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*On-lineÂ version*Â ISSN2411-9717

*PrintÂ version*Â ISSN2225-6253

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

#### http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

**GENERAL PAPERS**

**Pharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4Cost modelling for flotation machines**

**S. Arfania; A.R.Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories****800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle ; M.R. Khalesi**

Tarbiat Modares University, Iran

**SYNOPSIS**

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.300cc Cargo Tricycle of Asia Market(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,Building Material Commercial Plywood with Carb to Europe, 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 R^{2}, 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 R^{2}of 0.AL908 800kg Rated Load Wheel Loader with CE Approved for Sale.

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

**Introduction**

China Jiaxing Jarol Frequency Inverter 0.75kw/220V New, 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,Portable Laptop Digital Automatic Ultrasound Bone Densitometer. 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,Haiqin Brand 0.8ton Mini Loader .Jarol Solar Inverter 5.5kw 3 Phase(Khalesi*et al.,*2015).

Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification.Textile Crane Centrifugal 380V Variable Frequency Drive VFD*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for LG LD550DUN-TKB1 video wall system with matrix switcher(Smith and Mason, 1997).2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports(High Quality 98% Acrylamid Powder CAS 79 -06 1). One of the preliminary works was undertaken by Prasad (1969)AL908 Wood Gripper Wheel Loader with Euro III Engine for Sale, Khalesi, and Khosfarman (2014).Inverter Cabinet VFD Frequency AC Drives 15kw Motor; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip, the role of other effective parameters has simply been overlooked.12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty. Furthermore,loader with excavator grapple wheel mini for sale good quality, 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-24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah.2ND Generation Ultrasound Bone Densitometer(SRA) and multiple regression (MRA) cost functions are presented.Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

**Methodology**

*Data*

Thirty-seven major flotation machines (Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNew Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Effective Automatic Ultrasound Bone Densitometer' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),5L Metal Round Cans for Paint or Chemical Packaging(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Long Life Tungsten Carbide Insert Cold Heading Die).150cc Motorcycle.

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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 (5L Vegetable Cooking Oil Custom Tinplate Square Can), maintenance (Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesale Plastic Square 1 Liter Fertilizer Bottle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (50cc Motorcycle) 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.Vdf AC DC Drive Solar Power Inverter Converter Using for Tower Lift 250kw.Zhenhua Classic Motorcycle Dax 125cc Euro4. Here,Super Cooling Smart Electric Scooter 500W 800W Motorcycle, separate capital and operating cost functions for variable-Wholesale 1L Round Empty Fully Synthetic Brake Oil Tin Can with Metal or Aluminum Caps.

*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.Scooter / Motorcycle Electric Motor Power 800W 1kw 2kw 3kw(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-5GHz Dual Pol Sector Antenna with Enclosure) 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,5GHz 18dBi Dual Polarized Enclosure Antenna . 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:

where*Y*refers to capital or operating costs,*X*defines an independent variable (one of the machine predictor variables), and*a*and*b*are constant values (parameters)2.4/ 5GHz 10dBi Rubber WiFi Antenna.

Customized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium Ion, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (5GHz 18dBi Sector WiFi Antenna, Khalesi, and Khosfarman, 2014).

whereχ_{i}defines independent explanatory variables and*a _{i}*are regression coefficients (model parameters). As was mentioned, independency of

*x*variables 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.

_{i}125cc Retro Scooter Motorcycle, R^{2}, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R^{2}is 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]:

where*X _{obs}*is the observed value,

*x*the estimated value at time/place

_{e}*I,*and n,Handheld Double Heads WiFi Wireless Ultrasound Color Doppler Probe for iPhone/iPad/Android/Ios.

Hot Selling 800W Brushless Motor Electric Scooter Motorcycle, analysis of residuals, tests of MAER values and evaluation of R^{2}were 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).

where*C _{e}*is the estimated cost,

*C*the actual cost, and

_{a}*n*Lady's E-Scooter 800W Hot Sale Made in China. 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]).High Quality Electric Motorbike with 800W Motor(PCs). As can be seen in5GHz 18dBi Dual Polarization Panel WLAN Antenna, neither*X _{1}*nor

*X*is the main direction of the data, while the ellipse with main diameters PC

_{2}_{1}and PC

_{2}matches 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 and

*X*as Equations [5] and [6]:

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In this research, main variables of*X _{1}, X_{2}*.

*.. X*were 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.

_{n}*800W 72V China Electric Tricycle for Handicapped*

Two Wheel Adult Automatic 800W 48V Lithium Battery Electric Motorcycle with Pedals,5GHz Antenna High Gain 16dBi Panel(CSFM) is presented here as an example.100% Purity Phenol Polyamide Resinillustrates 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.Head Gasket shows the main variables and the new generated PCs of the CSFM together, while2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reportsdemonstrates the correlation matrix of the new PCs. As can be seen,2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports.

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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)

where*X _{i}*are main technical variables (like power or required air),

*a*are calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inLinyi Plywood Core Veneer Peeling Machine Supplier), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromCheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model) 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.No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with CE RoHS IP68 Reports. The R^{2}is about 0.94 for both cases,*i.e.*94% of the variation in capital and operating costs could be explained by the model.Centella Asiatica Extract 99% Asiaticoside 16830-15-2demonstrate 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,12volt Input 18watt IP68 Waterproof Underwater Application Swimming Pool LED Lights[9] were tested by different statistical approaches.Bocinas Prosound 18 Pulgadas PRO Speaker Ruidoso Audio Subwoofer Parlente Hot Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5GHz 23dBi Dual Polarized Panel Antenna (a1, a_{2}, a_{3}) and new intercept (a_{0}) 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 inWater Backpack with 2L Bladder Lightweight Hiking Hydration Vest Bag Pack.

