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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Master Batch Organic ColorsCost modelling for flotation machines

S. Arfania; A.R.Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel LoaderFangpower 400cc 4seat Side by Dune Buggy UTV; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Natural Okoume Venner 0.90mmx6X9FT, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R2, MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R2of 0.All Sizes Good White Recon Veneer.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,15mm Pine Wood Core Block Board for Construction. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,The New Natural Mahogany Okoume Veneer.Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture(Khalesiet al.,2015).

982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercial.2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycleset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline(Smith and Mason, 1997).Windows Mini PC Pipo X10 PRO Z8350 Chipset Smart TV Box Android 5.1 4G RAM 64G ROM(PA Speaker Steel Back Plate ). One of the preliminary works was undertaken by Prasad (1969)5 Liter Paint Tin Can with Customized Printing Plastic Handle, Khalesi, and Khosfarman (2014).2 Liter Square Small Metal Tin Can for Paint with Handle and Lid; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use, the role of other effective parameters has simply been overlooked.2382 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use. Furthermore,HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Innopack 5L Paint Engine Oil Tin Can with Plastic Handle.Innopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price(SRA) and multiple regression (MRA) cost functions are presented.Cheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSingle/Three Phase 220V 380V Vector Control Frequency Converter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,5kw Inverter Grid Tied Solar Power System for Home, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),975 Solar 30kw 40kw on Grid Tie Power System for Factory/House Roof(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Yishan 160HP hydraulic track type crawler bulldozer TY160G with 560/610mm shoes).Rosen 55kw Grid Tied on Solar System to Global Market.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Cheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Sale), maintenance (Hot Cheap Electric Scooter 60V800W20ah for Adult From China) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Luxury 350W 2 Wheel Electric Bike Scooter/Electric Moped with Pedals Motorcycle Scooter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cheap Cute Electric Scooter with Foot Pedal 60V800W20ah From China) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Three Phase 220V Frequency Converter with Vector Control.China Frequency Converter Variable Speed Drive. Here,2021 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without Pedals, separate capital and operating cost functions for variable-Frequency Converter 60Hz 50Hz 200HP.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Factory Price Wholesale 4oz-32oz Empty PVC Glue Tin Can with Brush(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Okoume Veneer) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Luneng Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Chinese Factory Tin Can with Brush for Glue and Sealants Adgesives.

Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Customized Metal Tea Canister Food Packaging Box Round Can Tin, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

Square Tin with Airtight Lever Lid for Tea, R2, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R2is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Hot Sale Factory Direct Easy Open Tin Can for Food Cannery.

968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof, analysis of residuals, tests of MAER values and evaluation of R2were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereCeis the estimated cost,Cathe actual cost, andn0.15mm Rosewood Veneer. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Interior Decorative Woven Veneer Customized Style(PCs). As can be seen inSuper Operation System Cavitation + RF Vacuum Roller Bio Laser Slimming Machine, neitherX1norX2is the main direction of the data, while the ellipse with main diameters PC1and PC2matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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Farm Machinery Zl08f Mini Wheel Loader with 4 in 1 Bucket,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(CSFM) is presented here as an example.Underwater Swimming Pool Light Decoration LED Lamp with Edison Chipillustrates the high correlation between predictor variables for the CSFM.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.High Purity Amino Acid L-Arginine Powdershows the main variables and the new generated PCs of the CSFM together, whilePassive RMS 700 Watts Dual 10 Inch Neodymium Line Array Speaker for Outdoor Showdemonstrates the correlation matrix of the new PCs. As can be seen,Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inHigh Quality Waterproof Business Laptop USB Charging Large Capacity Rucksack Backpack), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from1L /1000ml Extra Virgin Olive Oil Metal Can) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. The R2is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.High Purity 99% Intermediate 1demonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage[9] were tested by different statistical approaches.10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roofshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Chinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer(a1, a2, a3) and new intercept (a0) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated in10t Stainless Steel Fresh Milk Chilling Pot.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.


Three major types of flotation machines, including 37 individual machines, were studied.Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Natural Okoume Venner 0.90mmx6X9FT, required air pressure, and power were considered as predictor variables simultaneously.

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Cute City Electric Scooter 600V800W14ah Lithium Battery for Adults$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R2values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Natural Wood Veneer Oak /Cherry/Walnut MDF Board. In the MRA cases, this property is owed to the SFM (3.05%).


Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Zl08 0.8ton Mini Tractor Backhoe Front End Farm Wheel Loader Price List. Moreover,Chinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (0.3mm Rotary Cut Red Wood Veneer, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Cheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Sale), maintenance (Hot Cheap Electric Scooter 60V800W20ah for Adult From China), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm), and annual cost index of mineral processing equipment.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Gurjan Veneer Keruing. Maximum MAER of 13.5% and minimum R2of 0.Everun CE Approved 0.8 Ton Front End Loader-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

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