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Multiple criteria decision making (MCDM) is a supporting tool which is widely spread in different areas of science and industry. Many researchers have confirmed that MCDM methods can be useful for selecting the best solution in many different problems. In this paper, two novel methods are presented and applied on existing decision-making processes in the mining industry. The first method is multiple criteria ranking by alternative trace (MCRAT) and the second is ranking alternatives by perimeter similarity (RAPS). These two novel methods are demonstrated in decision-making problems and compared with the ranking of the same alternatives by other MCDM methods. The mining process often includes drilling and blasting operations as the most common activities for exploitation of raw materials. For optimal blasting design it is important to select the most suitable parameters for the blasting pattern and respect characteristics of the working environment and production conditions. By applying novel methods, how to successfully select the most proper blasting pattern respecting all conditions that must be satisfied for economic aspects and the safety of employees and the environment is presented.
Katarina Urošević; Zoran Gligorić; Igor Miljanović; Čedomir Beljić; Miloš Gligorić. Novel Methods in Multiple Criteria Decision-Making Process (MCRAT and RAPS)—Application in the Mining Industry. Mathematics 2021, 9, 1980 .
AMA StyleKatarina Urošević, Zoran Gligorić, Igor Miljanović, Čedomir Beljić, Miloš Gligorić. Novel Methods in Multiple Criteria Decision-Making Process (MCRAT and RAPS)—Application in the Mining Industry. Mathematics. 2021; 9 (16):1980.
Chicago/Turabian StyleKatarina Urošević; Zoran Gligorić; Igor Miljanović; Čedomir Beljić; Miloš Gligorić. 2021. "Novel Methods in Multiple Criteria Decision-Making Process (MCRAT and RAPS)—Application in the Mining Industry." Mathematics 9, no. 16: 1980.
Accurate metal price forecasting is the precondition for optimal and sustainable mine production planning. This paper combined two methods for time series analysis. The developed model represents the combination of the Grey System Theory and a Stochastic differential equation. More precisely, we added stochastic term to the first-order whitenization differential equation. Solution of this equation represents the time response function which is capable of creating artificial evolving paths of the metal price. The simulation process resulted in a distribution and adequate expected value at every single point. Further, model efficiency was increased by adding residuals modeled by the Singular Spectrum Analysis method. The model was tested on the monthly lead metal price series. Mean absolute percentage error is 4.37% and the model can be classified as a high-performance model.
Zoran Gligorić; Miloš Gligorić; Dževdet Halilović; Čedomir Beljić; Katarina Urošević. Hybrid Stochastic-Grey Model to Forecast the Behavior of Metal Price in the Mining Industry. Sustainability 2020, 12, 6533 .
AMA StyleZoran Gligorić, Miloš Gligorić, Dževdet Halilović, Čedomir Beljić, Katarina Urošević. Hybrid Stochastic-Grey Model to Forecast the Behavior of Metal Price in the Mining Industry. Sustainability. 2020; 12 (16):6533.
Chicago/Turabian StyleZoran Gligorić; Miloš Gligorić; Dževdet Halilović; Čedomir Beljić; Katarina Urošević. 2020. "Hybrid Stochastic-Grey Model to Forecast the Behavior of Metal Price in the Mining Industry." Sustainability 12, no. 16: 6533.
Production planning in an underground mine plays a key activity in the mining company business. It is supported by the fact that mineral industry is unique and volatile environment. There are two uncertain parameters that cannot be managed by planners, metal price, and operating costs. Having ability to quantify and incorporate them in the process of planning can help companies to do their business in much easier way. We quantify these uncertainties by the simulation of mean reverting process and Itô-Doob stochastic differential equation, respectively. Mineral deposit is represented as a set of mineable blocks and room and pillar mining method is selected as a way of mining. Multicriteria clustering algorithm is used to create areas inside of mineral deposit that have technological characteristics required by the planners. We also developed a way to forecast the volatility of economic values of these areas through the planning period. Fuzzy 0-1 linear programming model is used to define the sequence of mining of these areas by maximization of the expected value of the fuzzy future cash flow. Model was tested on small hypothetical lead-zinc mineral deposit and results showed that our approach was able to solve such complex problem.
