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Journal of Mining Sciences

2019 year, number 1

Linear Model of Location Optimization Exploitation and Consumption of Limestone on the Example of Macedonia

T. Bosevski1, S. Vujic2, M. Radosavljevic2, M. Kuzmanovic3
1Rudproekt Skopje, Scopje, 100 Macedonia
2Mining Institute Belgrade, Belgrade, 11080 Serbia
3University Belgrade, Belgrade, 11000 Serbia
Keywords: Добыча, потребление, известняк, линейная модель, ограничивающие факторы, Optimization, linear location model, linear programming, exploitation and consumption of limestone, Macedonia

Abstract

Predicting the consequences of changes in a system such as the system of exploitation and consumption of limestone is a problem that requires an adequate analytical approach and encompasses all the limiting factors, their performance, dependence, desirable and non-desirable changes, and completion of the set goal or multiple goals. Without forming the mathematical model and applying the adequate solving method, it is not possible to solve the problem on the optimal level. This paper shows the linear model of location exploitation optimization and consumption of limestone in Macedonia, with 29 production entities - open-pit mines, and two options of consumption entities, with 15 and 16 lime consumers. By changing one of the starting presumptions, the number of consumers, the research shows that mathematical model approach with adequate sensitivity to changes of relative parameters is necessary for a complete and reliable overview of system behavior.