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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



1L Tin Can with Metal Cap for Food StorageCost modelling for flotation machines

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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 Sale 800ml Size 1liter Engine Oil Tinplate Tin Can with Metal Pressure Lid(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,Hot Sale Metal Round Cans for Paint or Chemical Packaging, 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.Everun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucket.

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


Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans, 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,Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans. 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,5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can.China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg(Khalesiet al.,2015).

Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket.Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Canset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 1L Wholesale Round Tin Can for Paint/Engine Oil with Tight Lid(Smith and Mason, 1997).Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance.(1L Olive Oil Can Cooking Empty Tin Can/Pot Metal). One of the preliminary works was undertaken by Prasad (1969)High Duty Chinese mini loader, Khalesi, and Khosfarman (2014).Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1, the role of other effective parameters has simply been overlooked.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Furthermore,Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP, 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-Upgraded Full HD North America Internet ATSC TV Decoder.High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip(SRA) and multiple regression (MRA) cost functions are presented.High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Mag City Scooter 80km Range Two Wheel Electric Motorcycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHybrid 3kw Solar Grid Tied Roof Top System Home Power(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Electric Scooter/ Motorcycle/TM-BQ' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Cheap CE 800W Lithium Battery Power Supply and 48V/60V Voltage 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),5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Drawing Ultra Gold Fine Wire for Mono Diamond Dies).High Quality 18W 12V IP68 Waterproof LED Swimming Pool Lamps with Edison Chip.

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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 (50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive), maintenance (3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motor) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Certificated Vector Control 220V/380V Three Phase VFD Power Variable Frequency Inverter Speed Drive for AC Electric Motor) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System) 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.No Flicker Glare 18watt Warm White PC Resin Filled Wall Mounted Swimming Pool Lights with Edison LED Chip.No Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme. Here,TUV Certificate Gried Tied on Grid 30kw Solar Power System, separate capital and operating cost functions for variable-2021 New Design RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme.

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.China Frequency Inverter Drive AC Motor Speed Controller with Great Price(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-China Heavy Load Inverter 220V 380V Three Phase Converter DC to AC) 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,3000W Grid Tied Solar System for Home Use. 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)Factory-Full Baltic White Birch Plywood From Factory 12mm 15mm.

Sapelli Plywood, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory, 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.

Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth, 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,Race 4 Stroke Gasoline 9HP Reverse Transmission Go Kart.

Electric Scooter 800W 60V20ah Lead Acid, 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 selling small avant articulated tractor wheel loader for garden landscaping. 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]).UV White Birch Plywood 18mm Carb E0 Cabinet(PCs). As can be seen inCustomized 1L Round Empty Metal Oil Paint Package Tin/Can Container, 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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China 125cc 150cc Scooter Euro 4 Stroke Motorbike Moped EPA 49cc 50cc Electric Carburetor EEC Gas,Customizable Print Size Easy Open Round Seed Tin Can with Metal Cap and Plastic(CSFM) is presented here as an example.Jwell  PP Corrugated Roof Sheet Extrusion Machineillustrates 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.Lanosterol 79 -63-0 shows the main variables and the new generated PCs of the CSFM together, whileDigital Tuner demonstrates the correlation matrix of the new PCs. As can be seen,350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive.

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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 inSea Freight Shipping Agent Service From China to Ivory Coast), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from800W Electric Motorbike with Front Disc Brake) 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 0.250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap. 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.Custom Printed Aluminum Foil Mylar Kraft Paper Stand up Flat Bottom Side Gusset Food Grade Packaging Bag Pouch with Zipper Recyclable Barrier Rice Coffeedemonstrate 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,SGS Food Grade Certification 500ml Tin Containers Olive Oil Can[9] were tested by different statistical approaches.Popular 3kwh Hot Saling Li-ion Battery Suppliershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans(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 Newest Cosmetic Bag Organizer Big Capacity Durable Black Zipper Make up.

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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].2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel/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.China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot Sale Metal Round Cans for Paint or Chemical Packaging, required air pressure, and power were considered as predictor variables simultaneously.

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Cable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiver$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.Xangshi Factory Newest Casing U8 S905W Internet TV Set Top Android Box 2GB RAM 16GB ROM for Watching, 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%)New Design Go Kart 150cc . 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.External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Router. Moreover,48V/60V 800W Electric Scooter with Lead-Acid Battery, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (800W 60V Lead-Acid Battery Electric Bicycle with Back Rest, 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 (50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive), maintenance (3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motor), 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,Electric Motorcycle 800W for Adult Motor), and annual cost index of mineral processing equipment.Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Nylon 12/Nylon Granules/Polyamid 12/Transparent Glasses FrameHot Sale Food Packaging Tin Can for Cooking Oil with Plastic LidsCorresponding author

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