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*On-lineÂ version*Â ISSN2411-9717

*PrintÂ version*Â ISSN2225-6253

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

#### http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

**GENERAL PAPERS**

**Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in FarmsCost modelling for flotation machines**

**S. Arfania; A.R.Wolf Mini Wheel Loader Wl950 Farm****Universal LPG Gas Completed ECU Conversion Kit; M.R. Khalesi**

Tarbiat Modares University, Iran

**SYNOPSIS**

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Zl08 0.8 Ton Mini/Small Articulated Hydraulic Front End Wheel Loader(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,Tin Cans with Metal Cover for Paint or Chemical Packaging, 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 R^{2}, 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 R^{2}of 0.Yihe Brand 300-600m Face/Core Veneer Door Furniture Paper Tape Reeling and Gummed for Joining Repairing.

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

**Introduction**

5L Chemical Oil Tinplate Can with Metal Press Cover, 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,15L Tinplate Closed Paint Bucket Water Based Glue Metal Pail. 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,0.28mm Red Oak Artificial Veneer.Olive Oil Metal Container Edible Tin Can with Plastic Lid(Khalesi*et al.,*2015).

5L Engine Motor Oil Can Screw Top Rectangular Metal Tin.Pipo X8 Win 10 + Android 4.4 Dual Boot Intel Z3736f Mini PC TV Box Wholesale Smart Set Top*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Small Metal Tin Can with Open Top Lid for Lubricant(Smith and Mason, 1997).Factory Outlets 4GB 4K A95xf3 Air Android WiFi Firmware Update Amlogic S905X3 2GB Free Porm TV Box(Euro5). One of the preliminary works was undertaken by Prasad (1969)New Product T95 Max+ S905X3 World 9.0 6K 4G Lte Download User Manual for Max 4K Smart Android Box TV, Khalesi, and Khosfarman (2014).Food Grade 280ml Empty Tin Can for Camellia Oil; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,800W Fashion Power Motorcycle Cheap Electric, the role of other effective parameters has simply been overlooked.Rectangular Glue Tin Can Empty Clear Paint. Furthermore,Metal Tinplate Container Engine Oil Can with Screw Cap, 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-Square Tin Paint Packaging Can Lubricant Oil Containers.800W Electric Scooter/Motorcycle with LED Light(SRA) and multiple regression (MRA) cost functions are presented.Citycoco Electric Motorcycle E6 Cheap OEM E Bike. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

**Methodology**

*Data*

Thirty-seven major flotation machines (800W Deft Fresh Type Drum Brake Brushless Motor Electric Motorcycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPolice Using of Motorcycle for Cruiser with Displacement 320cc(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Euro5' 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,72V20ah Battery 800W Motor 60km Distance Range Electric Motorcycle

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,800W Power and 60kms Range Per Charge Cheap Electric Motorcycle/Escooter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Frequency Converter Special for Driving Asynchronous Motors 380V 50/60Hz(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Abdl with disposable waist elastic band baby diaper).Multi Birch Veneer Plywood Manufacturer.

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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 (Empty Round Tin Can Paint Package Container), maintenance (Factory-Engineer White Oak Veneer in 0.25mm) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Rectangular Brake Oil Container Motor Engine Tin Can.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Customized Multi Birch Veneer Plywood Manufacturer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Edible Oil Can Manufacturer Square Food Grade Metal Tin) 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.China Titanhi Zl08 800kg Compact Agricultural 0.8t Micro Pay Loader 4WD.Compact structure mini loader/wheel loader/ with 0.8ton bucket for building construction. Here,CE Approved Wolf 0.8ton Bulldozer Mini Loader with Bucket, separate capital and operating cost functions for variable-1051 China Manufacturer Big on Grid Solar System Government Projects 1 MW 5wm 10.

*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.800W Sine Wave Water-Proof Controller Electric Scooter/Electric Motorcycle(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-Metal Tin Can Engine Oil Empty Tinplate Container) 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,Rosen 35kw Grid Tied on Solar System to Global Market. 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:

where*Y*refers to capital or operating costs,*X*defines an independent variable (one of the machine predictor variables), and*a*and*b*are constant values (parameters)800W High Speed Electric Scooter/Bike.

800W 60V20ah Brushless Electric Motorcycles, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (10L Customized Tin Cans Paint Coating Used Metal Square Can, Khalesi, and Khosfarman, 2014).

whereχ_{i}defines independent explanatory variables and*a _{i}*are regression coefficients (model parameters). As was mentioned, independency of

*x*variables 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.

