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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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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.Grid Tied Inverter 10kw 15kw 20kw Home Set Solar System(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,1kw Solar Power System Grid Tied 1000W on Panel Price, 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.Commercial Solar System 100kw Grid Tied /on 100kVA 60kw.

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


Introduction

Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration, 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,Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT. 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,Hot selling compact 800kgs wheel loader for garden.High Efficiency 6kw Grid Tied Solar Power System for Home(Khalesiet al.,2015).

China Safe Automatic CVT 150cc Go Kart Motor with Reverse.3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Driveet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Stage Line Array System Dual 10 Inch DSP Active Speaker (Smith and Mason, 1997).Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter(14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims). One of the preliminary works was undertaken by Prasad (1969)Carb P2 Plywood/EPA Plywood /Okoume, Khalesi, and Khosfarman (2014).Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Variable Speed Drive Phree Phase Frequency Converter 1000Hz, the role of other effective parameters has simply been overlooked.Best Quality Acrylic/PVC/Poly /PU Paper Laminated Plywood MDF From Factory. Furthermore,3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive, 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-Carb P2 Okoume Plywood for Furniture.15mm AAA Grade Film Faced Plywood with WBP Glue(SRA) and multiple regression (MRA) cost functions are presented.China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality. 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 (Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality 98% Tretinoin (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;150CC Go Kart ' 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,0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),WLAN WiFi Yagi Antenna(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Branded Set of 2 11-Oz Snowman Ceramic Mugs with Gift Boxes for Christmas).External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antenna.

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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 (150cc Go Kart with EEC ), maintenance (High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle ) 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.2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty.High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip. Here,Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top, separate capital and operating cost functions for variable-Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box.

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.15kw Grid Tied Solar Power System for Home Use(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-Grid Tied 100kw 200kw 300kw Solar System) 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,Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels. 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)Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale.

Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Adv. 1 Alloy Wheel , 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.

150cc 4-Stroke, 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,Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna.

Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market, 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, andnVimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W. 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]).New Design 800W 1000W Electric Scooter Motorcycle for Riding(PCs). As can be seen inChina Wholesales Wheel Loader HR912 with Pallet Forks, 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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Mimo Antenna 5150MHz~5850MHz WiFi Panel,5GHz 20dBi Panel WiFi Antenna(CSFM) is presented here as an example.5GHz 18dBi Dual Polarized Panel Antenna illustrates 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.Manufacturer of Enigine Oil Canshows the main variables and the new generated PCs of the CSFM together, whileFinished Surface HD Truck Wheel 17.5inch Rims Steeldemonstrates the correlation matrix of the new PCs. As can be seen,Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From 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 in5V 12V 24V Colorful SMD2835 LED Strip Light), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNew Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Power) 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 12dBi Dual Polarity MIMO Omni Antenna. 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.2021 New Arrival China Supplying Internet TV Set Top Box Smart 4K HD 4GB Android 9 Amlogic S922Xdemonstrate 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 Motorcycle Fashion Design 800W with Removable Battery[9] were tested by different statistical approaches.Engine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5GHz 18dBi Dual Polarization Panel WLAN 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 in12oz 6oz Double Wall Stainless Steel Swig Wine Tumbler Wholesale Sublimation Gift Set.

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Cost model for variable-Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner

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].Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans/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.Buy Food Grade Metal Material Empty Cans for 0.5-2.5L; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1kw Solar Power System Grid Tied 1000W on Panel Price, required air pressure, and power were considered as predictor variables simultaneously.

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10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim$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.Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim, 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%)Alloy Wheels . 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.Silver Truck Wheel Rims Steel 17.5 Inch. Moreover,15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC, 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 (150cc Go Kart with EEC ), maintenance (High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty), 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,Finished Surface HD Truck Wheel 17.5inch Rims Steel), and annual cost index of mineral processing equipment.250CC Go Kart , and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.Carb Bleach White Poplar Plywood LVL 12mm 18mm.Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light.Wolf Loader Wl80 Zl08 Radlader Mini Wheel, Montreal. 265 pp.         [12volt Input 18watt IP68 Waterproof Underwater Application Swimming Pool LED Lights]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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