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



China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3Cost modelling for flotation machines

S. Arfania; A.R.Hybrid 3kw Solar Grid Tied Roof Top System Home PowerCustom Waterproof and Oil Sealing Round Metal Tin Can; 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.Intel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC(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,Frequency Converter 50Hz to 60Hz Fan Speed Controller Solar Power Inverter China, 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.Mini 220V Single Phase Input 2.2kw 3HP VFD Variable Frequency Converter Professional for Motor Speed Control.

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


Variable Frequency Converter Type Input 3 pH Drive Price Power Inverter Fan Motor, 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,General Type Input 3 pH 380V Frequency Converter Variable AC Drive. 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,0.8ton Agricultural Tractor Mini/Small Front Wheel Loader.Teak Wood Veneer Woven Design for Plywood Door(Khalesiet al.,2015).

AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 7.5kw.Zl08 Wheel Loader Wl80 Wolf Miniet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Solar Pump Frequency Inverter MPPT Fuction 15kw Made in China(Smith and Mason, 1997).Zl08 0.8ton Articulated Hydraulic Farm Wheel Loader Tractor(Strong Corrosion Resistance High Overload Pressure Sensor). One of the preliminary works was undertaken by Prasad (1969)Popular hot selling 0.8ton mini wheel loader/ front end loader with bucket on sale, Khalesi, and Khosfarman (2014).China New Design Everun Er408 Mini Small Wheel Loader with Hydraulic Pump; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,3 Phase AC Drive for Water Pump and Fan, the role of other effective parameters has simply been overlooked.910 Alicosolar 10kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate. Furthermore,E0 Glue1250*2500mm Wenge Engineer Veneer for Decoration, 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-Wood Woven and Strand Bamboo Veneer Sheets.Rotary Cut Bintagor Veneer for Panels and Furniture with Good Price(SRA) and multiple regression (MRA) cost functions are presented.High Quanlity 1 Phase 3 AC Drive VFD for Pump. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Factory-Okoume Veneer 0.25mm-0.60mm in a and B Grade, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10 Inch KTV System Woofer(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Engineered Ebony Veneer Ecowood Reconstituted Macassar Quarter Cut' 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,Round Gloss Tin Can Metal for Edible Olive Oil Canning

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

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Frequency Inverter 220V 50/60Hz 60HP Three Phases Acdrive(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (P5 RGB Video LED Display Full Color SMD).High-Performance Variable Frequency Inverter 3-Phase 380V.

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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 (Wl80 Mini Loader From Wolf), maintenance (Wolf Mini Wheel Loader Wl950 Farm) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Zl08 0.8 Ton Mini/Small Articulated Hydraulic Front End Wheel Loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Tin Cans with Metal Cover for Paint or Chemical Packaging) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Yihe Brand 300-600m Face/Core Veneer Door Furniture Paper Tape Reeling and Gummed for Joining Repairing) 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.5L Chemical Oil Tinplate Can with Metal Press Cover.15L Tinplate Closed Paint Bucket Water Based Glue Metal Pail. Here,0.28mm Red Oak Artificial Veneer, separate capital and operating cost functions for variable-Olive Oil Metal Container Edible Tin Can with Plastic Lid.

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.5L Engine Motor Oil Can Screw Top Rectangular Metal Tin(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-Pipo X8 Win 10 + Android 4.4 Dual Boot Intel Z3736f Mini PC TV Box Wholesale Smart Set Top) 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,Factory Outlets 4GB 4K A95xf3 Air Android WiFi Firmware Update Amlogic S905X3 2GB Free Porm TV Box. 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)New Product T95 Max+ S905X3 World 9.0 6K 4G Lte Download User Manual for Max 4K Smart Android Box TV.

Food Grade 280ml Empty Tin Can for Camellia Oil, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (800W Fashion Power Motorcycle Cheap Electric, 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.

Rectangular Glue Tin Can Empty Clear Paint, 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,Metal Tinplate Container Engine Oil Can with Screw Cap.

Square Tin Paint Packaging Can Lubricant Oil Containers, 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, andn800W Electric Scooter/Motorcycle with LED Light. 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]).Citycoco Electric Motorcycle E6 Cheap OEM E Bike(PCs). As can be seen in50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive, 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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Euro5,Retro Scooters(CSFM) is presented here as an example.Jarol Solar Inverter 5.5kw 3 Phaseillustrates 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.High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1shows the main variables and the new generated PCs of the CSFM together, whileAsh Solid Wood decoration Boarddemonstrates the correlation matrix of the new PCs. As can be seen,2856 3kVA/5kVA/8kVA/10kVA/12kVA Solar on-Grid Power System for Home/Office/Farm/Hotel.

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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 inHospital ICU Used Oxygen Generator/ O2 Plant), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from15L Tinplate Closed Paint Bucket Water Based Glue Metal Pail) 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.Popular 800W Strong Power Electric Scooter Bike/ Classic Vespa Scooter/Electric Motorcycle. 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.Wireless Module Qualcomm Atheros Qca9880 Wle900vx 802.11AC Wave 1 Minipcie WiFi Network Carddemonstrate 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,72V20ah Battery 800W Motor 60km Distance Range Electric Motorcycle[9] were tested by different statistical approaches.Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farmsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.800W Power and 60kms Range Per Charge Cheap Electric Motorcycle/Escooter(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 in2021 Luxurious Design Bathroom Cabinet White Color Vanity.

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Cost model for variable-Frequency Converter Special for Driving Asynchronous Motors 380V 50/60Hz

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].Multi Birch Veneer Plywood Manufacturer/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.Empty Round Tin Can Paint Package Container; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Frequency Converter 50Hz to 60Hz Fan Speed Controller Solar Power Inverter China, required air pressure, and power were considered as predictor variables simultaneously.

Factory-Engineer White Oak Veneer in 0.25mm. Moreover, the operating cost was detailed in different cost items.Rectangular Brake Oil Container Motor Engine Tin Can, indicated inPolice Using of Motorcycle for Cruiser with Displacement 320cc, and major extrapolation should be avoided.

Customized Multi Birch Veneer Plywood Manufacturer$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.Edible Oil Can Manufacturer Square Food Grade Metal Tin, 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 Titanhi Zl08 800kg Compact Agricultural 0.8t Micro Pay Loader 4WD. 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.Compact structure mini loader/wheel loader/ with 0.8ton bucket for building construction. Moreover,CE Approved Wolf 0.8ton Bulldozer Mini Loader with Bucket, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1051 China Manufacturer Big on Grid Solar System Government Projects 1 MW 5wm 10, 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 (Wl80 Mini Loader From Wolf), maintenance (Wolf Mini Wheel Loader Wl950 Farm), 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,800W Sine Wave Water-Proof Controller Electric Scooter/Electric Motorcycle), and annual cost index of mineral processing equipment.Metal Tin Can Engine Oil Empty Tinplate Container, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Rosen 35kw Grid Tied on Solar System to Global Market. Maximum MAER of 13.5% and minimum R2of 0.800W High Speed Electric Scooter/Bike-feasibility and even feasibility study level of projects.


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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 aChina Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3