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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

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

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

GENERAL PAPERS

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S. Arfania; A.R.IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years WarrantyChina Suppllier Ammonium Sulphate 21% Nitrogen Fertilizer; 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.50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter(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,2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip, 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 0.150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry.

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


Introduction

14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims, 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,Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories. 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,300cc Cargo Tricycle of Asia Market.Building Material Commercial Plywood with Carb to Europe(Khalesiet al.,2015).

AL908 800kg Rated Load Wheel Loader with CE Approved for Sale.China Jiaxing Jarol Frequency Inverter 0.75kw/220V Newet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2021 New Arrival China Supplying Internet TV Set Top Box Smart 4K HD 4GB Android 9 Amlogic S922X(Smith and Mason, 1997).Portable Laptop Digital Automatic Ultrasound Bone Densitometer(55 Inch LCD Video Wall Display with Controller). One of the preliminary works was undertaken by Prasad (1969)Haiqin Brand 0.8ton Mini Loader , Khalesi, and Khosfarman (2014).Jarol Solar Inverter 5.5kw 3 Phase; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification, the role of other effective parameters has simply been overlooked.Textile Crane Centrifugal 380V Variable Frequency Drive VFD. Furthermore,2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports, 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-AL908 Wood Gripper Wheel Loader with Euro III Engine for Sale.Inverter Cabinet VFD Frequency AC Drives 15kw Motor(SRA) and multiple regression (MRA) cost functions are presented.2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip. 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 (12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;loader with excavator grapple wheel mini for sale good quality' 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,High Effective Automatic Ultrasound Bone Densitometer

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Low Price Ophthalmic a-Scan Ultrasound with Pachymeter Ho-100, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),MS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter Biometer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (300kn Computer Contolled Automatic Electro Hydraulic Compression Testing Machine).4.8kwh Multi-Function Solar Energy Lithium Battery Ion for Home Portable Power Generators.

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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 (Lithium Prismatic Cells 40V 60V 72V LiFePO4 Battery Li-ion for Solar and EV), maintenance (Lithium Ion Battery Pack 48V 60V 72V 20ah Batteries for Electric Scooter and Club Car) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,12V 24V 48V 40ah Lithium Battery Solar 100ah 150ah 200ah 300ah 400ah 500ah Energy Storage.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (5L Metal Round Cans for Paint or Chemical Packaging) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (150cc 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.5L Vegetable Cooking Oil Custom Tinplate Square Can.Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter. Here,Wholesale Plastic Square 1 Liter Fertilizer Bottle, separate capital and operating cost functions for variable-Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium.

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.50cc Motorcycle(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-Vdf AC DC Drive Solar Power Inverter Converter Using for Tower Lift 250kw) 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,Zhenhua Classic Motorcycle Dax 125cc Euro4. 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)Super Cooling Smart Electric Scooter 500W 800W Motorcycle.

Wholesale 1L Round Empty Fully Synthetic Brake Oil Tin Can with Metal or Aluminum Caps, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Scooter / Motorcycle Electric Motor Power 800W 1kw 2kw 3kw, 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.

5GHz Dual Pol Sector Antenna with Enclosure, 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,5GHz 18dBi Dual Polarized Enclosure Antenna .

2.4/ 5GHz 10dBi Rubber WiFi Antenna, 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, andnCustomized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium Ion. 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]).5GHz 18dBi Sector WiFi Antenna(PCs). As can be seen inModern Design Rk3318 Android 4GB RAM 32GB ROM HK1 Cool Free Internet Octa Core 9.0 Set Top TV Box, 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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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.Pump Inverter Variable Frequency Drive Manufacturers AC Suppliershows the main variables and the new generated PCs of the CSFM together, whileElectric Motorcycledemonstrates the correlation matrix of the new PCs. As can be seen,Lady's E-Scooter 800W Hot Sale Made in China.

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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 inTravel Refillable Perfume Bottle), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChinese Heavy Truck Diesel Engine Pump Cylinder 161500137712) 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 0.800W 72V China Electric Tricycle for Handicapped. 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.Mule Deer Tranquilizer First Choice Tiletamine HCl Injection Free Sample 14176-50-2demonstrate 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,Two Wheel Adult Automatic 800W 48V Lithium Battery Electric Motorcycle with Pedals[9] were tested by different statistical approaches.Wolf Baumaschinen Zl08 Radlader with Canopyshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5GHz Antenna High Gain 16dBi Panel(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 inPU Fashion Black Wild Rivet Crossbody Waist Pack Chest Bum Bag Belt Purse Women.

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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].5GHz 29.5dBi Die Cast Grid Antenna/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.No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with CE RoHS IP68 Reports; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip, required air pressure, and power were considered as predictor variables simultaneously.

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5GHz 27dBi Enclosure WiFi Antenna$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.TUV Certificate Gried Tied on Grid 20kw Solar PV System, 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%)High Quality 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip. 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.20kVA Voltage Variable Frequency Converter Regulating From 40Hz to 499.9Hz 0-520V. Moreover,3 pH 11kw Chinese AC Control Frequence Inverter Variable Speed Drive Power Converter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Water Proof Vet Ultrasound Scanner, 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 (Lithium Prismatic Cells 40V 60V 72V LiFePO4 Battery Li-ion for Solar and EV), maintenance (Lithium Ion Battery Pack 48V 60V 72V 20ah Batteries for Electric Scooter and Club Car), 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,Three Phase Vector Frequence Converter with High Performance), and annual cost index of mineral processing equipment.Replica Aluminum Alloy Wheels for BMW 1/2/3/4/5/6/7 Series, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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