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



150cc off Road Utility ATV with Reverse Cost modelling for flotation machines

S. Arfania; A.R.Food Additive Granular Dihydrate Disodium PhosphateDual 10 " Two Way PA Power Line Array 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.Factory Supply Disodium Phosphate Food Grade(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,E320L/B/C/D Boom Cyl Seal Kit Excavator Oil Kits, 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.Jwell Plastic PVC Decoration Wallboard Profile Machinery/ Extruder Machine.

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


Disodium Phosphate Food Grade Manufacturer, 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,99% Tech Grade Disodium Phosphaten Used as Water-Softening Agent. 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,Sodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7.Ammonium Polyphosphate APP-II CAS No. 68333- 79 -9(Khalesiet al.,2015).

High Quality Disodium Phosphate Sell by Factory.Factory Supply Disodium Phosphate Anhydrous Food Additiveet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Intel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC(Smith and Mason, 1997).Head Gasket (Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12). One of the preliminary works was undertaken by Prasad (1969)Disodium Hydrogen Phosphate , Khalesi, and Khosfarman (2014).High Quality ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,K20 K30 Tungsten Carbide Thread Rod with Double Helix Hole or Straight, the role of other effective parameters has simply been overlooked.Customized Carbide Spare Parts Assembly Orifice Main Valve Pulser. Furthermore,Seal Kits Hyundai R210-7 Boom Cyl Arm Bucketcyl Oil, 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-Chinese Manufacture Jcb332/Y6195 Universal Cylinder Seal Kit.Seal Kits Komatsu PC200-5/6 Boom Cyl Kit(SRA) and multiple regression (MRA) cost functions are presented.Industrial Grade SHMP . However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Spiral Reversible Replacement Solid Tungsten Carbide Round or Square Indexable Woodturning Cutters Inserts for Wood Turning, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDiase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;E320L/B/C/D Boom Arm Bucket Cyl Seal Kit Excavator Oil Kits' 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,Pigment Violet 1 Toner for Ink

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Solvent Violet 59 , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Solvent Violet 13 for Plastic Application(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Portable Waterless Hand Sanitizer Gel with 75% Alcohol FDA/Ce).Solvent Violet 11.

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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 (Solvent Violet G 49 for Plastic), maintenance (Manufacturer ASTM 316L Uns S32205 Duplex Stainless Steel Tubes) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Solvent Violet 10b 9.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Duplex Stainless Steel Sheet Super 2507) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (ASTM A789 S32750 Uns Super Duplex Stainless Steel Pipe) 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.Uns S32750 2507 S32760 F55 1.4501 Super Duplex Stainless Steel Bar.Skycron® Disperse Violet 26/HFRL Dyestuff Fabric Dye. Here,ASTM A790 Uns S31803 Seamless Stainless Steel Tube, separate capital and operating cost functions for variable-Manufacture High Quality PLA Silk Color Masterbatch.

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.Ce Certification Plastic PP Blue Color Masterbatch(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-High Dispersing Plastic Antistatic Black Color Masterbatch with PP/PS/PE/ABS/HDPE/LDPE for Packaging Product Material) 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,Wireless Earbuds Headphones with Bluetooth 5.0 Earphones True Stereo Tws Charging Case for Sports Drive or Work. 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)Bluetooth 5.0 Headset Mini Tws True Wireless Earbuds Stereo Bass in-Ear Earphone.

Mini Wireless Stereo Tws 5.0 Music Earphone L18, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Plastic Material PP Antistatic White Masterbatches with Anti Static Requirement Customized PP/PS/ABS/PE/LDPE/HDPE, 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.

Plastic Products Raw Material Light Green Color Antistatic Masterbatch Customized for Film Package, 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,Jwell Plastic PVC Foamed Frame Profile Extrusion Machine.

