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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.Frequency Converter 75HP Three Phases55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17; 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.Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle(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,CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader, 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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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


Frequency Converter 50HP Three Phases, 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,Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale. 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,3HP Three Phase Frequency Converter.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(Khalesiet al.,2015).

10HP Three Phase Frequency Converter.957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificateet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium(Smith and Mason, 1997).China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls(2000kg Mini Cheap Price Nylon Wheel Hand Hydraulic Pallet Truck). One of the preliminary works was undertaken by Prasad (1969)Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End, Khalesi, and Khosfarman (2014).Wl80 Mini Loader with Yanmar Engine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Lithium Battery Brushless Adult Bike 350W 400W 500W 48V Electric Motorcycle, the role of other effective parameters has simply been overlooked.Solar Energy System 10kw 15kw Grid Tied Hybrid PV. Furthermore,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-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(SRA) and multiple regression (MRA) cost functions are presented.Zl08 0.8ton China Articulated Tractor Front End Wheel Loader Yard. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Good Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Audio Speaker System Single 10 Inch Portable Mini Line Array Vr10(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Everun Brand Mini Front End Loader 0.8 Ton Wheel' 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,962 Complete Solar System 40kw on Grid Home with High Quality

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,off Grid 20kw Solar System 20 Kw Panel Kit, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Cheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sale Nylon Makeup Bag Vanity Case Custom Logo Hotel Toiletry Unisex Cosmetic).Rosen 1kw Grid Tied on Solar System to Global Market.

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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 (475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use), maintenance (959 33kw on Grid Solar Home System with Power Inverter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate) 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.0.18mm Zebra Wooden Veneer.Europe Popular 5kw Grid Tied Home Solar Energy System with Ce. Here,High Grade Block Board for Furniture Produce, separate capital and operating cost functions for variable-954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.

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.952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate(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-32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush) 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 B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer. 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)Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Use.

China Factory Pricing Empty Round Food Grade Nut Tin Cans, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Performance 6kw Grid Tied Home Solar Energy System, 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.

Oil Treatment Packaging Tin Container Can, 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,Rosen 8kw Grid Tied on Solar System to Global Market.

Factory-Slicer Natural American Red Oak Veneer in 0.50mm, 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, andnTop Selling Two Person Pedal Scooters Moped Electric Motorcycle with Removable Battery. 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]).Custom Waterproof and Oil Sealing Round Metal Tin Can(PCs). As can be seen inFactory Wholesale H10 H6 Alfawise GPU Mali T720 Android 4GB RAM 32GB ROM in Set Top Boxx99 Boxbox Box TV, 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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Innopack Tin Can with Brush Round Oil Cans,Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale(CSFM) is presented here as an example.High Speed Kawasaki Ninja Motorcycle 250ccillustrates 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.Automatic Shrink Wrapping Machine 0-20package/Minshows the main variables and the new generated PCs of the CSFM together, whileDuplex Stainless Steel Sheet Super 2507demonstrates the correlation matrix of the new PCs. As can be seen,2021 New Removable Battery 350W Motor Scooter 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 inIP65 Rated Two Sided Digital 65inch Outdoor Touch Totem), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2021 Hot-Sale Lt12 Dual 12" Concert Line Array System) 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.Food Grade Round Tin Can for Welded Milk Powder Packaging. 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.5 Litre Extra Olive Oil Tin Can 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,1gallon Round Metallic Tin Can with Metal Handle for Paint[9] were tested by different statistical approaches.3kwh Solar Energy Storage Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W(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 inFashion Promotional Casual Women's White Hole Sweatershirt.

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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].350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale/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.Fluid Storage Containers Lubricants for Use; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader, required air pressure, and power were considered as predictor variables simultaneously.

0.8t 800kg Small Loader. Moreover, the operating cost was detailed in different cost items.Factory Direct High Quality Glue Round Tin Cans with Brush, indicated inEougem CE 1.0 Ton Hydraulic Mini Radlader Zl08, and major extrapolation should be avoided.

350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric$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.Cute Street Electric Scooter with LED Light 60V800W20ah, 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%)Lady's Smart Electric Scooter Motorcycle 60V800W20ah. 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.Reconstituted Composite Woven Veneer Braided. Moreover,Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Roof Mounting 20kw Grid Tied Solar Power System Home, 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 (475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use), maintenance (959 33kw on Grid Solar Home System with Power Inverter), 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,Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin), and annual cost index of mineral processing equipment.Wolf 0.8t Mini Loader with Grass Fork, 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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