In recent years significant number Croatian people decided to emigrate. Emigration population is ... more In recent years significant number Croatian people decided to emigrate. Emigration population is mostly of younger age. Main reason were better opportunities at the labour market. Migration, with fertility and mortality, is one of the most significant determinants of future population structure. Purpose of our research is to assess effect of those determinants on population structure of Croatia. In our research, we used cohort-component analysis to create population projections. Change of Croatian population components are projected separately for each birth cohort (oneyear groups) using past trends of fertility rates. For each year, up to 2045, the population is aging using age-specific mortality rates, estimated migration population. Main source of the data is Croatian bureau of statistics (DZS), specially their publications: Census of population, households and dwellings in 2011 and Population projections of the Republic of Croatia, 2010-2061. Results of the analysis demonstrate impact of change in negative migration change, fertility rates and mortality rates on structure. i.e. quantification of the impact. Emigration, previously underestimated, has significant impact to the population structure. From the perspective of sensitivity analysis, this determinant is potentially has the largest negative impact on population. Official Projections can give misleading information about the future. The impact can be viewed from economic perspective, as a loss of highly trained workers, or also from social perspective, e.g. children left behind grow up without parents or in other case without a wider family circle. Awareness about the demographic changes is first step to make appropriate policy actions.
Goal of our research is to present a method for selection of a group of students. The selected gr... more Goal of our research is to present a method for selection of a group of students. The selected group of students is supposed to receive additional teaching attention in order to improve their performance in the course. Guiding line used, for the group selection, is: value of an action is proportional to the benefit that produces to a customer. In our case customers are students. The selection method is based on multinomial logistic regression, Poisson-type discrete variables modelling the number of points achieved in a term exam, and transition probability matrix. We use data of a study progress during monitoring program in an undergraduate mathematical course. Demographic data and other attributes about previous performance were not included in the analyses. In the first part of the paper we present methodology, while in the second part we introduce data used for demonstration of the proposed method. At the end of the paper, an individual approach for the final selection is proposed. Criteria for selection is clear: increased probabilities of obtaining desired final grade for a student. Weighing of criteria is subjective depending on the goals of the decision makers.
Sažetak Naručitelji su u postupcima javne nabave obvezni odabrati ekonomski najpovoljniju ponudu.... more Sažetak Naručitelji su u postupcima javne nabave obvezni odabrati ekonomski najpovoljniju ponudu. Model za odabir ekonomski najpovoljnije ponude objavljuje su u sklopu dokumentacije o nabavi te je isti poznat gospodarskim ponuditeljima prije sastavljanja ponuda. U ovom radu autor se osvrće na tip modela koji se najčešće koristi pri takvom odabiru te kroz primjer pokazuje postavljanje modela i rangiranje ponuda kao i neka svojstva postavljenog modela.
Rad ima nekoliko ciljeva: izraditi matematicku karakterizaciju dijagrama poslovnih procesa, defin... more Rad ima nekoliko ciljeva: izraditi matematicku karakterizaciju dijagrama poslovnih procesa, definirati mjere kompleksnosti grafa i njegovih dijelova, na temelju mjera kompleksnosti opisati proces i identificirati aktivnosti koje bi mogle povecati rizik od neuspjesnog izvrsenja i prikazati metodologiju na primjeru. U prvom dijelu opisujemo motivaciju uvođenja nove metodologije koja može biti izvor novih informacija korisnih pri provođenju poslovnih procesa. U drugom dijelu rada se opisuju osnove upravljanja rizicima, kao podrucje u sklopu kojeg se razmatra uvođenje nove metodologije korisne za dobivanja informacija o rizicima u provođenju poslovnih procesa. U trecem dijelu osvrcemo se na modeliranje poslovnih procesa i ukratko opisujemo aktualne standarde modeliranja poslovnih procesa. U cetvrtom dijelu predstavljamo osnove teorije grafova i navodimo problem strukturne ispravnosti modela poslovnih procesa te predlažemo nacin pretvaranja dijagrama poslovnog procesa u matematicki graf....
In this paper we describe the mathematical foundations of the Google’s PageRank algorithm. We exp... more In this paper we describe the mathematical foundations of the Google’s PageRank algorithm. We explain two methods used by the algorithm. The first one, the method of powers, is an iterative method. The secondmethod is founded on solving a system of linear equations. Both methods are related to the problem of finding an eigenvector of the dominant eigenvalue of the corresponding matrix. Functioning of the algorithm is illustrated on a small example of four web pages.
Goal of our research is to present a method for selection of a group of students. The selected gr... more Goal of our research is to present a method for selection of a group of students. The selected group of students is supposed to receive additional teaching attention in order to improve their performance in the course. Guiding line used, for the group selection, is: value of an action is proportional to the benefit that produces to a customer. In our case customers are students. The selection method is based on multinomial logistic regression, Poisson-type discrete variables modelling the number of points achieved in a term exam, and transition probability matrix. We use data of a study progress during monitoring program in an undergraduate mathematical course. Demographic data and other attributes about previous performance were not included in the analyses. In the first part of the paper we present methodology, while in the second part we introduce data used for demonstration of the proposed method. At the end of the paper, an individual approach for the final selection is propose...
U radu se ukratko opisuju odredbe vezane uz odabir ponude prema važecem Zakonu o javnoj nabavi, D... more U radu se ukratko opisuju odredbe vezane uz odabir ponude prema važecem Zakonu o javnoj nabavi, Direktivi 2014/24/EU Europskog parlamenta i Vijeca od 26. veljace 2014. o javnoj nabavi i o stavljanju izvan snage Direktive 2004/18/EZ te Nacrtu prijedloga novog Zakona. Ocekivane promjene trebale bi imati znacajan utjecaj na praksu provedbe postupaka javne nabave u Republici Hrvatskoj.
Demografske promjene znacajno su utjecale na razvoj drustva i formiranje sustava država kakav tre... more Demografske promjene znacajno su utjecale na razvoj drustva i formiranje sustava država kakav trenutacno postoji. Njihov ce utjecaj na razvoj i održivost drustvenih sustava u buducnosti ostati znacajan. Osvjestavanje predstojecih demografskih promjena prvi je korak uspjesne prilagodbe. U radu predstavljamo formule za opis strukture stanovnistva i formule za izradu projekcija. Na primjeru prikazujemo neke rezultate projekcija uz provjeru osjetljivosti na promjene u migracijama i fertilitetu. Cilj rada je podici sposobnost koristenja matematickog modeliranja za potrebe izrade demografskih modela, sto bi se moglo iskoristiti u nastavi matematike ili u druge strucne svrhe.
Narucitelji su u postupcima javne nabave obvezni odabrati ekonomski najpovoljniju ponudu. Model z... more Narucitelji su u postupcima javne nabave obvezni odabrati ekonomski najpovoljniju ponudu. Model za odabir ekonomski najpovoljnije ponude objavljuje su u sklopu dokumentacije o nabavi te je isti poznat gospodarskim ponuditeljima prije sastavljanja ponuda. U ovom radu autor se osvrce na tip modela koji se najcesce koristi pri takvom odabiru te kroz primjer pokazuje postavljanje modela i rangiranje ponuda kao i neka svojstva postavljenog modela.
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