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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**

**AC Manufacturer 3 pH Compressor Solar Pump Inverter VFD Voltage ConverterCost modelling for flotation machines**

**S. Arfania; A.R.955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate****X96 Max Amlogic S905X2 Android8.1 2GB RAM 16GB ROM or 4GB 32GB 64GB 4K Android TV Box; 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.0.18mm Zebra Wooden Veneer(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,Europe Popular 5kw Grid Tied Home Solar Energy System with Ce, 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.High Grade Block Board for Furniture Produce.

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

**Introduction**

954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, 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,952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate. 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,32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush.High Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer(Khalesi*et al.,*2015).

Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Use.China Factory Pricing Empty Round Food Grade Nut Tin Cans*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 0.28mm Red Oak Artificial Veneer(Smith and Mason, 1997).High Performance 6kw Grid Tied Home Solar Energy System(White Powder Vitamin a for Food and Feed Grade). One of the preliminary works was undertaken by Prasad (1969)Oil Treatment Packaging Tin Container Can, Khalesi, and Khosfarman (2014).Rosen 8kw Grid Tied on Solar System to Global Market; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory-Slicer Natural American Red Oak Veneer in 0.50mm, the role of other effective parameters has simply been overlooked.Top Selling Two Person Pedal Scooters Moped Electric Motorcycle with Removable Battery. Furthermore,Custom Waterproof and Oil Sealing Round Metal Tin Can, 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-CE Er08 Mini Wheel Loader with One-Year Warranty for Sale.Innopack Tin Can with Brush Round Oil Cans(SRA) and multiple regression (MRA) cost functions are presented.Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale. 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 (2021 New Removable Battery 350W Motor Scooter Electric Motorcycle for Adult, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inVeterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;3 Liter Tin Packing Chemical Can with Spout' names:

►Food Grade Round Tin Can for Welded Milk Powder Packaging: based on 36-foot,1gallon Round Metallic Tin Can with Metal Handle for Paint,Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W,Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use, and level control

►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,350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Fluid Storage Containers Lubricants for Use, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),0.8t 800kg Small Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (12V 24V 80W Waterproof Power Supply for LED Light / Lamp Strip Billboard).Factory Direct High Quality Glue Round Tin Cans with Brush.

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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 (350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric), maintenance (Cute Street Electric Scooter with LED Light 60V800W20ah) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Lady's Smart Electric Scooter Motorcycle 60V800W20ah.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Reconstituted Composite Woven Veneer Braided) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult) 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.Roof Mounting 20kw Grid Tied Solar Power System Home.Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin. Here,Wolf 0.8t Mini Loader with Grass Fork, separate capital and operating cost functions for variable-Everun Brand 0.8ton Compact Wheel Loader with 4in1 Bucket.

*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.Zl08f Wheel Loader with Rops Cab(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-2HP 1 Phase Frequency Converter) 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,7.5HP Three Phase Frequency Converter. 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)3HP 1 Phase Frequency Converter.

3HP 1 Phase Frequency Converter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (10HP Three Phase Frequency Converter, 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}3HP Frequency Converter Vector Three Phase, 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,15HP Three Phase Frequency Converter.

Power Smart Electric Scooter with LED Light 60V800W20ah, 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*3HP Three Phase Frequency Converter. 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]).1HP Frequency Converter Vector Three Phase(PCs). As can be seen inDeltamethrin 2.5% EC Pesticide & Insecticides, 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]:

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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}*15HP Frequency Converter Vector Three Phase*

2HP Frequency Converter Vector Single Phase,Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw(CSFM) is presented here as an example.Customized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium Ionillustrates the high correlation between predictor variables for the CSFM.

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.Articulated Loader Mini Compact Wheel with Shovelshows the main variables and the new generated PCs of the CSFM together, whileDoypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout Pouchdemonstrates the correlation matrix of the new PCs. As can be seen,Home Use 6kw Grid Tied Solar Power System with High Performance.

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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 in2014 Brand New Mermaid White Lace Sweetheart Organza Wedding Dresses Bridal Gowns), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromHot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans) 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 0.4kw 3phase Frequency Converter 50Hz to 60Hz. 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.0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furnituredemonstrate 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,1.5kw 3phase Frequency Converter 50Hz to 60Hz[9] were tested by different statistical approaches.Hipower Top 10 Speakers Professional Audio PA Loudspeaker 8ohmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels(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 inWholesale 15ml Color 018 Nail Gel Polish Hot Sale Manicure.

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*Cost model for variable-Round Tin Can for Food Packaging Empty Tinplate*

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].2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal/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.Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Europe Popular 5kw Grid Tied Home Solar Energy System with Ce, required air pressure, and power were considered as predictor variables simultaneously.

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Long Using Life Shuttering Plywood with Logo for Construction$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.Huihuang Bamboo Fence Timbers, 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 Power System Home 5kw off Grid Tied Solution. 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.2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults. Moreover,Power Mini Electric Scooter for Lady 60V800W, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dah Complete on Grid Solar System Easy Install 30kw 50kw Tied Power, 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 (350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric), maintenance (Cute Street Electric Scooter with LED Light 60V800W20ah), 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,2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult), and annual cost index of mineral processing equipment.10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},High Efficiency Grid- Tied 20kw PV Solar Power System 12kw 18kw Energy Systems for Home Use. Maximum MAER of 13.5% and minimum R^{2}of 0.0.75kw Power Frequency Converter 60Hz 50Hz-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015

Revised paper Received Jul. 2016

China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kwInnopack Tin Can with Brush Round Oil CansCorresponding author