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



220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh Charging Appliances Rated Power Under 1500W Outdoor & Indoor UseCost modelling for flotation machines

S. Arfania; A.R.Diesel Engine Parts Fuel Injection Nozzle 149s715Gt1749V ; 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.Auto Feeding Inner Mounted Pipe Tube Beveling Engine(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,Tws True Wireless Headphone Earbud Bluetooth 5.0 New Design, 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.Diesel Engine Parts Fuel Injection Nozzle 150s355A.

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


Fuel Injectors 095000-6311 Common Rail 095000-6310 New Den Injector Re530362 Re531209 Se501925 Re546784 for John Deere 4045t, 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,Diesel Engine Parts Fuel Injection Nozzle 140sn634. 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,Diesel Engine Parts Fuel Injection Nozzle 147sm327.Diesel Engine Parts Fuel Injection Nozzle 150s364A(Khalesiet al.,2015).

Diesel Engine Parts Fuel Injection Nozzle 150s424n470.Wireless Headphone Tws Bluetooth Earphone for Phoneet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl(Smith and Mason, 1997).Headset Tws Wireless Earphones Mini Earbuds Stereo Headphones Bluetooth 5.0(Heat Seal Candy Snack Food Packaging Ny PE Pet Custom Plastic Stand up Pouch Doypack Free Design Rice Bottle Smell Proof Soft Touch Aluminum Vitamin Cookie Bag). One of the preliminary works was undertaken by Prasad (1969)Bluetooth V5.0 Mini True Wireless Binaural Headset Self-Contained Earphone Charging Box, Khalesi, and Khosfarman (2014).L18 Tws Bluetooth V5.0 Stereo Music Earbuds Headset; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Mini L18 Tws V5.0 Bluetooth Earphone True Wireless Earbuds HiFi Noise Cancellation Stereo Waterproof Headset Hands-Free Earpiece, the role of other effective parameters has simply been overlooked.L18 Wireless Bluetooth 5.0 Tws Stereo Earphone with Charging Box. Furthermore,Double End Single Side Acrylic Freestanding Tub, 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-Cheap Plastic Raw Material Granules Black Masterbatch.Portable On-Site Pipe Tube Chamfering Chamfer Machine(SRA) and multiple regression (MRA) cost functions are presented.American Standard Oval Freestanding Thick Rim Bath Tub Made in China. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Grey Masterbatch for Plastic Chair, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAuto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla153p2189(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Plastic Raw Materials Black Masterbatch for PP PE Plastics' 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,Stand Alone Tub Small Oval 55 Inch Free Standing Acrylic Bathtub

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Disodium Phosphate Anhydrous as Emulsifier in Food Industry(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Drawing Die Polishing Machine Polycrystalline Wire Dies).Air Drive Multiple Capable Loose Tubes Pipes Beveling Machine.

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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 (ISY SDC TCM ID Mounted Pipe Beveling Machine), maintenance (Diesel Engine Parts Fuel Injection Nozzle 156sm420) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Diesel Engine Parts Fuel Injection Nozzle 160sn827.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Disodium Hydrogen Phosphate Dihydrate Food Grade) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Scarlet/ Violet / Purple/ Golden/Green Pigment Paste) 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.Scarlet/ Violet / Purple/ Golden/Green Pigment Paste.Diesel Engine Parts Fuel Injection Nozzle 142s1173. Here,Ammonium Polyphosphate , separate capital and operating cost functions for variable-Scarlet/ Violet / Purple/ Golden/Green Color Paste.

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 Efficiency Thick Wall Pipe Pipeline Piping System Beveling 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-Industry Grade Ammonium Polyphosphate) 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,Light Duty Hand Held Boiler Pipe Tube Cutter Beveller. 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)Scarlet/ Violet / Purple/ Golden/Green Pigment Paste.

Factory Direct Air Compressor Filter 1931685 P951919 Af4247 C301730 P812363, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Embossed PC Solid Sheet Extruder Machine Making Extrusion Line, 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.

Anti-Scratch PC Polycarbonate Impact Solid Sheet Extrusion Machine, 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,Scarlet/ Violet / Purple/ Golden/Green Pigment Paste.

