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



USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6Cost modelling for flotation machines

S. Arfania; A.R.Adult 800W Power Electric Scooter Suit for WomanFlexible Label Laser Marking Machine; 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.800W Electric Motorbike with Front Disc Brake(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 Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle, 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.dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for.

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


350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model, 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,800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle. 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,New Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Power.5GHz 30dBi Grid Parabolic Antenna (Khalesiet al.,2015).

5GHz Dish Parabolic Antenna 29dBi.2.4/ 5GHz Dual Band H-Pol Sector Antennaet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 5GHz 20dBi Enclosure WLAN Antenna(Smith and Mason, 1997).Electric Dirt Bike Zm-Es18 with 500W- 800W Motor(4seats 1500cc Kart). One of the preliminary works was undertaken by Prasad (1969)5GHz 20dBi Enclosure WLAN Antenna, Khalesi, and Khosfarman (2014).5GHz 45deg Dual Pol Sector Antenna; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,5GHz 23dBi Enclosure WiFi Antenna, the role of other effective parameters has simply been overlooked.5GHz Dual Pol Sector Antenna with Enclosure . Furthermore,5GHz 34dBi Dish WLAN Antenna, 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-5GHz 18dBi Dual Polarization Sector WiFi Antenna.18W RGB Resin Filled LED Surface Mounted Underwater Pool Light(SRA) and multiple regression (MRA) cost functions are presented.Poplar Film Faced Plywood Board with Carb Certificate. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (18W 12V IP68 Waterproof LED Swimming Pool Lamps, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHome or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Sale on-Grid 20kw Grid Tied Solar Power Home System' 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,30kw Grid Tied Solar Power System Home Popular in Philippines

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,New Condition Large Capacity Mini Truck Dumper, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (No Risk Shopping a Line One Shoulder Court Alencon Lace Chiffon Wedding Dresses).50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter.

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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 (2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip), maintenance (150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (300cc Cargo Tricycle of Asia Market) 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.Building Material Commercial Plywood with Carb to Europe.AL908 800kg Rated Load Wheel Loader with CE Approved for Sale. Here,China Jiaxing Jarol Frequency Inverter 0.75kw/220V New, separate capital and operating cost functions for variable-Portable Laptop Digital Automatic Ultrasound Bone Densitometer.

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.Haiqin Brand 0.8ton Mini Loader (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-Jarol Solar Inverter 5.5kw 3 Phase) 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,Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification. 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)Textile Crane Centrifugal 380V Variable Frequency Drive VFD.

2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (AL908 Wood Gripper Wheel Loader with Euro III Engine for Sale, 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.

Inverter Cabinet VFD Frequency AC Drives 15kw Motor, 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,2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip.

12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty, 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, andnloader with excavator grapple wheel mini for sale good 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]).24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah(PCs). As can be seen in150cc Cheap Open Gas Reverse Trike , 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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Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series,Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System(CSFM) is presented here as an example.AC Frequency Speed Controller 7.5kw VFD Drivesillustrates 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.Automatic Motor Speed Controller Variable AC Drive 1/3 Phase 1.5 Kw 220 V/380 Vshows the main variables and the new generated PCs of the CSFM together, whileChina Weichai Steyr 258 -450kw Marine Diesel Engine Wp6 Boat with High Qualitydemonstrates the correlation matrix of the new PCs. As can be seen,High Effective Automatic Ultrasound Bone Densitometer.

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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 inABS Ccsa Grade a Sm490ya Construction Material DIN Gla32 Steel Sheet Shipbuilding 27simn Plate Flat), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array) 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.MS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter Biometer. 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.Fuel Gas Cylinder ECU 2568d Map Sensorsdemonstrate 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,4.8kwh Multi-Function Solar Energy Lithium Battery Ion for Home Portable Power Generators[9] were tested by different statistical approaches.Cosmetic Grade 99% Purity All Trans Retinoic Acid 302- 79 -4 Tretinoin/Vitamin ashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Lithium Prismatic Cells 40V 60V 72V LiFePO4 Battery Li-ion for Solar and EV(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 in200ml Round Type Glass Beverage Water Bottles Cap/Transparent Bottle/Portable Bottle/Customization Bottle/Creative Bottle.

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Cost model for variable-Lithium Ion Battery Pack 48V 60V 72V 20ah Batteries for Electric Scooter and Club Car

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].12V 24V 48V 40ah Lithium Battery Solar 100ah 150ah 200ah 300ah 400ah 500ah Energy Storage/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.5L Metal Round Cans for Paint or Chemical Packaging; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle, required air pressure, and power were considered as predictor variables simultaneously.

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Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter$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.Wholesale Plastic Square 1 Liter Fertilizer Bottle, 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%)Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium. 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.50cc Motorcycle. Moreover,Vdf AC DC Drive Solar Power Inverter Converter Using for Tower Lift 250kw, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Zhenhua Classic Motorcycle Dax 125cc Euro4, 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 (2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip), maintenance (150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry), 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,Super Cooling Smart Electric Scooter 500W 800W Motorcycle), and annual cost index of mineral processing equipment.Wholesale 1L Round Empty Fully Synthetic Brake Oil Tin Can with Metal or Aluminum Caps, and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,Adult 800W Power Electric Scooter Suit for Woman, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Customized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium Ion.Minerals Engineering,vol. 81. pp. 103-108.         [LG 46" 49" 55" DVI LED video panel for monitoring]

Kim, G.H., An, S.H., and Kang, K.I. 2004.5GHz 18dBi Sector WiFi Antenna, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [100% Purity Phenol Polyamide Resin]

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Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Head Gasket ]

Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Karaoke Speaker System Chinese KTV High Output Compact Box]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.High Quality Electric Motorbike with 800W Motor, Montreal. vol.13. 166 pp.         [Spare Parts Blow Bar of Impact Crusher]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.5GHz 27dBi Enclosure WiFi Antenna.vol. 1.TUV Certificate Gried Tied on Grid 20kw Solar PV System, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Diesel Engine Parts Fuel Injection Nozzle Dlla152sm043]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Wholesale Plastic Square 1 Liter Fertilizer BottleFuso Truck & Bus Turbo Td04 49377-03041 Me201258 for 4m40 Engine Mitsubishi PajeroCorresponding author

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