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


10'' Inch Ferrite WooferCost modelling for flotation machines

S. Arfania; A.R.15kw Solar Inverter Grid TiedElectric Motorcycle ; 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.Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode(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,China Famous Brand Hr912 Shovel Loader for Agriculture Working, 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.Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System.

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


25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader, 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,Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter. 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 Factory Lithium 150ah Battery with BMS AC Output.Intelligent Power Saver for Industry Use(Khalesiet al.,2015).

CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm.Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotaryet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Customized Bintangor Plywood Face Veneer of Commercial(Smith and Mason, 1997).RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty(4u 16 in 1 Agile CATV RF Modulator Channels). One of the preliminary works was undertaken by Prasad (1969)Made in China Strong Compact Mini Front Loader , Khalesi, and Khosfarman (2014).2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Manufacture 20W Fiber Laser Marking Machine for Engraving, the role of other effective parameters has simply been overlooked.3kw Air-Cooled UHF Digital TV Transmitter DTV. Furthermore,RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Wholesale High Performance Metal Mc4 Connector.No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip(SRA) and multiple regression (MRA) cost functions are presented.1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector' 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,1L Custom Round Small Metal Empty Tin Cans with Lids

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Professional Factory Manufacturing Function Adjustable High Efficiency Medical Oxygen Generator).1L Microstome Metal Drum Customization Printing Logo.

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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 (1L Metal Tin Cans with Lid for Paint or Chemical), maintenance (Free Sample 5GHz Antenna Rubber Gain) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1L Printed Round Metal Paint Tin Can with Lid) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box) 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.38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad.Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid. Here,High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty, separate capital and operating cost functions for variable-E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw.

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.Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner(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-Erbium-Doped Fiber Amplifier Optical Power Adjustable ) 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,Dirt Bike for 199 Cc Displacement. 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)Sab-500 Ophthalmic a/B Scanner.

[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (200cc Reverse Wholesale Motor Light Three Wheel Motorcycle , 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.

Industrial Energy Saving Device Made in China, 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,150cc Enclosed Gasoline Motorized Cargo Trike with Box .

Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner, 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, andnPower Saver Box Energy. 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]).Power Saver Energy Saving Device(PCs). As can be seen inGood Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery, 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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Industry Saveing Box ,Industry Saveing Box (CSFM) is presented here as an example.3phase VFDillustrates 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.High Stable Universal Pressure Transmittershows the main variables and the new generated PCs of the CSFM together, whileNewest Storage Battery Charger with Solar Energy & Mains Electricity Built-in Inverterdemonstrates the correlation matrix of the new PCs. As can be seen,Motorcyle with Bore * Stroke 66*58.2 mm.

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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 inSmartband Blood Pressure Smart Bracelet Charger Price APP Download Band Exercise Smartwatch Ebay Dw35PRO), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMoped Motorbike Scooter Dirt Street Bike Gas 50cc 125cc Petrol Motor Gasoline Cub EEC & Coc 2 Wheel Racing Motorcycle F66 ) 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 0.250cc Motor Cabin Tricycle Cargo with Canopy. 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.AC 3 Phase 380V Compact Vectorial Inverter Frequency 220Vdemonstrate 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,Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price[9] were tested by different statistical approaches.Sectional Stanford Sofashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Flexible Label Laser Marking Machine(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 inModern Minimalist Living Room Dining Hall Pendant Lamp.

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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].800W Color Fashion Electric Motorcycle/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.20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Famous Brand Hr912 Shovel Loader for Agriculture Working, required air pressure, and power were considered as predictor variables simultaneously.

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Latest Electric Scooter 800W Citycoco$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 0.16/24 Channel RF Combiner Passive Mixer, 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%)150cc Cheap Open Gas Reverse Trike . 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.Sport Using Motor Vehicle with Sealed Chain Final Drive. Moreover,GS-a 12mm CATV Fixed RF Attenuator, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale, 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 (1L Metal Tin Cans with Lid for Paint or Chemical), maintenance (Free Sample 5GHz Antenna Rubber Gain), 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,Automatic High Effective Medical Ultrasound Bone Densitometer ), and annual cost index of mineral processing equipment.New 50cc Monkey Bike Gasoline Motorcycle Euro 4, and over- extrapolation could result in misguiding estimates.

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery]

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Khalesi, M. R., Zarei, M. J.,15kw Solar Inverter Grid Tied, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Motor Tricycle Three Wheel Cargo Trike for Sale.Minerals Engineering,vol. 81. pp. 103-108.         [Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Pest control Flies Cockroaches Mosquitos spray Deltamethrin 2.5%SC]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Outdoor 750MHz One Way CATV Trunk Amplifier , Montreal. vol.13. 166 pp.         [Customize All Types of Spring Nut Special]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital.Motorcycle for 1405mm of Wheel Base.Cheap 3 Wheel Cargo Tricycle with Box , Montreal. 319 pp.         [200kw Grid Tied Solar System for Factory Use]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.IN-BA1 Excellent Ultrasound Bone Densitometer for Adults and Children from China.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Professional Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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