_{i}500W/ 800W / 1000W E Scooter/Electric Moped/Electric Bike, R^{2}, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R^{2}is 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]:

where*X _{obs}*is the observed value,

*x*the estimated value at time/place

_{e}*I,*and n,Square Engine Oil Can Metal Paint Tin Container with Plastic Lid.

800W Fashion Style High Speed Long Range Cheap Adult Electric Motorcycle for Sale, analysis of residuals, tests of MAER values and evaluation of R^{2}were 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).

where*C _{e}*is the estimated cost,

*C*the actual cost, and

_{a}*n*Cheap Small Electric Scooter Moped 800W Motorcycle. 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]).Frequency Converter for Small Power Motors 3pH 380V 50/60Hz(PCs). As can be seen inYn725 Yineng Mini Wheel Loader 18.5kw Cabin, neither*X _{1}*nor

*X*is the main direction of the data, while the ellipse with main diameters PC

_{2}_{1}and PC

_{2}matches 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 and

*X*as Equations [5] and [6]:

_{i}Chinese Factory Tin Can with Brush for Glue and Sealants Adgesives

In this research, main variables of*X _{1}, X_{2}*.

*.. X*were 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.

_{n}*Manufacturer of Rectangular Brake Oil Motor Engine Tin Can*

2872 High Efficiency Home Solar Modules 30kw 50kw Power on Grid Photovoltaic System,Automobile Paint Can 5L Square Tin with Metal Cap for Ink Oil(CSFM) is presented here as an example.60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UKillustrates 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.2L Galvanized Tin Cans for Cooking Oil with Plastic Lidsshows the main variables and the new generated PCs of the CSFM together, whileIndustrial Dust Collector Ash Separator Precipitators Dirt Catcher Electrostatic Precipitatordemonstrates the correlation matrix of the new PCs. As can be seen,866 5kw on Grid Solar System with Power Inverter for Home.

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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)

where*X _{i}*are main technical variables (like power or required air),

*a*are calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated in925 Sterling Silver Antique Charm Jewelry Manufacturer in China), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromCustomized Hot Stamping Printed Bags with Your Own Logo or Design Food Packaging Airtight Pouches Aluminum Foil Zip Lock Child Resistance up Squeeze) 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**

*Food Grade Metal Tin Can with Printing Logo for Cooking Oil*

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.Good-Tightness Square Tin Can Metal Engine Oil with Sscrew Lid. The R^{2}is about 0.94 for both cases,*i.e.*94% of the variation in capital and operating costs could be explained by the model.11kw Grid Tied Solar Energy System Industrial Power Supplydemonstrate 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,800W Electric Scooter [9] were tested by different statistical approaches.Safety Shape Bag /Food Packaging Contact Plastic Container for Resealableshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Good-Sealing Square Tin Can Engine Oil with Metal Lid(a1, a_{2}, a_{3}) and new intercept (a_{0}) 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 inDeep Groove Ball Bearing.

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*Cost model for variable-0.15mm-1.0mm Okume/ Bintangor/ Sapelli Natural Veneer From Linyi Orikey Wood*

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].Special Design Braided Veneer with Red Walnut/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.

**Discussion**

Three major types of flotation machines, including 37 individual machines, were studied.Natural Wood Bintangor Face Veneer for Door and Furniture; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Tin Cans with Metal Cover for Paint or Chemical Packaging, required air pressure, and power were considered as predictor variables simultaneously.

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Frequency Converter with SVC and Vf Control 380V 50/60Hz$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.Electric Motorcycle , 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 R^{2}values 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%)High-Performance Frequency Converter Three Phase 380V 50/60Hz. In the MRA cases, this property is owed to the SFM (3.05%).

**Conclusion**

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.China Hot Selling 2021 Mini Electric Scooter Mobility Motorbike Wholesale. Moreover,Electric Motorcycle , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Electric Motorcycle , 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 (Empty Round Tin Can Paint Package Container), maintenance (Factory-Engineer White Oak Veneer in 0.25mm), 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,Electric Motorcycle), and annual cost index of mineral processing equipment.Electric Motorcycle , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},750ml Metal Tin Can Container for Chili Oil Canning. Maximum MAER of 13.5% and minimum R^{2}of 0.Hot Sale Food Packaging Tin Can for Cooking Oil with Plastic Lids-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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