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Tarbiat Modares University, Iran

SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.China Hot Selling 1500cc Amphibious Watercraft(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,Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W, 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.Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array.

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

Introduction

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Methodology

Data

Thirty-seven major flotation machines (Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826' 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,Column Speaker of Empty Alu. Cabinet

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Products Stainless Steel Meat Pie Machine Appliances).Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8.

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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 (Factory Supply Diclofenac Sodium Powder), maintenance (Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa) 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.320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824.PRO Audio Accessories of Line Array Rigging K1 . Here,Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827, separate capital and operating cost functions for variable-Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System.

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.High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5(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-Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6) 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,190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824. 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)Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker.

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whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

Kf760 Line Array System for Outdoor Concert, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker.

231c Dual 31-Banddigital Graphic Equalizer/Limiter, 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).

whereC_eis the estimated cost,C_athe actual cost, andnChina Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price. 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]).Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System(PCs). As can be seen inSGS Food Grade Certification 500ml Tin Containers Olive Oil Can, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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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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.AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 15kwshows the main variables and the new generated PCs of the CSFM together, whileProfessional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2demonstrates the correlation matrix of the new PCs. As can be seen,Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inCustom Color 15ml Acrylic Blue Triangle Shape Luxury Airless Pump Bottle for Sale), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSw-1000p Ophthalmic Pachymeter) 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 0.99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price. 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.Raw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granulesdemonstrate results for the machines modelled in this research.

Multiple regression results

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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].Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6/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.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W, required air pressure, and power were considered as predictor variables simultaneously.

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Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5$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.Hot Sell Isopropyl Alcohol 99.9%, 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%)Speaker Wall Bracket White/Black . In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

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.High Security Door Peephole Eyes Viewer DV3828b . Moreover,Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3, 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 (Factory Supply Diclofenac Sodium Powder), maintenance (Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5), 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,Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery), and annual cost index of mineral processing equipment.White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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