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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

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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.USB&WiFi Ultrasound Convex Linear Probe for Ios/Android/Windows Device(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,1L Rectangular Olive Oil Tin 1800ml Packaging with Imported Plastic Spout Guangdong, 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 0.1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Use.

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


Introduction

4u 16 in 1 Agile CATV RF Modulator Channels, 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,Thinner Plain Color 1L Metal Can with Screw Cap. 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,Customized 1L Round Empty Metal Oil Paint Package Tin/Can Container.HDPE Pesticide Bottle 500ml 1L Foliar Fertilizer Plastic(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Gy6 -125 Spark Plug Cap OEM Quality Motorcycle Parts, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in899 Alicosolar 9kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 High Quality Marine 1400W Hybrid Power Inverter Solar System Portable with 3kwh Lithium Battery' 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,Strong Corrosion Resistance High Overload Pressure Sensor, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),300cc Triciclo Con Cabina(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Aluminum/Aluminium Foil Enduse for Lid 8079 15-80microns).Three Wheel Trolley Tube Type Tire 90/90-18.

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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 (High accuracy stability Monocrystalline Silicon Pressure Transmitter), maintenance (Discount High Strength 90/90-19 Motorcycle Tyre/Tire) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,New Pattern Best Price 110/90- 17 Motorcycle Tire.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Tire Brands to Avoid 2.50- 17 Solid Tire.) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights for) 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.Lashes 3D Wholesale Vendor Full Strip False Eyelashes 20mm.2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip. Here,Chinese 300cc Cheap Farm Gas Trike , separate capital and operating cost functions for variable-3.00- 17 Super High Quality Natural Rubber Motorcycle Tire..

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.Thin-film Sputtering Pressure Transmitter For Medical Equipment(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-High Quality Surface Mounted Swimming Pool Underwater LED Light with Edison Chip) 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,Ophthalmic Ultrasonic Pachymeter and Biometer. 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)2D Echo Color Doppler Ultrasound Scanner Diagnostic Equipment.

2021 New Arrival Malaysian Eyebrow, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (18" Remy Hair Lace Front Closure Natural Color Body Wave, 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.

250ml 500ml 750ml 1L Fancy Small Cooking Oil Tin, 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,2D Echo Color Doppler Ultrasound Scanner.

Ready to Ship Best Quality Brazilian Human Hair Body Wave Extensions, 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, andn8-30inches Malaysian Straight Hair Bundles 100% Human Weaves. 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]).Ophthalmic Biometer &Pachymeter (PCs). As can be seen in1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, 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.5GHz 10dBi Wideband Omni WLAN Antennashows the main variables and the new generated PCs of the CSFM together, whileHigh Quality 5000W Grid Tied Solar Power Generation System Competitive Pricedemonstrates the correlation matrix of the new PCs. As can be seen,Luxury Mink Wig Raw Peruvian Hair 100% Unprocessed Human Body Wave Full Lace 18inches.

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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 inFlakes Granules Powder Calcium Chloride 74% 94%), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChinese Manufacture Jcb332/Y6195 Universal Cylinder Seal Kit) 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 0.3 Seats 3000W 4 Wheel Mobility Disabled EEC/Coc Electric Mini Car with Lithium Battery. 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.Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bagdemonstrate 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,50cc/125cc Euro 5 Certificate Gas Scooter Motorcycle Moped Efi [9] were tested by different statistical approaches.60V800W Electric Scooter with Highlight Rear Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Zhenhua New T5 300cc Motorcycle Efi(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 inEuropean Standard High Filling Accuracy Powder Machine.

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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].Motorbicycle with Efi Fuel Supply and Steel Tube Frame/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.High Speed Kawasaki Ninja Motorcycle 250cc; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1L Rectangular Olive Oil Tin 1800ml Packaging with Imported Plastic Spout Guangdong, required air pressure, and power were considered as predictor variables simultaneously.

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Mini electric truck/ express vehicle/ Express vehicles$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.Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes, 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%)BAW Made of Electric Car with Lithium Battery. 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.EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter. Moreover,M7 Model LHD&Rhd EV with Solar Panel Pure Electric Car, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (50cc Monkey Bike Gasoline Motorcycle Euro4 Efi, 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 (High accuracy stability Monocrystalline Silicon Pressure Transmitter), maintenance (Discount High Strength 90/90-19 Motorcycle Tyre/Tire), 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,4x2 electric pickup truck/ Electric vehicle/ car), and annual cost index of mineral processing equipment.Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle , and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,Pin Machine Suppliers Marker Systems, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-1L 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate Lid.Minerals Engineering,vol. 81. pp. 103-108.         [Vr36 Dual 10 Inch 3 Way Passive Compact Line Array]

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Lashgari, A.1L Aluminum Tin Can for Food Packaging , A.R. 2013.1L Cone Top Tin Can with Screw Cap,Gy6 -125 Motorcycle Spark Plug Cap Parts,vol. 23. pp. 441-446.         [16.9-26 18.4-30 18.4-34]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity.]

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Mular, A.L. 1982.Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price.Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price.Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum, Montreal. 265 pp.         [24V 40ah Lithium Iron Battery for Electric Bike]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Flexible Label Laser Marking Machine for Automotive.CATV Indoor Amplifier 8200.Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum, Montreal. 319 pp.         [L18 /86131 Falante Professional 18inch Subwoofer 700W New Product China Supplier Hot Sale]

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Noakes, M. and Lanz, T. 1993.Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator.Metal Fiber Ring Color Laser Engraving Machine, Carlton, victoria. 412 pp.         [Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9]

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Prasad, L. 1969.6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi .110/90- 17 Used Tubeless Second Hnad Motor Tire/Tyre, Metallurgy and Petroleum, Montreal. pp. 3-15.         [RGB/White 18W PAR56 LED Swimming Pool Light]

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18" Remy Hair Lace Front Closure Natural Color Body Wave, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Cody Lundin Ever Fashion Men's Hot Selling Camouflage Short Sleeve Customize Comfortable Quick Dry Sports T Shirt]

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USBM. 1987.Anti Explosion High Stability Sealed Pressure Sensor,Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Luggage Removable Hand Trolley Wheeled Backpacks]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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