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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

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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.Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array(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,Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220, 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.Single 15'' Sub Bass to U Series Full Range Speaker.

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


Introduction

Benzyl Benzoate Pharmaceutical Intermediates, 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,Single 15'' Passive/Active Subwoofer with High Quality Plywood. 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 Concert Line Array Speaker System Vt4888.Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inOriginal Quality Motorcycle Parts Spark Plug Cap for Gy6 125(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Supply Diclofenac Sodium Powder(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (CAS 10124-56-8 Sodium Hexametaphosphate with a High Exposure Rate and Favorable Price).Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5.

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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 (Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806), maintenance (Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery 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,Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (PRO Audio Accessories of Line Array Rigging K1 ) 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.Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827.Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System. Here,High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5, separate capital and operating cost functions for variable-Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6.

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.190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824(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-Professional All Weather Water-Proof Indoor Outdoor 4inch 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,Birch Plywood 2-Way Crossover Passive Loudspeaker . 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)Srx715 High Quality Neodymium PRO Audio.

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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.

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whereXobsis the observed value,xethe estimated value at time/placeI,and n,China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price.

Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System, 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, andnHot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio. 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]).GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6(PCs). As can be seen in150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV, 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.Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2shows the main variables and the new generated PCs of the CSFM together, while2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chipdemonstrates the correlation matrix of the new PCs. As can be seen,99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price.

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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 inLED Dolphin Bath Toys Bathtime Fun Bathtub Pool Float), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSpeaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array ) 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.Shiny Fenacetin Crystal and Non Powder. 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.AC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Pricedemonstrate 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].Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk/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.Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220, required air pressure, and power were considered as predictor variables simultaneously.

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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.Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3. Moreover,Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk, 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 (Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806), maintenance (Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery 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,Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8), and annual cost index of mineral processing equipment.Methyl 2-Bromovalerate CAS 19129-92-1 with Safety Delivery, and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery.Minerals Engineering,vol. 81. pp. 103-108.         [Small Wheel Loader Wl80 800kg Loaders for Farm Work]

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Mular, A.L. 1982.4'' Installation Professional Waterproof Speaker.Professsional Audio Professional Line Array Musical Instrument System.Vera12 Single 12" The Most Economical Line Array Sound System, Montreal. 265 pp.         [3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820.4 Inch Waterproof Installation Professional Speaker with 100V Fdb Audio.Vera12 Single 12" The Most Economical Line Array Sound System, Montreal. 319 pp.         [Wholesale 1.5 mm Natural Bamboo Skateboard Veneer with Best Price]

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4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-All-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lf.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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