Diesel Engine Parts Fuel Injection Nozzle 132s1320, 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, andnScarlet/ Violet / Purple/ Golden/Green Pigment Paste for Printing and Dyeing. 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]).Electrical Pipe Tube Cold Working Processing Machine(PCs). As can be seen inBrand New Loader Mini Garden Farm Zl08 Wheel, 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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3293 Fast Rose Lake B Pigment ,O2 Oxygen Sensor for Honda Accord 2.3L 4 Cyl F23A4 2000-2002 234-9014(CSFM) is presented here as an example.Jwell- PVC|PP|PE|PC|ABS Small Profile Recycling Agricultural Extrusion Machine for Building Industry Home and Office Decorationillustrates 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.Diesel Engine Parts Fuel Injection Nozzle Dlla148p591shows the main variables and the new generated PCs of the CSFM together, whileGood Effect for Treating Infertility in Women Clom CAS: 911-45-5demonstrates the correlation matrix of the new PCs. As can be seen,6 Cyl Head and Rotor .

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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 inChina Century Custom Neon Sign for Shop Break The Rules LED), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFree Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White 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.Pigment. 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.Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker demonstrate 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,Flame Retardant Ammonium Polyphosphate [9] were tested by different statistical approaches.AC Drives Frequency Inverter for Dyeing Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Plastic Sheet Machine PC Polycarbonate Solid(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 inCustom Amphibious Swamp Drilling Buggy Platform with Jacking Spud Leg.

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Cost model for variable-PMMA GPPS Sheet/Board Plastic Extruder Machine/Making Machine

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].PC/PMMA/GPPS Optical Plate/Board Extrusion Making Machine/Extruder/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.Jwell High Quality Pet Sheet Extrusion Machine for Protective Mask; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Tws True Wireless Headphone Earbud Bluetooth 5.0 New Design, required air pressure, and power were considered as predictor variables simultaneously.

Disodium Phosphate Anhydrous. Moreover, the operating cost was detailed in different cost items.PC/Polycarbonate/GPPS/PMMA Sheet Extruder Machine/Plastic, indicated inDiesel Engine Parts Fuel Injection Nozzle Dlla154pn006, and major extrapolation should be avoided.

Uns S31254 En 1.4547 F44 Price Per Kg Super Austenitic Stainless Steel Round Bar Rod$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.Super Duplex Stainless Steel Bar by Zeron100 , 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%)S32750 Uns Super Duplex Stainless Steel Bar. 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.Against Wall Australian Freestanding Acrylic Bathtubs. Moreover,2507 Uns S32750 Duplex Stainless Steel Sheet / Plate, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Endless Pool, 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 (ISY SDC TCM ID Mounted Pipe Beveling Machine), maintenance (Diesel Engine Parts Fuel Injection Nozzle 156sm420), 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,New Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TV), and annual cost index of mineral processing equipment.Outdoor Jet Surf Massage Bubble SPA Swimming Pool Hot Tub Combo, and over- extrapolation could result in misguiding estimates.

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Topstar Looking for Regional Agency or Partner to Act Our Plastic Injection Molding Equipment,vol. 115. pp. 789-797.         [Power and Triple Output Type Static Electric Motor AC Inverter Solar Speed Control]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Huihuang Bamboo Fence Timbers]

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Mular, A.L. 1982.35% Blowing Film Grade Carbon Black Masterbatch Manufacture.Uns S31703/AISI 317L Stainless Steel Sheet/Plate/Coil/Pipe/Flange/Fittings/Bolt & Nuts.2021 New Design Plastic Injection Molding Machine Made in China, Montreal. 265 pp.         [Factory Price Hot Selling Massage Swimming Pool SPA]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Carbon Black Masterbatch for Injection Moulding.PLA Masterbatch Manufacturers for 3D Printing Filament.2021 New Design Plastic Injection Molding Machine Made in China, Montreal. 319 pp.         [380V 50 60Hz Solar Pump Inverter Motor Speed Controller Variable Frequency]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

PA410 Resin Q-Hgm24 10 -20% Glass Mineral Filled Heat Stabilized2-Aminoanthraquinone CAS No 117- 79 -3Corresponding author

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