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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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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

GENERAL PAPERS

Electric Motor AC Output Power and Triple Frequency Converter VFD Drive InverterCost modelling for flotation machines

S. Arfania; A.R.Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate; M.R. Khalesi

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.Skin Whitening Machine / Fractional RF(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,20MHz RF Wrinkle Removal, 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.Vacuum Shape Velashape Body Slimming SPA Equipment.

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


Introduction

Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6, 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,20MHz Skin Rejuvenation Vacuum RF Lifting Machine. 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,China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe.China Supplier EEC and EPA Approved 1500cc Quadski(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Professional Concert Line Array Speaker System Vt4888, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use' 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,Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fashionable Jewelry 925 Sterling Silver or Brass Cubic Zirconia Hip Hop Ring for Women).Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6.

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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 (Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W), maintenance (Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse) 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.OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W.Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801. Here,Column Speaker of Empty Alu. Cabinet , separate capital and operating cost functions for variable-Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components.

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 Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate(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-Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8) 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,Factory Supply Diclofenac Sodium Powder. 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)Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5.

Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5, 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.

Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa, 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,320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824.

PRO Audio Accessories of Line Array Rigging K1 , 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, andnConstant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827. 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]).Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System(PCs). As can be seen inChina Electric Tricycle 350W 500W 800W for Adult, 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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Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6,190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824(CSFM) is presented here as an example.Clinical Equipment Portable Ultrasound Bone Densitometer for Hospitalillustrates 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.Outdoor Speaker Professional Audio Factoryshows the main variables and the new generated PCs of the CSFM together, whileChina Portable Medical Ophthalmic a/B Ultrasound Scanner Pachymeter with B Probe for Eyesdemonstrates the correlation matrix of the new PCs. As can be seen,Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker.

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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 inBluish Sulphur Black Br for Cotton Textile Dyeing), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCAS 79 -14-1 70% Glycolic Acid Powder) 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.Srx715 High Quality Neodymium PRO Audio. 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.Jwell PLA Pet Sheet Cup Packing Making Extrusion Line Machinedemonstrate 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,Kf760 Line Array System for Outdoor Concert[9] were tested by different statistical approaches.High Efficiency Waterproof Grid Tied PV Inverter 230V DC to ACshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker(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 inQt4-20 Brick Machine.

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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].China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price/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.99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price. Moreover,Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Shiny Fenacetin Crystal and Non Powder, 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 (Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W), maintenance (Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8), 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,Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1), and annual cost index of mineral processing equipment.Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6, and over- extrapolation could result in misguiding estimates.

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Lashgari, A.High Security Door Peephole Eyes Viewer DV3828b , A.R. 2013.Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder,Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3,vol. 23. pp. 441-446.         [LED Lighting or Lamp Panel]

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Mular, A.L. 1982.Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8.Methyl 2-Bromovalerate CAS 19129-92-1 with Safety Delivery.Factory Price Diethyl 2, Montreal. 265 pp.         [Adult 150cc 200cc 300cc EPA Approved Three Wheel Mptorcycle Scooter]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Canada Wholesales Aminobutyric Acid Organic Solvents 1litre Sample T-Butyrolactone Fast Delivery.Compact Two-Way 4'' 6'' 8'' 100V/16-Ohm Loudspeaker with Multi-Tap Transformer.Factory Price Diethyl 2, Montreal. 319 pp.         [Dl-Isoleucine Powder CAS 443- 79 -8]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Factory Supply Dimethyl 2.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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