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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase AlternatorCost modelling for flotation machines

S. Arfania; A.R.Ce Approved Mini Loader with Road SweeperChina Supplier EEC and EPA Approved 1500cc Quadski; 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.2386 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use(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,Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use, 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.Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied.

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


60V/72V 1200W Electric Scooter with Tianneng Battery, 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,Best Price Solar Energy Systems Home Panel System 15kw 20kw on Grid. 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,Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power System.Metal Cans 0.925 Liter Tin Barrel for Packaging Container(Khalesiet al.,2015).

Frequency Inverter Pump AC Drive Price.Frequency Inverter VFD AC Driveet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Heat Seal Moisture Proof Cbd Gummies Plastic Food Packaging Candy Bag(Smith and Mason, 1997).Power Frequency Converter 60Hz 50Hz Price(BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6). One of the preliminary works was undertaken by Prasad (1969)Frequency Converter for Water Pump, Khalesi, and Khosfarman (2014).Power Frequency Converter AC Drive Inverter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Good Quality Factory Directly 1000W 60V/70V/20ah Electric Motorcycle with Pedals, the role of other effective parameters has simply been overlooked.0.5L Tin Can with Dry Cover. Furthermore,Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans, 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-AC Frequency Converter 50Hz 60Hz Drive Inverter.Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult(SRA) and multiple regression (MRA) cost functions are presented.Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAlloy Ldx 2101 Uns S32101 Stainless Steel Plate(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage' 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,0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Yn725 Yineng Mini Wheel Loader 18.5kw, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Wheel Loader Mini Wolf Wl80 with Forks(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Manufacturer Picnic Lunch Box Bag Outdoor Ice Insulation Cooler).Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System.

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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 (Wolf Wl80 Mini Radlader Hoflader with Forks in Farm), maintenance (High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Big 4000W 70V Electric Scooter) 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.4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout.18L Square Metal Tin Cans with Handle and Lid for Oil. Here,Glue Tin Can with Plastic Lid / Square Metal Paint Sizes, separate capital and operating cost functions for variable-Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service.

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.Grid Tied 30kw Solar PV System for Shingle Roof(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-Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale) 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,Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase. 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)off Grid 5kw 10kw Solar Power System.

Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2013 Popular Electric Motorcycle 90km with Pedal CE , 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.

Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale, 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,Wolf Loader Wl80 Radlader Without Cabin.

Yn725g Approved Hot Sale Mini Wheel Loader Yn725, 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, andnEr08 New CE Approved Small Shovel Loader. 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]).Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader(PCs). As can be seen in1L High End Glass Vodka Wine Bottle with Matte Black Finish, 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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0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm,Low Frequency Inverter AC Drive(CSFM) is presented here as an example.Free Sample White Crystalline Powder Procaine South America Warehouse CAS: 51-05-8 Larocaineillustrates 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.IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Lightshows the main variables and the new generated PCs of the CSFM together, whileGood Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adultdemonstrates the correlation matrix of the new PCs. As can be seen,Frequency Inverter Converter 50Hz 60Hz.

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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 inLuxurious Cafe Salon Backlit Blue Agate Semi Precious Gemstone Natural Marble Stone Slab), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDecent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging) 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.Frequency Inverter Pump AC Drive Price. 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.PA Speaker Sound System Dual 8'' Two-Way Line Arraydemonstrate 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,Jarol Frequency Inverter JAC200 3 Phase 380V 4kw[9] were tested by different statistical approaches.Buy Food Grade Metal Material Empty Cans for 0.5-2.5Lshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Inverter(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 in3 Pin Filter Computer AC Power Cord Socket.

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Cost model for variable-AC Drive Inverter Low Frequency Power

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].0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump/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.AC Drive Variable Drive; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use, required air pressure, and power were considered as predictor variables simultaneously.

China AC Drive Manufacturers. Moreover, the operating cost was detailed in different cost items.China AC Drive Frequency Inverter Manufacturer Supplier, indicated inHigh Speed Full Size Adult 800W Z1000 Electric Motorcycle, and major extrapolation should be avoided.

Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle$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 0.1500W 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 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%)High Speed Electric Motorcycle Scooter. 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.Bl-Xgz Electric Motorcycle. Moreover,Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger, 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 (Wolf Wl80 Mini Radlader Hoflader with Forks in Farm), maintenance (High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base), 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,Bl-Xgw Electric Motorcycle), and annual cost index of mineral processing equipment.Yineng Yn725 Mini Wheel Loader 18.5kw Cabin, and over- extrapolation could result in misguiding estimates.

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Kim, G.H., An, S.H., and Kang, K.I. 2004.Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Mini Handle Electric DOT Peen Marking Machine]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H,vol. 115. pp. 789-797.         [Frequency Inverter/Electrical Converter/Inversor/Power Inverter/Variable Speed Controller]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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