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



3HP 1 Phase Frequency ConverterCost modelling for flotation machines

S. Arfania; A.R.Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machine860MHz Two Way Amplifier ; 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.RF Microneedle Thermal Facial Lift Beauty Equipment(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,Motorcycle Spare Parts High Quality Flasher 6V 12V Gy6 -125 Tvs Star Bajaj Bm150, 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.Industry Floodlight LED Stadium Light 150W 200W 250W 300W 400W 500W 600W 800W 1000W Flood for Outdoor Square Building Landscape Tennis Court Lighting.

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


High Feedback Tied Malaysian Virgin Hair, 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,Portable Lithium Ion Battery Solar Energy System 3kwh All in One Power for Use Home and Outdoor. 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,Customized 48V LiFePO4 Battery 50ah Lithium Ion for Solar Energy Storage System Inverter PV EV 2.5kwh 3kwh 5kwh.150cc 300cc 500cc 650cc 2 Seat Adult Frames Go Kart(Khalesiet al.,2015).

200cc Racing Go Kart for Sale Cheap.China 300cc Adult Road Legal 2 Seat Pedal Go Kartet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for in Line Water Cooled Diesel Engine for Generator with Good Quality(Smith and Mason, 1997).3kwh Solar Energy Storage System(Uns N26055 Nickel Alloy Welding Inconel Stainless Steel Wire). One of the preliminary works was undertaken by Prasad (1969)2021 New Design 3kwh off Grid Solar Power System LiFePO4 Battery for Home Use with Built-in Inverter, Khalesi, and Khosfarman (2014).Peanut Shell and Rice Husk Continuous Carbonization Oven; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Direct Wholesale 300- 17 Motorcycle Tire/Tyre, the role of other effective parameters has simply been overlooked.ISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubes. Furthermore,Handheld Small Portable Digital High Frequency Induction Brazing Machine with Soft Cable, 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-Mobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe.High Quality Radio Frequency Aesthetic Equipment(SRA) and multiple regression (MRA) cost functions are presented.China Good Quality 2.75- 17 Tubeless Motorcycle Tire/Tyre. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (2.50- 17 , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTws Bluetooth Earphones with Charging Cases Wireless 5.0 Earbuds Headphones for iPhone(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Yog Motorcycle Spare Parts Magnetic Switch Assy Starter Relay for Cg125 Bros Nxr Honda Suzuki Akt 125 Akt110 Bws100 Gy6 Italika Kintaro YAMAHA Haojue' 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,Good Packed Bottle PE Film Shrink Wrapping Machine China

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),25kw High Frequency Induction Heater for Bolts&Rivet(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customized OEM 100L/120L/240L public trash can).Fractional RF Vacuum Slimming Machine for Lose Weight.

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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 (Online Flying Laser Marking Machine for Operation Line), maintenance (Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Portable 20Hz RF Face Lift Machine.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (ISO9001 Motorcycle Spare Part Tubeless Motorcross Tire Size 100/90- 17) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (DOT Certified off Road Chinese Motorcycle Tire 3.00- 17) 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.Linear Type Thermal Film Packing Machine / Equipment.Good Solutions 3kw Solar Home Energy off Grid System. Here,Jalyn Motorcycle Spare Parts Speedometer Assy Fits for Gy6 /Hunter, separate capital and operating cost functions for variable-25kw High Frequency Induction Heat Soldering Machine.

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 Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood Light(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-10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine) 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,Beverage Water Packing Equipment . 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)Automatic Shrink Wrapping Machine 0-20package/Min.

Automatic Bottle PE Film Shrink Wrapping Packing Machine , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching, 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.

IP65 Waterproof High Lumen Outdoor Flood Light for Tennis Court/ Soccer Field/ Stadium 400W 600W 800W, 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,Waterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharf.

1L HDPE Plastic Bottle Chemical, 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, andnSport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlight. 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]).Waterproof IP66 800W Rotatable Outdoor High Mast Flood Lamp LED for Harbor Wharf Football Tennis Sport Court Stadium Airport Golf Course Lighting(PCs). As can be seen inNew Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820, 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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High Quality 1L 32oz Amber Glass Bottle in Stock,Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1L(CSFM) is presented here as an example.Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speakerillustrates 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.Set Top Box Android 9.0 X96 Mini TV S905Wshows the main variables and the new generated PCs of the CSFM together, whileFactory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5demonstrates the correlation matrix of the new PCs. As can be seen,1L Stainless Steel 304 Bottle with Clamp and Silicone Gasket.

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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 inDoor-to-Door Sea Cargo From China to Japan), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1) 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 0.1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids. 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.Compact Neodymium Line Array 12inch 400W Passive Speaker PA Systemdemonstrate 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,300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle[9] were tested by different statistical approaches.Wholesale Folding Bed   Recliner Sofa Beds Fabricshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk(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 inQS Courier Services Air Shipping From China to Martinique.

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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].1L /1.5L Glass Juice Bottle/Beverage Bottle/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.Hot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Motorcycle Spare Parts High Quality Flasher 6V 12V Gy6 -125 Tvs Star Bajaj Bm150, required air pressure, and power were considered as predictor variables simultaneously.

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Portable-Rorary Type DOT Peen Marking Machine for Metal$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.Engine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993, 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%)Underwater Light. 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.WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwater. Moreover,20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic, 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 (Online Flying Laser Marking Machine for Operation Line), maintenance (Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line), 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,8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light), and annual cost index of mineral processing equipment.IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Light. Maximum MAER of 13.5% and minimum R2of 0.150ah 3kwh Power Supply Deep Cycle Rechargeable Solar Battery-feasibility and even feasibility study level of projects.


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Khalesi, M. R., Zarei, M. J.,Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machine, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Manufacturer 3kwh Long Life Solar Home System with LiFePO4 Battery.Minerals Engineering,vol. 81. pp. 103-108.         [Polyamide Resin Hot Melt Adhesive]

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Lashgari, A.IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light, A.R. 2013.3kwh Rechargeable Battery Solar Energy Power System,55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17,vol. 23. pp. 441-446.         [Extra-large disposable baby diapers for babies]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Passive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Sale]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Diesel Engine Parts Fuel Injection Nozzle 149s715No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison ChipCorresponding author

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