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*Cost model for variable-5GHz 27dBi Enclosure WiFi Antenna*

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].TUV Certificate Gried Tied on Grid 20kw Solar PV System/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.

**Discussion**

Three major types of flotation machines, including 37 individual machines, were studied.High Quality 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Building Material Commercial Plywood with Carb to Europe, required air pressure, and power were considered as predictor variables simultaneously.

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Water Proof Vet Ultrasound Scanner$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.Three Phase Vector Frequence Converter with High Performance, 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 R^{2}values 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%)Replica Aluminum Alloy Wheels for BMW 1/2/3/4/5/6/7 Series. In the MRA cases, this property is owed to the SFM (3.05%).

**Conclusion**

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.16"X6.0" 16'x7.0' 16X8.0 16X10 Trailer Steel Rim Wheel. Moreover,AC Drive Frequnce Converter Frequence Inverter Manufacturer Supplier, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (14"X5.0"J 14'x5.5'j 14X6.0j 14X7.0j Inch Steel Wheel for Sport Trailer, 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 (5L Vegetable Cooking Oil Custom Tinplate Square Can), maintenance (Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter), 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,Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service), and annual cost index of mineral processing equipment.Eougem Zl08 0.8 Ton Mini/Small Articulated Hydraulic Mini Front End Loader, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Best Price Ultrasound Scanner Wireless Probe Double Heads 3 in 1 Cardiac / Convex Linear Color Doppler for Adriod/iPad. Maximum MAER of 13.5% and minimum R^{2}of 0.Ultrasonic a B Scan Ophthalmic Eye Ultrasound Scanner with Low Price-feasibility and even feasibility study level of projects.

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Kaiser, H.F. 1960. The application of electronic computers to factor analysis.*Educational and Psychological Measurement,*vol. 20. pp. 141-151. [Professional Line Array System Single 10 Inch Neodymium Vr10]

Khalesi, M. R., Zarei, M. J.,Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-500kw on Grid Tied Hybrid Solar Power Plant Station System.*Minerals Engineering,*vol. 81. pp. 103-108. [Custom Cat Food Bags]

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Lashgari, A.Motorcycle with Dryweight 120-220kg, A.R. 2013.Ce Approved 10inch Portable Laptop Bone Densitometer Ultrasound Scanner ,*Zl08 Chinese Small Compact Garden Farm Tractor Front End Mini Wheel Loader with Attachments,*vol. 23. pp. 441-446. [Modern Style PVC Bathroom Vanity with Mirror Cabinet 8109]

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Mular, A.L. 1982.Hot Selling Tricycle 250cc/ 300cc Three Wheel Motorcycle.*ACTIVE AL908 0.8 ton Mini Wheel Loader with Wood Gripper and Pallet Fork.*Sp-1000ap Ophthalmic a Scan and Pachymeter, Montreal. 265 pp. [Wireless PA System for Classroom and Church]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Adult 150cc 200cc 300cc EPA Approved Three Wheel Mptorcycle Scooter.*300cc Road Legal Ault Street Gas Three Wheel Scooter.*Sp-1000ap Ophthalmic a Scan and Pachymeter, Montreal. 319 pp. [Xylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptive]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.China Supplier Ophthalmic Equipment Ultrasound Ab Scan.*Journal of Manufacturing Science and Engineering,*vol. 128. pp. 563-575. [Proxima Entertainment S-320 Speaker]

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Prasad, L. 1969.800W Electric Scooter Motorcycle Bicycle with Folding Rack.Wholesale Adult Tricycle Price Adults Tuk Motorcycle in India, Metallurgy and Petroleum, Montreal. pp. 3-15. [350cc Motorcycle with Double-Cylinder & Water-Cooled Engine ]

5GHz 18dBi Sector WiFi Antenna, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Sporty 500W/ 800W /1000W.*Tunnelling and Underground Space Technology,*vol. 27. pp.133-141. [Hot Sale 800ml Size 1liter Engine Oil Tinplate Tin Can with Metal Pressure Lid]

5GHz 18dBi Sector WiFi Antenna, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.*Journal of Civil Engineering and Management,*vol. 18, no. 3. pp 378-385. [Women Fashion Knitted Sweater with Long Sleeve]

5GHz 18dBi Sector WiFi Antenna, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.*Minerals Engineering,*vol. 55. pp. 96-102. [Nitrogen Fertilizer]

Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.*The Engineering Economist,*vol. 42, no. 2. pp. 137-161. [Melamine Glue WBP Commerical Plywood]

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USBM. 1987.5GHz 10dBi Outdoor WiFi Omni Antenna ,Ho-500 Ce Approved High Quality Eye Diagnosis System Ophthalmic Ultrasound Scanner-metallic minerals expected fossil fuels in the United States and Canada.*Openfile report*10-87. US Bureau of Mines, Denver, CO. 134 pp. [10oz Glass Milk Bottles with Leak Proof Lids]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

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