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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.HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond(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,Ophthalmic Pachymeter , 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 0.6A Grade Indian Beard.

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


Introduction

Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder, 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,50W LED Bulb Marking. 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,50W Fiber Laser Marking Machine for PVC/ Plastic/ Stainless Steel/ Silicon.Flexible Label Laser Marking Machine for Airbag Warning Labels(Khalesiet al.,2015).

WiFi Wireless Ultrasound Linear Color Doppler USB 192 Elements Probe.Factory Customized Automobile Automotive Vehicle Parts Electric Drive and Motor Shaftet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wholesale High Performance Cylindrical Roller Bearings Nu19/670 Nu19/ 710 N19/ Nup19/ Nu19/750 Nu19/1060 Nu19/1250 Nu19/1320(Smith and Mason, 1997).Original Quality Motorcycle Parts Spark Plug Cap for Gy6 125(Living Room Lounge Furniture Sofa Fabric 3 Seater Couch). One of the preliminary works was undertaken by Prasad (1969)30W Bird Rings Machine Laser Marker with Rotation Working Table, Khalesi, and Khosfarman (2014).Mini Handle Electric DOT Peen Marking Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Full Digital Handheld Ultrasound Scanner with Wireless Probe & Ultrasonic Mslpu40, the role of other effective parameters has simply been overlooked.Pin Machine Suppliers Marker Systems. Furthermore,USB&WiFi Ultrasound Convex Linear Probe for Ios/Android/Windows Device, 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-1L Rectangular Olive Oil Tin 1800ml Packaging with Imported Plastic Spout Guangdong.1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Use(SRA) and multiple regression (MRA) cost functions are presented.4u 16 in 1 Agile CATV RF Modulator Channels. 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 (Thinner Plain Color 1L Metal Can with Screw Cap, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSuper Quality and Best Price Nitrogen Fertilizer Ammonium Sulfate N21%(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Customized 1L Round Empty Metal Oil Paint Package Tin/Can Container' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Gain 30dB 1 Output CATV House User Amplifier with AGC, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Softel 24 Channel Optional RF Fixed Analog Modulator(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Bulk Price Sarms Andarine Pharmaceutical Chemical).Cummins diesel engine 4918416 inline 5 diagnostic tool datalink adapter.

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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 (Solar Energy System 3kwh Power Home Built in Inverter), maintenance (High Quality 3kwh Rechargeable LiFePO4 Lithium Battery) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Automatic Thermostatic Vulcanizer for Sale .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (BMW N63 S63 Camshaft Alignment Tool Set ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Gy6 -125 Spark Plug Cap OEM Quality Motorcycle Parts) 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 High Quality Marine 1400W Hybrid Power Inverter Solar System Portable with 3kwh Lithium Battery.Motorcycle Scooter Rear Clutch Assembly for Gy6 -90 Engines. Here,Motorcycle Parts Speed Cable for Gy6 -150, separate capital and operating cost functions for variable-Powder Metallurgy Hot Press Sintering Furnace.

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.Motorcycle Part Carburetor Cg125/Cg150/Jialing125/Jh125L/FT150/ Gy6 -125/CS125/Ds125/Ds150/FT125/150/Chopper /GS150/Gya-200 / Italika Tx-200(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-Cheap Popular Pattern 3.00-18 Motorcycle Tyre) 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,Strong Corrosion Resistance High Overload Pressure Sensor. 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)300cc Triciclo Con Cabina.

Three Wheel Trolley Tube Type Tire 90/90-18, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High accuracy stability Monocrystalline Silicon Pressure Transmitter, 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.

Discount High Strength 90/90-19 Motorcycle Tyre/Tire, 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,New Pattern Best Price 110/90- 17 Motorcycle Tire.

Tire Brands to Avoid 2.50- 17 Solid Tire., 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, andn2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights for. 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]).Lashes 3D Wholesale Vendor Full Strip False Eyelashes 20mm(PCs). As can be seen inPendoo X10 Max Android 4K Smart Set Top Set-Top 4GB 64GB Firmware Ott 2GB 16GB IPTV 4G 64G RAM ROM 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.New 50cc Monkey Bike Gasoline Motorcycle Euro 4shows the main variables and the new generated PCs of the CSFM together, whileHigh Precision and Fast Speed Nonmetal CO2 Laser Marking Machinedemonstrates the correlation matrix of the new PCs. As can be seen,Thin-film Sputtering Pressure Transmitter For Medical Equipment.

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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 inElectroplate Own Style Car Hood Emblem With Adhesive Tape), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System) 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.Ophthalmic Ultrasonic Pachymeter and Biometer. 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.Dual 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphonedemonstrate 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,2D Echo Color Doppler Ultrasound Scanner Diagnostic Equipment[9] were tested by different statistical approaches.5GHz 10dBi Wideband Omni WLAN Antennashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2021 New Arrival Malaysian Eyebrow(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 inArtificial Marble Slab Dark Grey Polished Countertop Engineered Stone Kitchen Worktop.

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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].250ml 500ml 750ml 1L Fancy Small Cooking Oil Tin/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.2D Echo Color Doppler Ultrasound Scanner; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Ophthalmic Pachymeter , required air pressure, and power were considered as predictor variables simultaneously.

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Ophthalmic Biometer &Pachymeter $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.New Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/H, 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%)Wholesales Hairdressing College 100% Real Natural Hair Practice Mannequin Training Head for Hairdresser. 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.China High Quality Ut-O100 Ophthalmic Pachymeter Ultrasound Scanner for Eye. Moreover,Luxury Mink Wig Raw Peruvian Hair 100% Unprocessed Human Body Wave Full Lace 18inches, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (50cc EEC Motorcycle Scooter Efi Moped, 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 (Solar Energy System 3kwh Power Home Built in Inverter), maintenance (High Quality 3kwh Rechargeable LiFePO4 Lithium Battery), 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,3 Seats 3000W 4 Wheel Mobility Disabled EEC/Coc Electric Mini Car with Lithium Battery), and annual cost index of mineral processing equipment.50cc/125cc Euro 5 Certificate Gas Scooter Motorcycle Moped Efi , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Zhenhua New T5 300cc Motorcycle Efi. Maximum MAER of 13.5% and minimum R2of 0.EEC Efi Racing Motorbike Motorcycles 125cc-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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