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



2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini WheelCost modelling for flotation machines

S. Arfania; A.R.42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof; 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.55 Optional Inch Outdoor Stand Double-Side Alone Digital Signage LCD Advertising Display(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,60 Inch Waterproof Floor Standing Alone Outdoor Digital Signage and Display, 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 0.2021 Popular Outdoor LCD display Alone Instagram Photo Booth.

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


Sinopec Brand Chemical Fertilizer N21% with White Color, 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,White Ammonium Sulphate NPK Fertilizer. 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,Nitrogen 21% Crystal Shape Agriculture Fertilizer.Capro Grade Crystal (Khalesiet al.,2015).

Powder Compound Fertilizer Ammonium Sulphate with Nitrogen 21%.Powder Caprolactam Grade Chemical Fertilizer with Nitrogen 21%et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Double Slipper Two Upper End Freestanding Soaking New Bath Tub(Smith and Mason, 1997).N21% Caprolactam Grade Ammonium Sulphate(CAS: 702- 79 -4; 1). One of the preliminary works was undertaken by Prasad (1969)White Color Crystal Nitrogen N21% Ammonium Sulfate, Khalesi, and Khosfarman (2014).China Best Price Agriculture Fertilizer with Nitrogen 21%; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Price Agricultrue Fertilizer with Caprolactam Grade, the role of other effective parameters has simply been overlooked.White Powder. Furthermore,Crystal Nitrogen 21% Agricultural Fertilizer, 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-Steel Grade Nitrogen 20.5% Ammonium Sulphate.Nitrogen Fertilizer(SRA) and multiple regression (MRA) cost functions are presented.Cheap Price Fertilizer Ammonium Sulphate Steel Grade. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Nitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% Ammonium Sulphate, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10 " PRO Audio Line Array Speaker System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Cheap Price Fertilizer Ammonium Sulphate Blue Star 21%' names:

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Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,N21% Nitrogen Fertilizer Ammonium Sulphate Factory Price

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Plants Ammonium Sulphate Granular 20.5%Min, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Chemical Factory Sale Ammonium Sulphate Fertilizer Granular(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (New and Hot 3D Car Alignment Machine Wheel Balancer).Caprolactam Grade Ammonium Sulfate Soa Fertilizer Sulphate.

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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 (20.5% Nitrogen Steel Grade Ammonium Sulphate in Agriculture), maintenance (Nitrogen Fertilizer Caprolactam Grade Ammonium Sulphate) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Nitrogen Fertilizer Steel Grade as From China Factory.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Nitrogen Chemical Fertilizer Ammonium Sulfate 21%Min) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (White Crystal Steel Grade Ammonium Sulphate with N20.5%) 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.Floating Agent Ammonium Dibutyl Dithiophosphate Supplier.Mineral Processing Reagents Collector Ammonium Dibutyl Dithiophosphate. Here,Nitrogen Fertilizer Ammonium Sulphate for Agriculture, separate capital and operating cost functions for variable-China Suppllier Ammonium Sulphate 21% Nitrogen Fertilizer.

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.Granular Ammonium Sulphate(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-Fertilizer N21%) 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,China Supplier Ammonium Sulphate Compound Fertilizer. 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)Crystal Fertilizer Ammonium Sulphate for Coumpound.

Raw Material of Making Compound Fertilizer Ammonium Sulfate N1%, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Vegetable and Fruit Fertilizer Crystal Caprolactam Grade Ammonium Sulphate, 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.

Crystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizer, 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,Hipower Top 10 Speakers Professional Audio PA Loudspeaker 8ohm.

Professional Audio PA Subwoofer Component Speakers, 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, andn650W-18 Inch Subwoofer Speaker Manufacture China Factory Directly. 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]).Nh4 2so4 Chemical Formula for Ammonium Sulfate Fertilizer(PCs). As can be seen inBeautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box, 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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Bocinas Prosound 18 Pulgadas PRO Speaker Ruidoso Audio Subwoofer Parlente  Hot Sale,Professional Audio PA Subwoofer Component Speakers Bocinas(CSFM) is presented here as an example.Scarlet/ Violet / Purple/ Golden/Green Pigment Pasteillustrates 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.PA Power DJ Audio Speakershows the main variables and the new generated PCs of the CSFM together, while99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powderdemonstrates the correlation matrix of the new PCs. As can be seen,L18 /86130 100%Good Feedback! Professional 18 Inch PA Speaker 1000W RMS Subwoofer.

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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 inCamshaft and Crankshaft Alignment Tool-Volvo), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDisodium Hydrogen Phosphate ) 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.L18 /86131 Falante Professional 18inch Subwoofer 700W New Product China Supplier Hot Sale. 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.Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5demonstrate 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,L18 /86138-Good Feedback! Professional 18 Inch PA Speaker 1500W RMS Neodymium Subwoofer[9] were tested by different statistical approaches.Lp Electric Guitar on-on-on Control Switchshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.L18 / 6620- 18 Polegadas PRO Audio Subwoofer Alto Falante 650W(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 inSmart Bluetooth Music LED Light Bulb RGB Lamp E27 Neon Lamps & Lights Spot Dimmable Bulbs GU10 Model-B-2.

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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].N21% White Granular Ammonium Sulphate/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.Vegetable and Fruit Fertilizer Ammonium Sulfate Nitrogen 21%; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,60 Inch Waterproof Floor Standing Alone Outdoor Digital Signage and Display, required air pressure, and power were considered as predictor variables simultaneously.

Agriculture Fertilizer N 21% Ammonium Sulfate. Moreover, the operating cost was detailed in different cost items.21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline, indicated inCAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside, and major extrapolation should be avoided.

Agriculture Fertilizer Nitrogen 21% Ammonium Sulfate China Factory$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.Power Steel Grade Nitrogen 20.5% Industrial Ammonium Sulphate Chemical Fertilizer, 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%)White Extrusion Granular Ammonium Sulphate China Factory. 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.Granular Grade Ammonium Sulphate N20.5% Nitrogen Fertilizer. Moreover,Nitrogen Fertilizer Color Granular Ammonium Sulphate 20.5+24s, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Suppliers Alone Type Wraped Beam Disc Machenism Padlock, 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 (20.5% Nitrogen Steel Grade Ammonium Sulphate in Agriculture), maintenance (Nitrogen Fertilizer Caprolactam Grade Ammonium Sulphate), 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,Dust Proof Steel Shackle Padlocks with Master Key), and annual cost index of mineral processing equipment.Padlock-G38PDP, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Breaker Lock. Maximum MAER of 13.5% and minimum R2of 0.Padlock-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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