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master's thesis
Model proizvodnje i zaliha u nesavršenom proizvodnom procesu
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:214955
Mandić, Marina
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Mandić, M. (2015). Model proizvodnje i zaliha u nesavršenom proizvodnom procesu (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:214955

Mandić, Marina. "Model proizvodnje i zaliha u nesavršenom proizvodnom procesu." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:214955

Mandić, Marina. "Model proizvodnje i zaliha u nesavršenom proizvodnom procesu." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:214955

Mandić, M. (2015). 'Model proizvodnje i zaliha u nesavršenom proizvodnom procesu', Master's thesis, University of Zagreb, Faculty of Science, accessed 03 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:214955

Mandić M. Model proizvodnje i zaliha u nesavršenom proizvodnom procesu [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 November 03] Available at: https://urn.nsk.hr/urn:nbn:hr:217:214955

M. Mandić, "Model proizvodnje i zaliha u nesavršenom proizvodnom procesu", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:214955

Metadata
TitleModel proizvodnje i zaliha u nesavršenom proizvodnom procesu
AuthorMarina Mandić
MentorKristina Šorić (mentor)
Committee memberKristina Šorić (predsjednik povjerenstva)
Committee memberNikola Sarapa (član povjerenstva)
Committee memberNela Bosner (član povjerenstva)
Committee memberVedran Krčadinac (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-09-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu je razvijen model za određivanje optimalne razine parametra pouzdanosti proizvoda i stope proizvodnje kojima se postiže najveća ukupna dobit u nesavršenom proizvodnom procesu. Relaksiranjem pretpostavki klasičnog modela ekonomične količine proizvodnje, dobiven je model koji bolje opisuje stvarnost. U prvom poglavlju su objašnjeni pojmovi zaliha i upravljanja zalihama. Počevši od Harrisovog modela ekonomične količine nabave, naveden je kratak pregled literature i spoznaja koje su prethodile ovom modelu. U drugom poglavlju su navedene oznake i pretpostavke. Za razliku od klasičnog modela ekonomične količine proizvodnje, pretpostavlja se da proizvodni sustav osim proizvoda savršene kvalitete proizvodi i proizvode nesavršene kvalitete koji se dorađuju. Zato što potražnja u stvarnosti nije konstantna, pretpostavlja se rastuća funkcija potražnje. U trećem poglavlju je funkcija dobiti, koja uključuje inflaciju i vremensku vrijednost novca, maksimizirana Euler-Lagrangeovom metodom. Dobiveni su nužni i dovoljni uvjeti za optimalnost dinamičkih varijabli. Model je testiran na numeričkim primjerima u četvrtom poglavlju. U posljednjem poglavlju je iznesen zaključak.
Abstract (english)
This thesis develops a model to determine the optimal product reliability parameter and production rate that achieves highest total profit for an imperfect production process. A model that more accurately describes the reality is obtained by relaxing the assumptions of the classical model of economic production quantity. In the first chapter concepts of inventory and inventory management are explained. A brief literature survey from Harris’ economic order quantity model till nowadays is given. In the second chapter notations and assumptions are provided. In contrast to the classical model of economic production quantity, it is assumed that the production system produces not only perfect, but also imperfect quality items. Imperfect quality items are reworked at a cost. Increasing demand function is considered, because demand by the customers may vary with time. In the third chapter the profit function whit the effect of inflation and time value of money is maximized by Euler-Lagrange’s method. Necessary and sufficient conditions for optimality of dynamic variables are developed. The model is tested on numerical examples in the fourth chapter. The conclusion is given in the last chapter.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:214955
Study programmeTitle: Finance and Business Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2019-01-21 12:25:31