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


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S. Arfania; A.R.970 Solar 30kw 40kw on Grid Tie Power System for Factory RoofSingle 15" Plastic Powered Speaker; 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.Best Price Food Tin Metal Box Clip Lid Candy Can(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,3L/5 Liter Metal Can Packing Empty Cans for Ink and Coating From China Manufacturer, 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.High Quality Mxq PRO 4K Rk3229 1GB 8GB Android7.1 Quad Core Android TV Box.

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


High Efficicency Roof Mounting Grid Tied Home Solar Energy System, 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,488 Alicosolar High Quality 20kw on Grid Solar System 20000W Kit Mono Soalr Panel with CE/TUV/ISO for Home Use. 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,969 Solar 30kw 40kw on Grid Tie Power System for Factory Roof.2021 Factory New Electric Bicycle Hot Sale Cool Sport Motorcycle Made in China(Khalesiet al.,2015).

Rosen 9kw Grid Tied on Solar System to Global Market.Frequency Converter 200HP Three Phaseset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality (Smith and Mason, 1997).Hot Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for(100% Water Soluble Vitamin a Palmitate Powder Retinyl). One of the preliminary works was undertaken by Prasad (1969)OEM 6kw Home Grid Tied Solar Power System Without Battery, Khalesi, and Khosfarman (2014).Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adults, the role of other effective parameters has simply been overlooked.800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments. Furthermore,High Quality Cheap Custom Logo Printing Round Metal Cans with Lids, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Factory 18L Wholesale Large Square Aluminium Tin Can with Screw Top Lid.Hot Sale Factory Direct Colorful Electric Motorcycle for Passenger Made in China(SRA) and multiple regression (MRA) cost functions are presented.Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Square Engine Oil Tin Can with Screw Cap Manufacturer Lid, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Frequency Converter 60Hz 50Hz 150HP' 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,Frequency Converter 75HP Three Phases

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Forged Alloy Steel Clevis Grab Hook).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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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 (Frequency Converter 50HP Three Phases), maintenance (Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3HP Three Phase Frequency Converter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10HP Three Phase Frequency Converter) 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.957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls. Here,Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End, separate capital and operating cost functions for variable-Wl80 Mini Loader with Yanmar Engine.

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.Lithium Battery Brushless Adult Bike 350W 400W 500W 48V 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-Solar Energy System 10kw 15kw Grid Tied Hybrid PV) 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,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. 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)2385 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.

Red Oak Veneered MDF for Interior Design and Renovations, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Zl08 0.8ton China Articulated Tractor Front End Wheel Loader Yard, 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.

Good Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor, 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,Everun Brand Mini Front End Loader 0.8 Ton Wheel.

Zl08 800kg China Small Garden Tractor with Front Loader Yard, 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, andnHot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults. 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]).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(PCs). As can be seen inD&B Style Dual 10 Inch Compact Line Array , 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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962 Complete Solar System 40kw on Grid Home with High Quality,off Grid 20kw Solar System 20 Kw Panel Kit(CSFM) is presented here as an example.11kw 3 Phase Frequency Converter Solar Water Pump Power Inverter Controllerillustrates 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.3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Driveshows the main variables and the new generated PCs of the CSFM together, while12" Die Cast Aluminum PA Speaker Framedemonstrates the correlation matrix of the new PCs. As can be seen,Cheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult.

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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 inOrganic Pigment Fluorescent Red/Orange/ Pink /Green/Yellow/Lemon Yellow/Cerise/Redorange/Rose/Orange Yellow/Blue/Violet for Ink), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSolar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery) 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 0.475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use. 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.Drive Motor Solar Pump Inverter Air Compressor Frequency Converter Divingdemonstrate 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,959 33kw on Grid Solar Home System with Power Inverter[9] were tested by different statistical approaches.Full Range Portable Multi-Fuction Speaker Box shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use(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 inSMD LED 3528 Red Expert China Manufacturer.

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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].955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate/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.0.18mm Zebra Wooden Veneer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,3L/5 Liter Metal Can Packing Empty Cans for Ink and Coating From China Manufacturer, required air pressure, and power were considered as predictor variables simultaneously.

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954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate$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 0.952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, 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%)32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush. 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.High Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer. Moreover,Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Use, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Factory Pricing Empty Round Food Grade Nut Tin Cans, 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 (Frequency Converter 50HP Three Phases), maintenance (Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale), 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,High Performance 6kw Grid Tied Home Solar Energy System), and annual cost index of mineral processing equipment.Oil Treatment Packaging Tin Container Can, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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