Miloš V. Gligorić; Zoran M. Gligorić; Čedomir R. Beljić; Suzana Lutovac; Vesna M. Damnjanović. Long-Term Room and Pillar Mine Production Planning Based on Fuzzy 0-1 Linear Programing and Multicriteria Clustering Algorithm with Uncertainty. Mathematical Problems in Engineering 2019, 2019, 1 -26.
AMA StyleMiloš V. Gligorić, Zoran M. Gligorić, Čedomir R. Beljić, Suzana Lutovac, Vesna M. Damnjanović. Long-Term Room and Pillar Mine Production Planning Based on Fuzzy 0-1 Linear Programing and Multicriteria Clustering Algorithm with Uncertainty. Mathematical Problems in Engineering. 2019; 2019 ():1-26.
Chicago/Turabian StyleMiloš V. Gligorić; Zoran M. Gligorić; Čedomir R. Beljić; Suzana Lutovac; Vesna M. Damnjanović. 2019. "Long-Term Room and Pillar Mine Production Planning Based on Fuzzy 0-1 Linear Programing and Multicriteria Clustering Algorithm with Uncertainty." Mathematical Problems in Engineering 2019, no. : 1-26.
When considering data and parameters in hydrogeology, there are often questions of uncertainty, vagueness, and imprecision in terms of the quantity of spatial distribution. To overcome such problems, certain data may be subjectively expressed in the form of expert judgment, whereby a heuristic approach and the use of fuzzy logic are required. In this way, decision-making criteria relating to an optimal groundwater control system do not always have a numerical value. Groundwater control scenarios (alternatives) are identified through hydrodynamic modeling of the aquifer, providing an indication of their effectiveness. The paper develops a fuzzy-stochastic multi-criteria decision-making model to deal with a topical problem: selection of the most suitable groundwater control system for an open-cast mine. Both real numerical and linguistic variables are used to express the values of all criteria that affect the final decision. In particular, it should be pointed out that the values of the criteria are varied over a predefined time horizon. For mathematical calculations, fuzzy dynamic TOPSIS and the stochastic diffusion process—geometric Brownian motion—were used. The proposed method is tested in a case study: the selection of an optimal groundwater control system for an open-cast mine.
Dušan Polomčić; Zoran Gligorić; Dragoljub Bajić; Miloš Gligorić; Milanka Negovanović. Multi-Criteria Fuzzy-Stochastic Diffusion Model of Groundwater Control System Selection. Symmetry 2019, 11, 705 .
AMA StyleDušan Polomčić, Zoran Gligorić, Dragoljub Bajić, Miloš Gligorić, Milanka Negovanović. Multi-Criteria Fuzzy-Stochastic Diffusion Model of Groundwater Control System Selection. Symmetry. 2019; 11 (5):705.
Chicago/Turabian StyleDušan Polomčić; Zoran Gligorić; Dragoljub Bajić; Miloš Gligorić; Milanka Negovanović. 2019. "Multi-Criteria Fuzzy-Stochastic Diffusion Model of Groundwater Control System Selection." Symmetry 11, no. 5: 705.
This paper presents a review of the advantages of application of JKSimBlast 2DFace software in design phase of underground premises. The aim of this research was to show possibilities of the software and possibility of its application in design of underground premises with suggestions for further work. A model of a drift "TIP 5" was developed and analysed in the software to show all the possibilities of the application of software in underground construction. Further work would require a detailed field work to gather input data required for more detail analysis of the effects of blasting in the software itself, as well as validation of the results given by software on the field.
Luka Crnogorac; Rade Tokalić; Suzana Lutovac; Miloš Gligorić; Aleksandar Ganić. Application of JKSimBlast software in drifting operations. Podzemni radovi 2019, 37 -48.
AMA StyleLuka Crnogorac, Rade Tokalić, Suzana Lutovac, Miloš Gligorić, Aleksandar Ganić. Application of JKSimBlast software in drifting operations. Podzemni radovi. 2019; (35):37-48.
Chicago/Turabian StyleLuka Crnogorac; Rade Tokalić; Suzana Lutovac; Miloš Gligorić; Aleksandar Ganić. 2019. "Application of JKSimBlast software in drifting operations." Podzemni radovi , no. 35: 37-48.
Jelena Majstorović; Miloš Gligorić; Suzana Lutovac; Milanka Negovanović; Luka Crnogorac. Correlation of uniaxial compressive strength with the dynamic elastic modulus, P - wave velocity and S - wave velocity of different rock types. Podzemni radovi 2019, 11 -25.
