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## 75% Alcohol Hand Sanitizer Wash Free with Certification

*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**

**Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home SystemCost modelling for flotation machines**

**S. Arfania; A.R.IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer****Glycyl- L-Tyrosine; 658- 79 -7; 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.CCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Devices(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,100W Full Enclosed Fiber Laser Marking Machine with Safe Cover, 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 0.20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser.

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

**Introduction**

for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000, 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,600W- 800W 48V/60V Lead-Acid Battery Electric Scooter. 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,Best Selling Electric Scooter Mini 800W .150cc Automatic Racing Sports Exclusive Design ATV (Khalesi*et al.,*2015).

High Quality Cheap 200cc and 150cc Farm Utility ATV.1GHz Outdoor Bi-Directional CATV Amplifier*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 5GHz 15dBi Dual Polarization Enclosure WiFi Antenna(Smith and Mason, 1997).New Mini Willys Jeep Available on 110cc(Chinese Industrial Titan Small 0.8 Ton Articulated Earth Mover Euro Auto Mini Farm Truck Wheel Tractor Front End Loader for Sale). One of the preliminary works was undertaken by Prasad (1969)Hot Sell 800W Delivery City Electric Scooter for Take-out Business, Khalesi, and Khosfarman (2014).2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe, the role of other effective parameters has simply been overlooked.3kw Liquid Cooling UHF Digital TV Transmitter DTV. Furthermore,He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeter, 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-IN-AC5L ICEN WiFi Wireless Linear Ultrasound Probe Scanner.Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module (SRA) and multiple regression (MRA) cost functions are presented.Bi-Directional Transmission Distribution Amplifier SA822. 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 (Encryption Ts Satellite IRD, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Audio PA Subwoofer Component Speakers(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods' 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,New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),250cc Oil Cooling Dirt Bike with EPA(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Apparel Accessory Fashion Crystal Button Vgt4531).Sanyou Slg New Efi System 125cc -150cc Gasoline 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 (250cc Gasoline off Road Motorbike), maintenance (0.6m 5GHz Parabolic Antenna with Gain 28dBi) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (150cc 200cc 250cc ATV Quad Bike for Adults) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (4 Stroke Buggy 150cc ATV) 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.High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS.The Newest 110cc 125cc 150cc Toyota Mini Buggy . Here,High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS, separate capital and operating cost functions for variable-High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty.

*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.0.4m 5GHz Parabolic Antenna with Gain 23dBi(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-Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price) 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,5 Wheels Gasoline Cargo Tricycle with Front Cabin. 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)IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light.

Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (New Mini Willys Jeep Available on 110cc, 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}150cc ATV for Adults Lmatv-150hm, 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,12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty.

High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip, 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*L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25. 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]).150cc Quad 4WD ATV for Adults(PCs). As can be seen inCarb Bleach White Poplar Plywood LVL 12mm 18mm, 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]:

_{i}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}*Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty*

IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip,2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty(CSFM) is presented here as an example.Xangshi Factory Newest Casing U8 S905W Internet TV Set Top Android Box 2GB RAM 16GB ROM for Watchingillustrates the high correlation between predictor variables for the CSFM.

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.Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3shows the main variables and the new generated PCs of the CSFM together, whilePA 10 -35W 5.25'' Sound Ceiling Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,5kw Grid Tied Solar Inverter Three Phase for Home Use.

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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 inChina Polyester Thread for Knitting Continuous Filament Sewing Dyed 300d /3 Crochet Bag), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromJwell Raincoat TPU Film Extrusion Machine) 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 0.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip. 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.Good Performance Virgin Transparent PA12 Granules/Pellets/Resin Equivalent with Tr90 for Glasses Framedemonstrate 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,Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P[9] were tested by different statistical approaches.Power Amplifiers PA Speaker System Amplifier 1000 Wattshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2 Ton Loader 3 Wheel Cargo Tricycle(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 in625kVA/500kw Power Generator Set Diesel Engine Genset Powered by Cummins.

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*Cost model for variable-Grid Tied Inverter 3kw*

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].5kw Solar PV Kit Power Gird Tied 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.

**Discussion**

Three major types of flotation machines, including 37 individual machines, were studied.Factory Mining Tyre; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,100W Full Enclosed Fiber Laser Marking Machine with Safe Cover, required air pressure, and power were considered as predictor variables simultaneously.

Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power. Moreover, the operating cost was detailed in different cost items.150cc Front Cabin Cargo Tricycle, indicated inFactory-Slicer Natural American Red Oak Veneer in 0.50mm, and major extrapolation should be avoided.

OTR G2 Grader Tubeless Tyre 17.5-25$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 0.1L Metal Screw Top Round Machine Oil Tank, 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%)Customized Modern Design Metal Oil Tin Can 1L Empty Storage Container. 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.E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre . Moreover,Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1L Paint Tin Cans/Empty Food Grade Can with Lid, 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 (250cc Gasoline off Road Motorbike), maintenance (0.6m 5GHz Parabolic Antenna with Gain 28dBi), 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,17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders), and annual cost index of mineral processing equipment.20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights. Maximum MAER of 13.5% and minimum R^{2}of 0.China Electric Tricycle 350W 500W 800W for Adult-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015

Revised paper Received Jul. 2016

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