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



Yn725 Yineng Mini Wheel Loader 25kwCost 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.Race 4 Stroke Gasoline 9HP Reverse Transmission Go Kart(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,Electric Scooter 800W 60V20ah Lead Acid, 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.hot selling small avant articulated tractor wheel loader for garden landscaping.

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


UV White Birch Plywood 18mm Carb E0 Cabinet, 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,18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywood. 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,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(Khalesiet al.,2015).

350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive.French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Canet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket(Smith and Mason, 1997).250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap(Kraft Paper Bag /Stand-up Food-Packaging-Bag for Dry Food/Mylar Aluminum Foil Laminated Bio High Quality Plastic Food Packaging Hemp). One of the preliminary works was undertaken by Prasad (1969)SGS Food Grade Certification 500ml Tin Containers Olive Oil Can, Khalesi, and Khosfarman (2014).Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids, the role of other effective parameters has simply been overlooked.2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel. Furthermore,China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin, 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-Chinese Eougem Zl08 Wheel Loader with Torque Converter.Articulated Mini Wheel Loader Er08 Telescopic Boom(SRA) and multiple regression (MRA) cost functions are presented.Cable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiver. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Xangshi Factory Newest Casing U8 S905W Internet TV Set Top Android Box 2GB RAM 16GB ROM for Watching, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCommerical Okoume Plywood for Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;New Design Go Kart 150cc ' 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,Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,800W -1000W 60V/72V Electric Scooter with Lead-Acid Battery, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Rosen 5kw on Grid Solar System with Tied Inverter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Direct Manufacturer Sell Business Smart Laptop Computer Bag Rucksack Backpack with USB Charging and Headphone Port Soft).Solar Energy System 5kw Panel Home Grid Tied Power.

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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 (200kw Grid Tied Solar System for Factory Use), maintenance (Grid Tied Inverter 10kw 15kw 20kw Home Set Solar System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1kw Solar Power System Grid Tied 1000W on Panel Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Commercial Solar System 100kw Grid Tied /on 100kVA 60kw) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration) 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.Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT.Hot selling compact 800kgs wheel loader for garden. Here,High Efficiency 6kw Grid Tied Solar Power System for Home, separate capital and operating cost functions for variable-China Safe Automatic CVT 150cc Go Kart Motor with Reverse.

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.3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive(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-Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter) 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,Carb P2 Plywood/EPA Plywood /Okoume. 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)Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China.

Variable Speed Drive Phree Phase Frequency Converter 1000Hz, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Best Quality Acrylic/PVC/Poly /PU Paper Laminated Plywood MDF From 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.

3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive, 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,Carb P2 Okoume Plywood for Furniture.

15mm AAA Grade Film Faced Plywood with WBP Glue, 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, andnChina Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality. 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]).Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging(PCs). As can be seen inReliable Supplier of Chlorphenesin/104-29-0 with Best Price in Stock! !, 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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Full Size 150cc Go Kart ,Go Kart (CSFM) is presented here as an example.Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound 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.99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stockshows the main variables and the new generated PCs of the CSFM together, whileRotary-Cut Okoume Wood Veneer 0.25mm A Grade for Indiademonstrates the correlation matrix of the new PCs. As can be seen,Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid.

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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 inPlush Small Sitting Bear and Rabbit Dog with Soft Material), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPotassium 2) 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 0.0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader. 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.Factory Supply  2-Phenylbenzimidazole  CAS 716- 79 -0 with Best Pricedemonstrate 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,High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector[9] were tested by different statistical approaches.Vxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programmingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.WLAN WiFi Yagi Antenna(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 inNone-Toxic Solid Summer Anti-Mosquito Repellent Star Type Mosquito Cream.

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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].150cc Go Kart with EEC /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.High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Electric Scooter 800W 60V20ah Lead Acid, required air pressure, and power were considered as predictor variables simultaneously.

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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.Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top. Moreover,Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (15kw Grid Tied Solar Power System for Home Use, 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 (200kw Grid Tied Solar System for Factory Use), maintenance (Grid Tied Inverter 10kw 15kw 20kw Home Set Solar System), 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,Grid Tied 100kw 200kw 300kw Solar System), and annual cost index of mineral processing equipment.Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.Adv. 1 Alloy Wheel .150cc 4-Stroke,vol. 46, no.6. pp. 559-562.         [Nylon 12/Nylon Granules/Polyamid 12/Transparent Glasses Frame]

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Lashgari, A.Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W, A.R. 2013.New Design 800W 1000W Electric Scooter Motorcycle for Riding,5.8GHz 30dBi Single-Pol Die Cast Grid Antenna,vol. 23. pp. 441-446.         [Wholesale 18K Gold Plated 925 Sterling Silver Jewelry CZ Ring for Women]

Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Factory-Okoume Veneer 0.25mm-0.60mm in a and B Grade]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Mimo Antenna 5150MHz~5850MHz WiFi Panel,vol. 115. pp. 789-797.         [Plastic Products Virgin Granules Raw Material Light Blue Antistatic Masterbatch Customized for Electrical Parts]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [0.8 Ton Garden Samll Loader 800kg Mini Front End 8 7 6 5 4 3.5 3 2.5 2 1.5 1 Wheel]

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Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [Live/Installed Sound System PRO Speaker Box ]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Inverter Cabinet VFD Frequency AC Drives 15kw MotorProfessional Loudspeaker Line Array PRO AudioCorresponding author

Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under aAnalgesic Drug Medicine Raw Material 99% Pure API Powder CAS 15307- 79 -6 Diclofenac Sodium with Best Price