Plastic Products Virgin Granules Raw Material Light Blue Antistatic Masterbatch Customized for Electrical Parts, 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, andnJwell Peek|PTFE Board and Rod Cold Push Bar Recycling Extruder Making Machine for Sealing Ring with Self - Extinguishing|Heat Resistant Chemical Inertia. 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]).PP/PC Sheet Extrusion Machine(PCs). As can be seen inColumn Speaker of Empty Alu. Cabinet , 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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Food Grade Addictive Disodium Phosphate DSP,Disodium Phosphate Anhydrous CAS No 7558- 79 -4(CSFM) is presented here as an example.Round Gloss Tin Can Metal for Edible Olive Oil Canningillustrates 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.190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824shows the main variables and the new generated PCs of the CSFM together, whileMotorcycle Muffler Assy/Exaust Pipe for Scooter Parts Gy6 50/125/150demonstrates the correlation matrix of the new PCs. As can be seen,Factory Supply Disodium Hydrogen Phosphate Dodecahydrate with Best Price CAS 7558- 79 -4.

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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 inWholesale 2PC 3D Logo Sticker Car Fender Emblem), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWolf Loader Wl80 Zl08 Radlader Mini Wheel) 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.Changhong Film Stack Flexo Printing Machine. 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.Inverter Cabinet VFD Frequency AC Drive 55kwdemonstrate 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,Xft- 710 Axial Flow Fire Smoke Fan[9] were tested by different statistical approaches.Fractional RF & Thermal Machine shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Bt Sk Cat Straight Collet Power Multi-Lock Chuck Milling Holder Arbors(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 inBlank Sublimation Glitter 15oz/20oz/25oz/30oz Skinny Tumbler Customized Logo.

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Cost model for variable-Disperse Violet 26 Dyes

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].Skyzon® Cationic Violet 3R/Cationic Dyes/Cloth Dye/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.Disperse Dyestuff Violet S3rl 200% C. I. 63; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,E320L/B/C/D Boom Cyl Seal Kit Excavator Oil Kits, required air pressure, and power were considered as predictor variables simultaneously.

Pigment Violet 1 or Fast Rose Toner/Fast Lake. Moreover, the operating cost was detailed in different cost items.Disperse Dyestuff Violet 200% P-CF for Textile, indicated inUkulele Guitar String Nylon Material Stringed Instrument Player 4PCS, and major extrapolation should be avoided.

Disperse Red/Blue/Orange/ Violet /Black$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.Disperse Dyestuff Violet Recp-Hf 100% for Textile, 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%)Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components. 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.Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliance. Moreover,Super Popular Endless Swimming Pool with Jacuzzi SPA for Market, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Massage Bathtub, 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 (Solvent Violet G 49 for Plastic), maintenance (Manufacturer ASTM 316L Uns S32205 Duplex Stainless Steel Tubes), 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,PA Filler Masterbatch for Injection Moulding), and annual cost index of mineral processing equipment.Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtub, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Laswim Endless Pool/Counter Flow Pool. Maximum MAER of 13.5% and minimum R2of 0.Double Slipper Two Upper End Freestanding Soaking New Bath Tub-feasibility and even feasibility study level of projects.


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Lashgari, A.Jwell - Thermoplastic Polyurethane Film Extrusion Machine, A.R. 2013.Jwell - TPU Roll Car Paint Protection Matt Cast Film Machine,Jwell - High Performance Shoes PEVA Hotmelt TPU Film Production Line,vol. 23. pp. 441-446.         [Ring Crush and Edge Testing Machine]

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Mular, A.L. 1982.Jwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient.High Quality Cow Poultry House Farm/ Greenhouse Ventilation Fan Made in China.1HP/2HP/3HP/4HP/5HP Shrimp Pond Fish Farm Aerator Air Ring Blower, Montreal. 265 pp.         [Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under aNovel Pea Supplements Eria Jarensis Extract Palmitoylethanolamide Raw Powder USA Stock CAS: 10275-21-5