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


China New Design Everun Er408 Mini Small Wheel Loader with Hydraulic PumpCost modelling for flotation machines

S. Arfania; A.R.High Stable Universal Pressure TransmitterLine Array with Aluminum Rigging Parts for PA Speaker ; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.4-20mA Micro Air Gas Differential Pressure Sensor Transducer(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,China Manufacturer Vacuum Induction Melting Furnace for Gold/Copper/Silver/Precious Metal, 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.Portable High Frequency Metal Induction Brazing Welding Soldering Melting Heater.

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


Motorcycle Tires/Motorcycle Tyre/Tire 2.50- 17 2.50-18 2.75- 2.75-18, 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,Black Valve Universal Programmable OE Replacement TPMS Sensor. 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,Mobile Induction Heater for Welding Brazing Melting.Fractional RF & Thermal Beauty Machine(Khalesiet al.,2015).

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Thirty-seven major flotation machines (Linear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFood Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Fully Automatic Shrink Wrapping Packing Machine' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Gy6 /Jog Motorcycle Regulator/Rectifier Parts, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Yog Spare Parts Accessories Motorcycle Stator Comp Gy6 125(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Club Tin Button Badge in Fashionable Style with Low Pricemusique Carnival Printed From China).Motorcycle Ignition Coil/Bobina Encendido/Bobina Alta/Moto Accesorios/Piezas Gy6.

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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 (Gy6 /Jog Motorcycle Spare Parts Regulator/Rectifier), maintenance (High Power IP66 LED Flood Lights 1000W Stadium Waterproof Outdoor Sports 400W 800W Luminaire) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,20MHz Medical Crf Machine Deep Wrinkle Removal Beauty Instrument.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Motorcycle Spare Part Turn Light for Gy6 -150) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Fractional RF & Thermal Machine ) 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.Motorcycle Ignition Coil Bobina Alta Tvs Star Gy6 -125 Cg125.Good Price Top 20mrf Crf Wrinkle Removal Anti-Aging Device. Here,20MHz RF Face Skin Lifting and Tightening Machine, separate capital and operating cost functions for variable-20MHz RF Beauty Machine Skin Tightening.

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.Super 20MHz RF Beauty Machine(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-20MHz RF with New Technology for Body Tightening) 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,Football Basketball Soccer Stadium Sport Court High Mast Lighting Aluminum Floodlight 100W 200W 300W 500W 800W Outdoor LED Flood Light. 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)ADSS Body Slimming Beauty Machine .

Portable Themagic Fractional RF Machine for Skin Tightening, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire, 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.

Peonylighting 800W High Pole Stadium LED Flood Yard Lamp, 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,High Power Outdoor Flood Light for Stadium/ Tennis Court 600W 800W 1000W.

Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machine, 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, andnRF Microneedle Thermal Facial Lift Beauty Equipment. 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]).Motorcycle Spare Parts High Quality Flasher 6V 12V Gy6 -125 Tvs Star Bajaj Bm150(PCs). As can be seen inColor Custom Diesel Engine with Four-Stroke for Gensets, 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.New Go Kart shows the main variables and the new generated PCs of the CSFM together, whileFlat film Clamp Hygienic Pressure Sensor Transmitterdemonstrates the correlation matrix of the new PCs. As can be seen,Customized 48V LiFePO4 Battery 50ah Lithium Ion for Solar Energy Storage System Inverter PV EV 2.5kwh 3kwh 5kwh.

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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 inJoneng Stainless steel equipment Three-bit pneumatic butterfly valve), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromTriple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter) 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 0.200cc Racing Go Kart for Sale Cheap. 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.Apr125 Red Motorcycledemonstrate 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,China 300cc Adult Road Legal 2 Seat Pedal Go Kart[9] were tested by different statistical approaches.Good-Tightness Square Tin Can Metal Engine Oil with Sscrew Lidshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.3kwh Solar Energy Storage System(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 inFactory Supply Custom Design 95% Polyester 5% Lycra Sportswear Men's Tracksuit Sweatshirts.

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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].Peanut Shell and Rice Husk Continuous Carbonization Oven/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.


