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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.45cm Offset Satellite Dish TV Antennas(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,150ah Lithium Iron Phosphate , 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 0.2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things.

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


Introduction

E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers, 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,C Band Satellite TV Antenna 150cm. 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,Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China.Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725 Yineng Mini Wheel Loader 18.5kw Cabin(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farms' 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),2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (3 Inch Down-The-Hole Hammer and Bit).12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion.

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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 (15kw Solar Inverter Grid Tied), maintenance (Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Famous Brand Hr912 Shovel Loader for Agriculture Working.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader) 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.Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter.China Factory Lithium 150ah Battery with BMS AC Output. Here,Intelligent Power Saver for Industry Use, separate capital and operating cost functions for variable-CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm.

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.Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotary(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-RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty) 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,Made in China Strong Compact Mini Front Loader . 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)2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals.

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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.

RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports, 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,Wholesale High Performance Metal Mc4 Connector.

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whereCeis the estimated cost,Cathe actual cost, andn1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car. 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]).2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip(PCs). As can be seen inChrome Quadrant Shower Enclosure with Plastic Double Roller, 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.Solar Pump Power Supply Drive Supplier Motor Inverter DC to AC Convertershows the main variables and the new generated PCs of the CSFM together, whilePortable Lithium Ion Battery Solar Energy System 3kwh All in One Power for Use Home and Outdoordemonstrates the correlation matrix of the new PCs. As can be seen,2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K.

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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 inProfessional LED Stage Lighting), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNew Products Lift Recliner Chair Sofa ) 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 0.1L Custom Round Small Metal Empty Tin Cans with Lids. 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.One and Half Rows Three Wheeler for Saledemonstrate 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,2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty[9] were tested by different statistical approaches.1g 1/8oz 1/4oz 1/2oz 1oz Custom Aluminum Foil Laminated Mylar Ziplock Food Packaging Pouch Plastic Film Bags for Mmj Gummy Bears Exit Containershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo (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 in6419/6420 - O&Kai Original High Quality Deep Groove Ball Bearings Factory.

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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].1L Metal Tin Cans with Lid for Paint or Chemical/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.Free Sample 5GHz Antenna Rubber Gain; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,150ah Lithium Iron Phosphate , required air pressure, and power were considered as predictor variables simultaneously.

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4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box$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 0.38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad, 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%)Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid. 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.High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty. Moreover,E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner, 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 (15kw Solar Inverter Grid Tied), maintenance (Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode), 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,Erbium-Doped Fiber Amplifier Optical Power Adjustable ), and annual cost index of mineral processing equipment.Dirt Bike for 199 Cc Displacement, 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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