival times and service times have an exponential distribution. We also dealt with slightly more complex systems, namely M/ G/1 and G/M/1 systems. We applied the theoretical part, with the help of the R packages ”queueing” and ”queuecomputer”, to the actual data.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:819151
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2022-02-28 08:29:57