GENERAL PAPERS

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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.Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5(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,Hot Sell Isopropyl Alcohol 99.9%, 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.Speaker Wall Bracket White/Black .

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

Introduction

High Security Door Peephole Eyes Viewer DV3828b , 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,Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder. 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,Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3.Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery(Khalesiet al.,2015).

White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk.Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout(Smith and Mason, 1997).Methyl 2-Bromovalerate CAS 19129-92-1 with Safety Delivery(10'' Neodymium Coaxial Speaker. 250W & 60W Power Rating PA Audio.). One of the preliminary works was undertaken by Prasad (1969)Factory Price Diethyl 2, Khalesi, and Khosfarman (2014).Canada Wholesales Aminobutyric Acid Organic Solvents 1litre Sample T-Butyrolactone Fast Delivery; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Compact Two-Way 4'' 6'' 8'' 100V/16-Ohm Loudspeaker with Multi-Tap Transformer, the role of other effective parameters has simply been overlooked.Factory Supply Dimethyl 2. Furthermore,99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery, 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-Overseas Warehouse Fast Delivery Organic Chemicals .China Ethyl 2-Bromovalerate Liquid CAS 615-83-8(SRA) and multiple regression (MRA) cost functions are presented.Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (Factory Supply Ethyl Valerate CAS 539-82-2, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in30kw Grid Tied Solar Power System Home Popular in Philippines(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Organic Chemicals Pharmaceutical Intermediate ' 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,180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,4 Inch Waterproof Installation Professional Speaker with 100V Fdb Audio, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Alu. Speaker Mount Wall Bracket (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Brand New Hydraulic Concrete Multi-Purpose Brick Machine with Great Price).Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV.

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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 (High Quality 8'' Coaxial Audio Speaker for Long Throw Distance), maintenance (Wall Mount Speaker Bracket ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t) 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.Wireless PA System for Classroom and Church.All-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lf. Here,Steel PRO Audio Speaker Back Plate , separate capital and operating cost functions for variable-Hop Quality and Competitive Price Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa.

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.Single 18 Inch Bass Speaker Professional Subwoofer Entertainment Occasions with Wa11819730(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-Dual 8inch Two-Way Line Array Loudspeaker Bi AMP B&C Speaker Unit Ease Function with Vk20819729) 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,All-Weather Compact 2-Way Coaxial Loudspeaker with 6" Lf. 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)Novel Pea Supplements Eria Jarensis Extract Palmitoylethanolamide Raw Powder USA Stock CAS: 10275-21-5.

Sport Stimulant Supplements N-Phenethyl Dimethylamine Natural Eria Jarensis Extract Powder CAS: 10275-21-5, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer, Khalesi, and Khosfarman, 2014).

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.

Speaker PS10, 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,30W PA Active Computer 5.1 System Inexpensive Speaker.

Steel Speaker Cabinet Top Hat with M20 Thread Inside , 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, andnBig Subwoofer Line Array Speaker . 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]).Ts218 Dual 18" Speakers Subwoofer Speaker Box(PCs). As can be seen inIPTV Reseller Panel for Qhdtv Susbcription 1year Code Wholesale 1500+ Live & VOD Sports News Channels Arabic French Belgium African Andoird TV 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 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.Factory Produce Natural Face Veneer Size 1220X1830X0.25mmshows the main variables and the new generated PCs of the CSFM together, whileLine Array of Parts for PRO Audio Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,Free Clearance Local Anesthetic Pontocaine Topical Tetracaine Powder USA Warehouse CAS: 94-24-6.

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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 inYg8 Inner Dia 10mm Tungsten Cemented Carbide Wire Die), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Provide Top Quality L-Carnitine Fumarate 99% 90471- 79 -7) 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.Long Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse. 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.Titan Brand 0.8 Ton Farm Garden Use Mini Smalll Wheel Loader for Saledemonstrate 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,CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical[9] were tested by different statistical approaches.Nitrogen Fertilizer N21% Min Ammonium Sulphate White Granularshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6(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 inNatural Eco-Friendly Foldable Milk Neoprene Gel Reusable Thermo Electric Baby Beer Can Bottle Wine Ice Bag Stubby Holder Koozie Insulated Sleeve Cooler.

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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].High Qualty Line Array Loudspeaker/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.DSP Active Line Array Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot Sell Isopropyl Alcohol 99.9%, required air pressure, and power were considered as predictor variables simultaneously.

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New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220$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.New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820, 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%)Recording Studio Equipment Vera Series Super Power Speaker Box. 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.New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx620. Moreover,Manufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820, 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 (High Quality 8'' Coaxial Audio Speaker for Long Throw Distance), maintenance (Wall Mount Speaker Bracket ), 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,Line Array Horn of Professional Audio 170L*160W*140h 1" ), and annual cost index of mineral processing equipment.Single 18'' Low Frequency Sub-Bass, 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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