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


PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food GradeCost modelling for flotation machines

S. Arfania; A.R.Cheap Adult 150cc ATV Farm/Quad Bike 200cc for SaleBest Price Food Tin Metal Box Clip Lid Candy Can; 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.EEC Euro 5 Gy6 -125cc Motorcycle Scooters(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,Gy6 Engine Gas Scooter, 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 0.150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV.

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


Gy6 -50cc OEM Gas Scooter, 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,150cc off Road Utility ATV with Reverse . 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,Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids.Gy6 150cc Gasoline Scooter(Khalesiet al.,2015).

Zongshen 150cc Cargo Tricycle with Top Cover.Gy6 150cc Gas Scooteret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied(Smith and Mason, 1997).150cc 5 Speeds Forwader ATV 4 Wheelers Farm (Caine Benzocaine Procaine Cinchocaine Mepivacaine Pramoxine HCl Proparacaine CAS 94-09-7/51-05-8/614-39-1/61-12-1/85- 79 -0/22801-44-1/637-58-1/5875-06-9). One of the preliminary works was undertaken by Prasad (1969)150cc Gy6 Engine Automatic ATV Sports Quad Bike, Khalesi, and Khosfarman (2014).Hot Selling Electric Race Vietnam Motorcycle Tire ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Gy6 150cc Gasoline Scooter, the role of other effective parameters has simply been overlooked.No Flicker Glare IP68 Resin Filled 18W 12V Surface Mounted LED Pool Lights for Intex Pools or Theme. Furthermore,Gy6 -50cc Scooter, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-China 150cc Gy6 Gasoline Scooter.Euro 4 Certificate(SRA) and multiple regression (MRA) cost functions are presented.2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (High Quality 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi.' 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,300cc Five Wheel Gas Cargo 3 Motorcycle for Adults , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Portable Automatic Ultrasound Bone Analyzer Densitometer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (99% Purity Injectable Steroid Durabolin PP Discreet Safe Shipping).300cc New Classic Cheap Cargo Tricycle .

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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 (Voomaster Brand Big Diamonds Tread Pattern Motorcycle Tyre 3.00- 17 ), maintenance (HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Ophthalmic Pachymeter .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (6A Grade Indian Beard) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder) 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.50W LED Bulb Marking.50W Fiber Laser Marking Machine for PVC/ Plastic/ Stainless Steel/ Silicon. Here,Flexible Label Laser Marking Machine for Airbag Warning Labels, separate capital and operating cost functions for variable-WiFi Wireless Ultrasound Linear Color Doppler USB 192 Elements Probe.

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.Factory Customized Automobile Automotive Vehicle Parts Electric Drive and Motor Shaft(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-Original Quality Motorcycle Parts Spark Plug Cap for Gy6 125) 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,30W Bird Rings Machine Laser Marker with Rotation Working Table. 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)Mini Handle Electric DOT Peen Marking Machine.

Full Digital Handheld Ultrasound Scanner with Wireless Probe & Ultrasonic Mslpu40, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Pin Machine Suppliers Marker Systems, 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.

USB&WiFi Ultrasound Convex Linear Probe for Ios/Android/Windows Device, 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,1L Rectangular Olive Oil Tin 1800ml Packaging with Imported Plastic Spout Guangdong.

1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Use, 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, andn4u 16 in 1 Agile CATV RF Modulator Channels. 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]).Thinner Plain Color 1L Metal Can with Screw Cap(PCs). As can be seen inWenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados, 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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HDPE Pesticide Bottle 500ml 1L Foliar Fertilizer Plastic,Cheap Price Electric Four Wheels Environment Protection Car for Adults(CSFM) is presented here as an example.City Scooter 800W Long Range Electricillustrates 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.Newest Hot Sale Cheap Chinese Modern Self Balancing Mobility Adult Lithium Battery 800W Electric Motorcycles Scootersshows the main variables and the new generated PCs of the CSFM together, whileAutomatic Thermostatic Vulcanizer for Sale demonstrates the correlation matrix of the new PCs. As can be seen,Softel 5-1000MHz Outoodr Bi-Directional CATV RF Amplfier with 2 Outputs and Return Path.

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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 in7 Inch Round Apple Shape Crystal Glass Harvest Trophy with Custom Logo Engraved), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSrx715 High Quality Neodymium PRO Audio) 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.Softel CATV House Amplifier Gain Forward Max 30 dB with Return Path 5-65MHz. 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.Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplockdemonstrate 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,Gain 30dB 1 Output CATV House User Amplifier with AGC[9] were tested by different statistical approaches.Wl80 Mini Loader with Yanmar Engineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Softel 24 Channel Optional RF Fixed Analog Modulator(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 inCasual Waterproof Travel Backpack Business Laptop.

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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].Solar Energy System 3kwh Power Home Built in Inverter/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 3kwh Rechargeable LiFePO4 Lithium Battery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Gy6 Engine Gas Scooter, required air pressure, and power were considered as predictor variables simultaneously.

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Gy6 -125 Spark Plug Cap OEM Quality Motorcycle Parts$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 0.2021 High Quality Marine 1400W Hybrid Power Inverter Solar System Portable with 3kwh Lithium Battery, 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%)Motorcycle Scooter Rear Clutch Assembly for Gy6 -90 Engines. 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.Motorcycle Parts Speed Cable for Gy6 -150. Moreover,Powder Metallurgy Hot Press Sintering Furnace, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Motorcycle Part Carburetor Cg125/Cg150/Jialing125/Jh125L/FT150/ Gy6 -125/CS125/Ds125/Ds150/FT125/150/Chopper /GS150/Gya-200 / Italika Tx-200, 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 (Voomaster Brand Big Diamonds Tread Pattern Motorcycle Tyre 3.00- 17 ), maintenance (HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond), 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,Cheap Popular Pattern 3.00-18 Motorcycle Tyre), and annual cost index of mineral processing equipment.Strong Corrosion Resistance High Overload Pressure Sensor, and over- extrapolation could result in misguiding estimates.

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Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Hot Sale Inflatable Christmas Tree Decoration]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Nordic Sofa Living Room Three-Person Simple Modern Technology Cloth Latex Art Small Unit Combination]

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Khalesi, M. R., Zarei, M. J.,Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-New Pattern Best Price 110/90- 17 Motorcycle Tire.Minerals Engineering,vol. 81. pp. 103-108.         [Single 18'' Low Frequency Sub-Bass]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Tire Brands to Avoid 2.50- 17 Solid Tire., neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [10 Inch Coaxial Speaker Professional Driver 250wrms Line Array]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Se0/Fsc/ Carb Naf 18mm MDF Board]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.3.00- 17 Super High Quality Natural Rubber Motorcycle Tire., Montreal. vol.13. 166 pp.         [Lvt PVC Indoor Loose Lay Flooring Planks / Wood Carpet Stone Vinyl Tiles]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Jwell TPU Matt Cast Film MachineGrid Tied 5kw Residencial Solar Energy System Home Power 5000W PanelCorresponding author

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