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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.1L Tin Can with Metal Cap for Food Storage(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,Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60, 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 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate Lid.

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


Introduction

Motorcycle Plane Bearing Spare Parts for Gy6 125-Oumurs, 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,1L Aluminum Tin Can for Food Packaging . 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,1L Cone Top Tin Can with Screw Cap.Gy6 -125 Motorcycle Spark Plug Cap Parts(Khalesiet al.,2015).

Mining Cement Stainless Steel 316L Protective Pressure Sensor.Scooter Partset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wechip Customized Booting Logo Rk3318 H96 Max 4+32GB/4+64GB IPTV Set Top Box 4K(Smith and Mason, 1997).Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price(5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator). One of the preliminary works was undertaken by Prasad (1969)Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price, Khalesi, and Khosfarman (2014).Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Flexible Label Laser Marking Machine for Automotive, the role of other effective parameters has simply been overlooked.CATV Indoor Amplifier 8200. Furthermore,4-20mA Oil Fuel Sensor Explosion Proof Differential Pressure Transmitter, 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-Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator.Metal Fiber Ring Color Laser Engraving Machine(SRA) and multiple regression (MRA) cost functions are presented.Perfect Laser Rotary DOT Peen Marker for Sale. 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 (0-5V 0-10V Raw Petro High Temperature Sapphire Pressure Transducer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inZl08 Chargeuse Wheel Loader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Sells Solar Power System for Home 3kwh with Both AC&DC Output' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Solar Energy Storage System Built-in Inverter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Portable Renewable Solar Energy DC Home Lighting Power Generator System 20W).4-20mA Diffused Silicon Micro Size Hygienic Pressure Transducer.

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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 (Lithium Battery 200ah LiFePO4 Pack 3kwh), maintenance (Smokeless Rice Husk Continuous Carbonization Oven for Sale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,45kw Mf Induction Heating Machine Heater.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Ytd-Dih25 IGBT Automatic Induction Heating Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Solar Battery Solutions 3kwh Lithium LiFePO4 Hybrid System) 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.Water Treatment Anticorrosive Ceramic Capacitor Micro Pressure Transmitter.Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports. Here,316L Ceramic Pressure Transducer for Health Care Industry, separate capital and operating cost functions for variable-Factory Wholesale Price Industrial Induction Vacuum 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.Mini Size Water Differential Pressure Sensor for HVAC(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-Water Transmitter Diffused Silicon Level Sensor for Fluid) 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,Digital Display Hygienic Pressure Indicator Transmitter. 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)High Stable Universal Pressure Transmitter.

4-20mA Micro Air Gas Differential Pressure Sensor Transducer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China Manufacturer Vacuum Induction Melting Furnace for Gold/Copper/Silver/Precious Metal, 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.

Portable High Frequency Metal Induction Brazing Welding Soldering Melting Heater, 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,Motorcycle Tires/Motorcycle Tyre/Tire 2.50- 17 2.50-18 2.75- 2.75-18.

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whereCeis the estimated cost,Cathe actual cost, andnMobile Induction Heater for Welding Brazing Melting. 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]).Fractional RF & Thermal Beauty Machine(PCs). As can be seen inEngine Oil Cans 4 Liter Motor Lubricating Tin Can, 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.Motorbicycle with Stable Wheelsshows the main variables and the new generated PCs of the CSFM together, whileIN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probedemonstrates the correlation matrix of the new PCs. As can be seen,Mini Kd Key Generator Remotes Warehouse in Your Phone Support Android Make More Than 1000 Auto Similar Kd900.

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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 inHpf-80 Nice Price Non-Digging Floor Spring Machine Hydraulic Patch Fitting), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHot Sale Popular Use Insecticide Deltamethrin 2.5 Sc for Crop Health) 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 0.90/90-21 China Super Cheap Motorcycle Tire/Tyre. 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.Laser Aluminum Resealable Value Pack Stand up Zip Lock Bag Hologram Self Seal Zipper Plastic Sealing Digital Food Packaging Mylar Paper Glossydemonstrate 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,110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Market[9] were tested by different statistical approaches.ACTIVE AL908 0.8 ton Mini Wheel Loader with Wood Gripper and Pallet Forkshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Water Bottles Wrapping Machines Semi Automatic Film Shrink Machine(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 inSelling Best 55 65 Inch 4K Curved Smart LED TV.

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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].Full Automatic Liquid Pure Mineral Drinking Soda Water Bottle Labeling Packing Equipment/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

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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.Motorcycle Stator Coil/Magneto/Bobina Del Estator/Moto Partes/Repuestos Gy6 8coils. Moreover,No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Two Years Warranty, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Gy6 /Jog Motorcycle Regulator/Rectifier Parts, 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 (Lithium Battery 200ah LiFePO4 Pack 3kwh), maintenance (Smokeless Rice Husk Continuous Carbonization Oven for Sale), 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,Yog Spare Parts Accessories Motorcycle Stator Comp Gy6 125), and annual cost index of mineral processing equipment.Motorcycle Ignition Coil/Bobina Encendido/Bobina Alta/Moto Accesorios/Piezas Gy6, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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