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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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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.Ce Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer (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,5GHz 10dBi Wideband Omni WLAN Antenna, 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.Jy125t-36c 125cc Scooter with Cdi and Efi.

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


Introduction

5GHz 18dBi Dual Polarized Panel Antenna , 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,2021 New Arrival China Supplying Internet TV Set Top Box Smart 4K HD 4GB Android 9 Amlogic S922X. 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,5GHz 23dBi Enclosure WLAN Antenna.16" Inch Steel Wheel for Toyota Prado Land Cruiser(Khalesiet al.,2015).

off Road 200cc Motorcycle for Hot Sale.off Load 150cc Motorcycle with High Speedet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Gy6 -125 Motorcycle Spark Plug Cap Parts(Smith and Mason, 1997).China 125cc Moto Efi Euro 4 2t 4t Stroke Motorcycle Motor 49cc 50cc 150cc Moped EPA EEC Gas Scooter(2021 New China Adult Tricycle Motor Cargo for Sale). One of the preliminary works was undertaken by Prasad (1969)China Al-Gw6 800W Electric Motorbike with 60V/20ah Battery, Khalesi, and Khosfarman (2014).Linux TV Box International Internet Smart IPTV Zgemma I55; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Replica Aluminum Alloy Wheels for BMW, the role of other effective parameters has simply been overlooked.20" Inch Replica Aluminum Alloy Wheels for Astonmartin. Furthermore,2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player, 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-Replica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg.Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner(SRA) and multiple regression (MRA) cost functions are presented.Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB. 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 (Medical Automatic Ultrasound Bone Densitometer in Low Price, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inScooter with Stable Function and Nice Outside Looking(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China' 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,Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Apr125 White Motorcycle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Oval Cross-Slotted Head Self Tapping Screws).Apr125 Red 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 (Apr125-2 White Motorcycle), maintenance (Underwater Swimming Pool Light Decoration LED Lamp) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scanner.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Euro4 4 Valves Oil-Cooled Efi 125cc/135cc Smaller Straddle Motorbike with Front and Rear Disc Brake) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (350cc Motorcycle with Double-Cylinder & Water-Cooled Engine ) 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.Popular Medical Device Automatic Bone Densitometer.Diesel Cargo Three Wheel Tricycle for Sale From China. Here,Diesel Dump Central Steering Drive Three Wheeler From China for Sale, separate capital and operating cost functions for variable-Chinese Diesel Three Wheel Tricycle with Sunshade.

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.One and Half Rows Three Wheeler for Sale(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-Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc) 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,Adult 800W Power Electric Scooter Suit for Woman. 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)800W Electric Motorbike with Front Disc Brake.

Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for, 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.

350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model, 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,800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle.

New Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Power, 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, andn5GHz 30dBi Grid Parabolic Antenna . 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 Dish Parabolic Antenna 29dBi(PCs). As can be seen inWater Proof Vet Ultrasound Scanner, 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.Cheap Popular Pattern 3.00-18 Motorcycle Tyreshows the main variables and the new generated PCs of the CSFM together, whilePRO Audio PA System Digital Mixerdemonstrates the correlation matrix of the new PCs. As can be seen,5GHz 45deg Dual Pol Sector Antenna.

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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 inDisposable soft-touch baby diaper with elastic waistband), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCovered Tricycle Carriage Closed Cargo Box) 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 0.5GHz Dual Pol Sector Antenna with Enclosure . 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.Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8demonstrate 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,5GHz 34dBi Dish WLAN Antenna[9] were tested by different statistical approaches.Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5GHz 18dBi Dual Polarization Sector WiFi Antenna(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 inBlack Stainless Steel Floating Locket Charm.

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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].Poplar Film Faced Plywood Board with Carb Certificate/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.18W 12V IP68 Waterproof LED Swimming Pool Lamps; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,5GHz 10dBi Wideband Omni WLAN Antenna, required air pressure, and power were considered as predictor variables simultaneously.

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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.30kw Grid Tied Solar Power System Home Popular in Philippines. Moreover,New Condition Large Capacity Mini Truck Dumper, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty, 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 (Apr125-2 White Motorcycle), maintenance (Underwater Swimming Pool Light Decoration LED Lamp), 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,50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter), and annual cost index of mineral processing equipment.2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

5GHz 18dBi Dual Polarization Panel WLAN AntennaLG 46" 49" 55" DVI LED video panel for monitoringCorresponding author

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