Optimizacija proizvodnje primjenom linearnog programiranja simpleks metodom

master's thesis

• Author: Jelena Diklić
• Mentor: Dubravko Banić (mentor)
• Committee member: Stanislav Bolanča (član povjerenstva)
• Committee member: Dubravko Banić (član povjerenstva)
• Committee member: Ana Nemec (član povjerenstva)
• Granter: University of Zagreb; Faculty of Graphic Arts; Zagreb
• Defense date and country: 2012-9-13, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Graphic Technology

Abstract

Metode optimizacije omogućuju traţenje najpovoljnijeg rješenja različitih proizvodnih problema. Promjena u proizvodnom procesu je odreĎeni reinţenjering. U procesu proizvodnje najčešće se nastoji optimizirati vrijeme, sirovina ili rad s ciljem ostvarenja optimalne dobiti, pa se u tu svrhu primjenjuju različite metode linearne optimizacije, a najčešće korištena je simpleks metoda.

Stoga je u ovom radu objašnjena primjena simpleks metode u funkciji optimizacije proizvodnog procesa na primjeru proizvodnje dvaju knjigoveških proizvoda, meko uvezane knjige te tvrdo uvezane knjige šivane koncem preko hrpta knjiţnog bloka.

U teoretskom dijelu rada je prikazan cjelokupni proizvodni procesa tvrdog i mekog uveza knjiga. Ova dva proizvoda imaju jednak proces proizvodnje knjiţnog bloka, ali se razlikuju po izradi korica i načinu uveza.

U eksperimentalnom dijelu rada je prikazana optimizacija proizvodnje na primjerima dvije ilustrirane slikovnice opsega knjiţnog bloka 48 stranica.

Prije matematičkog postupka optimiziranja potrebno je izračunati ukupne kapacitete proizvodnje za pojedini proizvod.

Dobiveni rezultati prikazuju optimalan odnos proizvodnje dvaju proizvoda na dvije proizvodne linije koje će dati maksimalni profit unutar zadanih ograničenja (kapaciteti strojeva, potraţnja na trţištu).

Abstract (english)

Optimization method allows you to search the best solution of various production problems. Changes in the production process is to reengineering. The production process is usually trying to optimize time, resources or work in order to achieve optimal profit, for this purpose, use differing methods of linear optimization, and often used the simplex method.

Therefore, this paper explains the application of the simplex method in function optimization of the production process on the example of production two bookbinding production, perfect binding and hardcovers books sewn across the ridge at the end of the book block.

In the theoretical part of the paper presents the entire manufacturing process of hard and soft paperback books. These two products have the same production process book section, but differ in the way of making a crust, and binding.

In the experimental part of the paper presents optimization of production at two examples illustrated picture book section volume 48 pages.

Before a mathematical optimization procedure is necessary to calculate the total production capacity for each product.

The results show an optimal ratio of production of two products on two production lines that will give the maximum profit within given constraints (machine capacity, market demand).

• Keywords: Knjigoveška proizvodnja; linearna optimizacija; simpleks metoda
• Keywords (english): Bookbinding production; linear optimization; the simplex method
• Language: croatian
• URN:NBN: urn:nbn:hr:216:908056
• Study programme: Title: Graphic technology; specializations in: Graphic technology, Design of graphic products; Course: Graphic technology; Study programme type: university; Study level: graduate; Academic / professional title: sveučilišni/a magistar/magistra inženjer/inženjerka grafičke tehnologije (sveučilišni/a magistar/magistra inženjer/inženjerka grafičke tehnologije)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2024-04-18 18:24:49