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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.China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery(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,Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter, 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.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw.

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


Introduction

Low Price B/C/D/E Grade Wood/Natural Birch Veneer, 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,Hot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycle. 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,Solar Pump Inverter Price Quality AC Drive Frequency Converter.Good Quality Pine Wood Core Block Board with Okume Film(Khalesiet al.,2015).

Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies.Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kitset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle(Smith and Mason, 1997).Titan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitch(Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801). One of the preliminary works was undertaken by Prasad (1969)Chinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter, Khalesi, and Khosfarman (2014).Cheap Chinese Moped Scooter with Lithium Battery Rechargeable Electric Motos Motorcycle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2021 Wuxi Best Selling New Type Racing Mobility Adults 2 Wheels Electric Motorcycles E Motos CKD Scooters, the role of other effective parameters has simply been overlooked.Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw. Furthermore,2021 Hot Selling Two Wheel Cheap Powerful Electric Moped Motorcycles with Pedals Chinese Supply CKD Scooter, 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-Titan OEM New Type Qingzhou Loadefr Factory RC Avant Mini Wheel Loaders with Ce.Zl08 0.8 Ton Garden Tractor Pay Loader 800kg Mini(SRA) and multiple regression (MRA) cost functions are presented.Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service. 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 (Wolf Shovel Loader E5 for Agriculture Work, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in12V DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock' 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,Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (FDA Ce Waterless Nano Silver Factory Hand Sanitizer).Natural Okoume Venner 0.90mmx6X9FT.

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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 (All Sizes Good White Recon Veneer), maintenance (Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,15mm Pine Wood Core Block Board for Construction.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (The New Natural Mahogany Okoume Veneer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture) 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.982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercial.2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles. Here,Windows Mini PC Pipo X10 PRO Z8350 Chipset Smart TV Box Android 5.1 4G RAM 64G ROM, separate capital and operating cost functions for variable-5 Liter Paint Tin Can with Customized Printing Plastic Handle.

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.2 Liter Square Small Metal Tin Can for Paint with Handle and Lid(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-502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use) 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,2382 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use. 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)HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB.

Innopack 5L Paint Engine Oil Tin Can with Plastic Handle, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Innopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price, 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.

Cheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model, 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,Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart.

Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver, 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, andnVariable Speed Inverter China Frequency Converter AC. 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]).Natural Material Veneer Hand Made Woven for Wall Decoration(PCs). As can be seen in1L /1.5L Glass Juice Bottle/Beverage Bottle, 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 Power Outdoor Flood Light for Stadium/ Tennis Court 600W 800W 1000Wshows the main variables and the new generated PCs of the CSFM together, whileZl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Cedemonstrates the correlation matrix of the new PCs. As can be seen,5kw Inverter Grid Tied Solar Power System for Home.

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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 inManufacturers Metal Enamel Airline Pin Badge Promotional Poppy Factory Price Button), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromZl08f Mini Tractor Articulated Hydraulic Front End Wheel Loader) 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.Rosen 55kw Grid Tied on Solar System to Global Market. 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.Fangpower 400cc 4seat Side by Dune Buggy UTVdemonstrate 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,Cheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Sale[9] were tested by different statistical approaches.PA Speaker Steel Back Plate shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Cheap Electric Scooter 60V800W20ah for Adult From China(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 inAuto Washing Powder Packing 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].Cheap Cute Electric Scooter with Foot Pedal 60V800W20ah From China/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.China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter, 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.Okoume Veneer. Moreover,Luneng Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Chinese Factory Tin Can with Brush for Glue and Sealants Adgesives, 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 (All Sizes Good White Recon Veneer), maintenance (Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet), 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,Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food), and annual cost index of mineral processing equipment.Customized Metal Tea Canister Food Packaging Box Round Can Tin, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Square Tin with Airtight Lever Lid for Tea. Maximum MAER of 13.5% and minimum R2of 0.Hot Sale Factory Direct Easy Open Tin Can for Food Cannery-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage.Chinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer.Wolf Baumaschinen Zl08 Radlader with Canopy, Montreal. 265 pp.         [10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike.Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta.Wolf Baumaschinen Zl08 Radlader with Canopy, Montreal. 319 pp.         [Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias TyreFatory Supply Thiosemicarbazide CAS 79 -19-6Corresponding author

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