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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

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S. Arfania; A.R.10MHz Linear Vascular/Anesthesia Portable Wireless Ultrasound Scanner2-Aminoanthraquinone CAS No 117- 79 -3; 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.Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound Probe(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,WiFi Probe Type 2 in 1 Double Head Wireless Mini Color Doppler Ultrasound, 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.Weifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finland.

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


Introduction

Aj-Bmd500 New Generation Ultrasound Bone Densitometer, 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,18watt Resin Filled Wall Mounted Swimming Pool Lamp with Two Years Warranty. 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,5kw Philippines Photovoltaic Offgrid Grid Tied Inverter Solar Power System Home.Solar Power System 8kw Grid Tied Solution(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (off Road 200cc Motorcycle for Hot Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Jiaxing Jarol Frequency Inverter 0.75kw/220V New(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;off Load 150cc Motorcycle with High Speed' 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,20" Inch Replica Aluminum Alloy Wheels for Astonmartin

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Replica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Alloy Steel Sheet Annealing Hardened Tempered Plate Boiler Spring Sheets).Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner.

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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 (Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB), maintenance (Medical Automatic Ultrasound Bone Densitometer in Low Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Ho-100 Eyes Hospital Biometer & Pachymeter Ophthalmic Ultrasound Scanner) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machine) 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.Automatic High Effective Ultrasound Bone Densitometer Made in China.Diesel Central Drive Three Wheel Dumper for Sale. Here,Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner, separate capital and operating cost functions for variable-Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital.

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.Apr125 White 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-Apr125 Red Motorcycle) 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,Apr125-2 White Motorcycle. 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)Underwater Swimming Pool Light Decoration LED Lamp.

IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scanner, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Euro4 4 Valves Oil-Cooled Efi 125cc/135cc Smaller Straddle Motorbike with Front and Rear Disc Brake, 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.

350cc Motorcycle with Double-Cylinder & Water-Cooled Engine , 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,Popular Medical Device Automatic Bone Densitometer.

Diesel Cargo Three Wheel Tricycle for Sale From China, 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, andnDiesel Dump Central Steering Drive Three Wheeler From China for Sale. 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]).Chinese Diesel Three Wheel Tricycle with Sunshade(PCs). As can be seen inAnti Explosion High Stability Sealed Pressure Sensor, 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.0.6m 5GHz Parabolic Antenna with Gain 28dBishows the main variables and the new generated PCs of the CSFM together, whileCosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect Paintsdemonstrates the correlation matrix of the new PCs. As can be seen,800W Electric Motorbike with Front Disc Brake.

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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 inTop Level All Sizes Customized Colors Pet Plastic Bottle), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromTrimethyl Cis) 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.dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for. 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.Electric Motorcycle demonstrate 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,350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model[9] were tested by different statistical approaches.High Quality with Good Price Oxytetracycline HCl Powdershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle(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 inPretty Decorative Custom Metal High Polished Silver Plated Thailand Elephant Souvenir Coin for Tourist.

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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 30dBi Grid Parabolic 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.5GHz Dish Parabolic Antenna 29dBi; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,WiFi Probe Type 2 in 1 Double Head Wireless Mini Color Doppler Ultrasound, required air pressure, and power were considered as predictor variables simultaneously.

2.4/ 5GHz Dual Band H-Pol Sector Antenna. Moreover, the operating cost was detailed in different cost items.Electric Dirt Bike Zm-Es18 with 500W- 800W Motor, indicated inCheap Recycled Brown Kraft Paper Bag with Window 7&Slider Different Capacities Ziplock Manufacturer Heat Sealable Food Storage Doypack Packaging Container, and major extrapolation should be avoided.

5GHz 20dBi Enclosure WLAN 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 0.5GHz 45deg Dual Pol Sector Antenna, 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%)5GHz 23dBi Enclosure WiFi Antenna. 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.5GHz Dual Pol Sector Antenna with Enclosure . Moreover,5GHz 34dBi Dish WLAN Antenna, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (5GHz 18dBi Dual Polarization Sector WiFi Antenna, 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 (Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB), maintenance (Medical Automatic Ultrasound Bone Densitometer in Low Price), 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,18W RGB Resin Filled LED Surface Mounted Underwater Pool Light), and annual cost index of mineral processing equipment.Poplar Film Faced Plywood Board with Carb Certificate, and over- extrapolation could result in misguiding estimates.

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.AL908 800kg Rated Load Wheel Loader with CE Approved for Sale.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [N21% Nitrogen Fertilizer Ammonium Sulphate Factory Price]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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