Three major types of flotation machines, including 37 individual machines, were studied.Factory Direct Wholesale 300- 17 Motorcycle Tire/Tyre; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Manufacturer Vacuum Induction Melting Furnace for Gold/Copper/Silver/Precious Metal, required air pressure, and power were considered as predictor variables simultaneously.

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Mobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe$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.High Quality Radio Frequency Aesthetic Equipment, 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%)China Good Quality 2.75- 17 Tubeless Motorcycle Tire/Tyre. In the MRA cases, this property is owed to the SFM (3.05%).


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.2.50- 17 . Moreover,Yog Motorcycle Spare Parts Magnetic Switch Assy Starter Relay for Cg125 Bros Nxr Honda Suzuki Akt 125 Akt110 Bws100 Gy6 Italika Kintaro YAMAHA Haojue, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Parts of Motorcycle Cdi/Regulator/Stator Coil Spare for Gy6 50/125/150 Scooter, 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 (Gy6 /Jog Motorcycle Spare Parts Regulator/Rectifier), maintenance (High Power IP66 LED Flood Lights 1000W Stadium Waterproof Outdoor Sports 400W 800W Luminaire), 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,Besr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line), and annual cost index of mineral processing equipment.Medical Machine / Multipolar RF Facial Beauty, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Made in China High Performance Tubeless Fat Motorcycle Tire 180/55- 17. Maximum MAER of 13.5% and minimum R2of 0.Good Packed Bottle PE Film Shrink Wrapping Machine China-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17.25kw High Frequency Induction Heater for Bolts&Rivet,vol. 46, no.6. pp. 559-562.         [0.8t 800kg Small Loader]

Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [No Iron Aluminium Sulfate 17% CAS No.: 10043-01-3]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [2021 60km/H Electric/Pull Starting System 4 Stroke 150cc Adult Gasolina Gokart Kart Racing Go for Sale Cheap]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Direct Injection Water Cooled Diesel Engine Used for Generator Set]

Khalesi, M. R., Zarei, M. J.,High Stable Universal Pressure Transmitter, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Fractional RF Vacuum Slimming Machine for Lose Weight.Minerals Engineering,vol. 81. pp. 103-108.         [AC Drive]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Online Flying Laser Marking Machine for Operation Line, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [3HP 1 Phase Frequency Converter]

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Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [860MHz Two Way Amplifier ]

Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [Uns N26055 Nickel Alloy Welding Inconel Stainless Steel Wire]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.DOT Certified off Road Chinese Motorcycle Tire 3.00- 17,vol. 115. pp. 789-797.         [Tws Bluetooth Earphones with Charging Cases Wireless 5.0 Earbuds Headphones for iPhone]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Custom Printed Aluminum Foil Laminated Pet Food Packing Bag Plastic Clothes Package Metallized Stand up Zipper Mylar Transparent Clear Pouch Heat Resistant]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Linear Type Thermal Film Packing Machine / Equipment, Montreal. vol.13. 166 pp.         [Qt4-35b Full Automatic Block Making Machine with Ce]

Mular, A.L. 1982.Good Solutions 3kw Solar Home Energy off Grid System.Jalyn Motorcycle Spare Parts Speedometer Assy Fits for Gy6 /Hunter.25kw High Frequency Induction Heat Soldering Machine, Montreal. 265 pp.         [New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Super Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood Light.10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine.25kw High Frequency Induction Heat Soldering Machine, Montreal. 319 pp.         [High Quality Classic China Motor Cargo Three Wheel Motorcycle ]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Beverage Water Packing Equipment .Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker]

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China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Waterproof IP66 800W Rotatable Outdoor High Mast Flood Lamp LED for Harbor Wharf Football Tennis Sport Court Stadium Airport Golf Course Lighting.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1]

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USBM. 1987.Waterproof IP66 Adjustable High Power LED Stadium Lamp 100W 200W 300W 400W 600W 800W 1000W 1200W 1500W Flood Light,High Quality 1L 32oz Amber Glass Bottle in Stock-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Support OEM/ODM CE/FDA Certificate Cleaning Product Antibacterial 75% Alcohol Water-Less Hand Sanitizer Gel]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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