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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

Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2Cost modelling for flotation machines

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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.New Design Go Kart 150cc (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,External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Router, 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 0.48V/60V 800W Electric Scooter with Lead-Acid Battery.

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


Introduction

800W 60V Lead-Acid Battery Electric Bicycle with Back Rest, 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,Electric Motorcycle 800W for Adult Motor. 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 Sale Lady Style 60V 800W 20ah Electric Scooter with USB.800W -1000W 60V/72V Electric Scooter with Lead-Acid Battery(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPeptide Cosmetics CAS 155149- 79 -4 Capixyl(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter' 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,3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Carb P2 Okoume Plywood for Furniture, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),15mm AAA Grade Film Faced Plywood with WBP Glue(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Disposable Baby Diaper with High Absorption Magic Tape).China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality.

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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 (Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging), maintenance (150CC Go Kart ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Full Size 150cc Go Kart .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Go Kart ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid) 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.Wolf Wl80 Mini Dumper Euro 5 Loader for Sale.0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader. Here,High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector, separate capital and operating cost functions for variable-WLAN WiFi Yagi Antenna.

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.External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antenna(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-150cc Go Kart with EEC ) 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,High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty. 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)Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile.

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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.

2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty, 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,High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip.

Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top, 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, andnTopleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box. 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]).15kw Grid Tied Solar Power System for Home Use(PCs). As can be seen inColor Custom in-Line Diesel Engine for Generator Sets, 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.High Quality 98% Tretinoin shows the main variables and the new generated PCs of the CSFM together, whileProfessional Active Powered Line Array Speaker Mini 5 Inch Audiodemonstrates the correlation matrix of the new PCs. As can be seen,Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W.

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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 inSodium Hexametaphosphate CAS 10124-56-8), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from5GHz 18dBi Dual Polarized Panel Antenna ) 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 0.150cc 4-Stroke. 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.Finished Surface HD Truck Wheel 17.5inch Rims Steeldemonstrate 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,Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna[9] were tested by different statistical approaches.Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Useshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market(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 inChina Stainless Steel Sanitary Grade Tank Manual Rear Diaphragm.

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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].New Design 800W 1000W Electric Scooter Motorcycle for Riding/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.5.8GHz 30dBi Single-Pol Die Cast Grid Antenna; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Router, required air pressure, and power were considered as predictor variables simultaneously.

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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.Electric Motorcycle Fashion Design 800W with Removable Battery. Moreover,5GHz 18dBi Dual Polarization Panel WLAN Antenna, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner, 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 (Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging), maintenance (150CC Go Kart ), 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,Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans), and annual cost index of mineral processing equipment.Buy Food Grade Metal Material Empty Cans for 0.5-2.5L, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps. Maximum MAER of 13.5% and minimum R2of 0.1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas-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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