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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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Sodium Hexametaphosphate CAS 10124-56-8

On-line version ISSN2411-9717
Print version ISSN2225-6253

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

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

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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.Single 15'' Passive/Active Subwoofer with High Quality Plywood(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,Professional Concert Line Array Speaker System Vt4888, 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.Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use.

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


Introduction

High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock, 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,95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902. 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,Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti.Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception(Khalesiet al.,2015).

Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620.Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stocket al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for O2 Oxygen Sensor for Honda Accord 2.3L 4 Cyl F23A4 2000-2002 234-9014(Smith and Mason, 1997).Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality(SGS Food Grade Certification 500ml Tin Containers Olive Oil Can). One of the preliminary works was undertaken by Prasad (1969)Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6, Khalesi, and Khosfarman (2014).Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8, the role of other effective parameters has simply been overlooked.60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826. Furthermore,Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid, 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-Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse.OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W(SRA) and multiple regression (MRA) cost functions are presented.Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801. 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 (Column Speaker of Empty Alu. Cabinet , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components' 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,Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China Stainless Steel Sanitary Grade Tank Manual Rear Diaphragm).320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824.

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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 (PRO Audio Accessories of Line Array Rigging K1 ), maintenance (Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6) 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.190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824.Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker. Here,Birch Plywood 2-Way Crossover Passive Loudspeaker , separate capital and operating cost functions for variable-Srx715 High Quality Neodymium PRO Audio.

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.Kf760 Line Array System for Outdoor Concert(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-4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker) 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,231c Dual 31-Banddigital Graphic Equalizer/Limiter. 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)China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price.

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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.

GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6, 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,China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price.

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whereCeis the estimated cost,Cathe actual cost, andnSafe Shipping Sarms Powder ACP-105. 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]).99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price(PCs). As can be seen inAC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 15kw, 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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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.Gas Powered Adult Tricycle Motor Farmshows the main variables and the new generated PCs of the CSFM together, whileSw-1000p Ophthalmic Pachymeterdemonstrates the correlation matrix of the new PCs. As can be seen,Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6.

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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)

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 inManufacturer Supplier High Quality Super Soft Disposable Cotton Baby Diaper), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Price) 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.Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk. 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.Professional Multifunction Active Stage Speaker Wood Bt with Laser Lightsdemonstrate 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,Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1[9] were tested by different statistical approaches.China Articulated Wheel Loader Mr 908 Euro Style 800kg /0.8ton Mini for Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5(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 inTrain Window Installation Assembly with Customized Processed.

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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].Speaker Wall Bracket White/Black /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

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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.Methyl 2-Bromovalerate CAS 19129-92-1 with Safety Delivery. Moreover,Factory Price Diethyl 2, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Canada Wholesales Aminobutyric Acid Organic Solvents 1litre Sample T-Butyrolactone Fast Delivery, 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 (PRO Audio Accessories of Line Array Rigging K1 ), maintenance (Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827), 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,Compact Two-Way 4'' 6'' 8'' 100V/16-Ohm Loudspeaker with Multi-Tap Transformer), and annual cost index of mineral processing equipment.Factory Supply Dimethyl 2, 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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