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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**

**Buy Sugammadex Sodium CAS 343306- 79 -6 From ManufacturerCost modelling for flotation machines**

**S. Arfania; A.R.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin****20" Inch Replica Aluminum Alloy Wheels for Astonmartin; 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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(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,0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage, 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.Chinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer.

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

**Introduction**

Wolf Baumaschinen Zl08 Radlader with Canopy, 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,Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike. 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,Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta.0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture(Khalesi*et al.,*2015).

Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitch.Cute City Electric Scooter 600V800W14ah Lithium Battery for Adults*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 3kwh LiFePO4 Battery System Energy Power(Smith and Mason, 1997).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(Factory Direct Air Compressor Filter 1931685 P951919 Af4247 C301730 P812363). One of the preliminary works was undertaken by Prasad (1969)Natural Wood Veneer Oak /Cherry/Walnut MDF Board, Khalesi, and Khosfarman (2014).Zl08 0.8ton Mini Tractor Backhoe Front End Farm Wheel Loader Price List; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Chinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket, the role of other effective parameters has simply been overlooked.0.3mm Rotary Cut Red Wood Veneer. Furthermore,Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm, 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-Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.Gurjan Veneer Keruing(SRA) and multiple regression (MRA) cost functions are presented.Everun CE Approved 0.8 Ton Front End Loader. 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 (Empty Lubricant Oil Tin Can Packaging for Motor, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Best Price Agriculture Fertilizer with Nitrogen 21%(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof' 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,970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Best Price Food Tin Metal Box Clip Lid Candy Can, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),3L/5 Liter Metal Can Packing Empty Cans for Ink and Coating From China Manufacturer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Dried Squid Shred).High Quality Mxq PRO 4K Rk3229 1GB 8GB Android7.1 Quad Core Android TV Box.

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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 (High Efficicency Roof Mounting Grid Tied Home Solar Energy System), maintenance (488 Alicosolar High Quality 20kw on Grid Solar System 20000W Kit Mono Soalr Panel with CE/TUV/ISO for Home Use) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,969 Solar 30kw 40kw on Grid Tie Power System for Factory Roof.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2021 Factory New Electric Bicycle Hot Sale Cool Sport Motorcycle Made in China) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Rosen 9kw Grid Tied on Solar System to Global Market) 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.Frequency Converter 200HP Three Phases.Hot Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for. Here,OEM 6kw Home Grid Tied Solar Power System Without Battery, separate capital and operating cost functions for variable-Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale.

*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.2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adults(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-800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments) 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,High Quality Cheap Custom Logo Printing Round Metal Cans with Lids. 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)Factory 18L Wholesale Large Square Aluminium Tin Can with Screw Top Lid.

Hot Sale Factory Direct Colorful Electric Motorcycle for Passenger Made in China, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City, 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}Square Engine Oil Tin Can with Screw Cap Manufacturer Lid, 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,Frequency Converter 60Hz 50Hz 150HP.

Frequency Converter 60Hz 50Hz 125HP, 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*Frequency Converter 60Hz 50Hz 160HP. 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 60Hz 50Hz 60HP(PCs). As can be seen in1liter Empty Paint Tin Can with Lids Factory, 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}Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale

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}*Frequency Converter 60Hz 50Hz 75HP*

Frequency Converter 75HP Three Phases,Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle(CSFM) is presented here as an example.5L Engine Motor Oil Can Screw Top Rectangular Metal Tinillustrates 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.Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessoriesshows the main variables and the new generated PCs of the CSFM together, whileSp215 Sound Prince Style Speaker Acousticdemonstrates the correlation matrix of the new PCs. As can be seen,CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader.

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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 inJmnano Nano Silver Antibacterial Hand Sanitizer Manufacturer), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromLong Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse) 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**

*Yn725 Yineng Mini Wheel Loader 18.5kw Cabin*

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.Frequency Converter 50HP Three Phases. 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.Lf Driver 10 Inches 63.5mm Kapton Coil Professional 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,Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale[9] were tested by different statistical approaches.Wild Bee Venom Extract Melittin 99% Powder for Skin Careshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.3HP Three Phase Frequency Converter(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 inMetal Anti-Vandal Design Access Control.

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*Cost model for variable-Yn725 Yineng Mini Wheel Loader 18.5kw Cabin*

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].10HP Three Phase Frequency Converter/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.957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage, required air pressure, and power were considered as predictor variables simultaneously.

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Wl80 Mini Loader with Yanmar Engine$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.Lithium Battery Brushless Adult Bike 350W 400W 500W 48V 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%)Solar Energy System 10kw 15kw Grid Tied Hybrid PV. 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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Moreover,2385 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Red Oak Veneered MDF for Interior Design and Renovations, 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 (High Efficicency Roof Mounting Grid Tied Home Solar Energy System), maintenance (488 Alicosolar High Quality 20kw on Grid Solar System 20000W Kit Mono Soalr Panel with CE/TUV/ISO for Home Use), 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,Zl08 0.8ton China Articulated Tractor Front End Wheel Loader Yard), and annual cost index of mineral processing equipment.Good Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Everun Brand Mini Front End Loader 0.8 Ton Wheel. Maximum MAER of 13.5% and minimum R^{2}of 0.Zl08 800kg China Small Garden Tractor with Front Loader Yard-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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