AMA StyleJelena Majstorović, Miloš Gligorić, Suzana Lutovac, Milanka Negovanović, Luka Crnogorac. Correlation of uniaxial compressive strength with the dynamic elastic modulus, P - wave velocity and S - wave velocity of different rock types. Podzemni radovi. 2019; (34):11-25.
Chicago/Turabian StyleJelena Majstorović; Miloš Gligorić; Suzana Lutovac; Milanka Negovanović; Luka Crnogorac. 2019. "Correlation of uniaxial compressive strength with the dynamic elastic modulus, P - wave velocity and S - wave velocity of different rock types." Podzemni radovi , no. 34: 11-25.
Meeting investment and operating goals with presence of different sources of uncertainties and operational constraints is critical for a successful underground mining operation and even for a mining company to survive. Small and large mining businesses are all affected by business environment. Production planning that takes into account real strength of the mining company requires from the owner or management of the company to set up acceptable and achievable investment goals (targets). In this paper we propose the production planning model that minimizes deviation from Acceptable Rate Of Return (AROR). Besides the AROR, there are operating goals success that should be also realized with minimum deviation from target values. Accordingly, the production planning can be treated as a multi-objective problem. All these objectives are integrated in multi-variable weighted Frobenius distance function that measures the deviation from established targets. Ore body is represented as a set of mineable blocks and room and pillar mining method is selected as a way of mining. We apply a multi-objective iterated greedy algorithm to define a set of blocks that should be mined every year such that deviations from target values are less than or equal to given errors of minimization. Uncertainty of metal price and operating costs are treated by mean reversion process and Geometric Brownian motion respectively. Algorithm was tested on small hypothetical lead-zinc ore body.
Zoran Gligoric; Milos Gligoric; Bojan Dimitrijevic; Ines Grozdanovic; Aleksandar Milutinovic; Aleksandar Ganic; Zoran Gojkovic. Model of room and pillar production planning in small scale underground mines with metal price and operating cost uncertainty. Resources Policy 2018, 65, 1 .
AMA StyleZoran Gligoric, Milos Gligoric, Bojan Dimitrijevic, Ines Grozdanovic, Aleksandar Milutinovic, Aleksandar Ganic, Zoran Gojkovic. Model of room and pillar production planning in small scale underground mines with metal price and operating cost uncertainty. Resources Policy. 2018; 65 ():1.
Chicago/Turabian StyleZoran Gligoric; Milos Gligoric; Bojan Dimitrijevic; Ines Grozdanovic; Aleksandar Milutinovic; Aleksandar Ganic; Zoran Gojkovic. 2018. "Model of room and pillar production planning in small scale underground mines with metal price and operating cost uncertainty." Resources Policy 65, no. : 1.
Almost all of rock masses are more or less anisotropic medium. Foliation, layering, cracking and cleavage are some of the rock attributes that indicate to anisotropy presence. Due to the existence of these discontinuities, elastic waves propagation velocities along certain directions are extremely different. In this paper, we investigated total of 50 samples which are divided into two groups of samples, isotropic and anisotropic samples. Longitudinal elastic waves propagation velocities are measured in the three normal directions and three orthogonal planes, respectively. The main scope of this study is related to interval numbers in order to express uncertainties of the longitudinal elastic waves propagation velocities. Based on this, we have determined quantitative indicators of anisotropy. Obtained results are represented in graphic form. anisotropy investigation; longitudinal elastic waves propagation velocities; quantitative indicators of anisotropy; interval numbers
Miloš Gligorić; Jelena Majstorović; Suzana Lutovac. Investigation of quantitative indicators of anisotropy based on longitudinal elastic waves propagation velocities with uncertainty. Podzemni radovi 2018, 1 -14.
AMA StyleMiloš Gligorić, Jelena Majstorović, Suzana Lutovac. Investigation of quantitative indicators of anisotropy based on longitudinal elastic waves propagation velocities with uncertainty. Podzemni radovi. 2018; (32):1-14.
Chicago/Turabian StyleMiloš Gligorić; Jelena Majstorović; Suzana Lutovac. 2018. "Investigation of quantitative indicators of anisotropy based on longitudinal elastic waves propagation velocities with uncertainty." Podzemni radovi , no. 32: 1-14.