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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.502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use(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,2382 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, 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.HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB.

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


Introduction

Innopack 5L Paint Engine Oil Tin Can with Plastic Handle, 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,Innopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price. 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,Cheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model.Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart(Khalesiet al.,2015).

Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver.Variable Speed Inverter China Frequency Converter ACet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2.4- 5GHz Omni Antenna (Smith and Mason, 1997).Natural Material Veneer Hand Made Woven for Wall Decoration(High Purity Amino Acid L-Arginine Powder). One of the preliminary works was undertaken by Prasad (1969)458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Use, Khalesi, and Khosfarman (2014).5kw Single Phase Home Grid Tied Solar Power System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Hot Sale 15kw Grid Tied Solar Photovoltaic Power System, the role of other effective parameters has simply been overlooked.5kw Inverter Grid Tied Solar Power System for Home. Furthermore,975 Solar 30kw 40kw on Grid Tie Power System for Factory/House Roof, 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-Rosen 55kw Grid Tied on Solar System to Global Market.Cheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Sale(SRA) and multiple regression (MRA) cost functions are presented.Hot Cheap Electric Scooter 60V800W20ah for Adult From China. 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 (Luxury 350W 2 Wheel Electric Bike Scooter/Electric Moped with Pedals Motorcycle Scooter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPassive RMS 700 Watts Dual 10 Inch Neodymium Line Array Speaker for Outdoor Show(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Cheap Cute Electric Scooter with Foot Pedal 60V800W20ah From China' 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,Frequency Converter 60Hz 50Hz 200HP

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Okoume Veneer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (31.5 Inch Desktop Gaming Monitor 240Hz 1ms Curved 1500r 32inch FHD LCD Computer).Luneng Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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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 (Chinese Factory Tin Can with Brush for Glue and Sealants Adgesives), maintenance (Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Customized Metal Tea Canister Food Packaging Box Round Can Tin.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Square Tin with Airtight Lever Lid for Tea) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sale Factory Direct Easy Open Tin Can for Food Cannery) 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.968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof.0.15mm Rosewood Veneer. Here,Interior Decorative Woven Veneer Customized Style, separate capital and operating cost functions for variable-4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780.

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.Farm Machinery Zl08f Mini Wheel Loader with 4 in 1 Bucket(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-Yn725 Yineng Mini Wheel Loader 18.5kw Cabin) 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,Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket. 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)Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage, 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.

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whereXobsis the observed value,xethe estimated value at time/placeI,and n,Wolf Baumaschinen Zl08 Radlader with Canopy.

Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike, 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, andnQuarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta. 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]).0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture(PCs). As can be seen inGlass Bottle 1L Empty 1000ml Milk, 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 Purity 99% Intermediate 1shows the main variables and the new generated PCs of the CSFM together, while10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roofdemonstrates the correlation matrix of the new PCs. As can be seen,Natural Wood Veneer Oak /Cherry/Walnut MDF Board.

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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 inChristmas Santa Claus Inflatable Model), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromVegetable and Fruit Fertilizer Crystal Caprolactam Grade Ammonium Sulphate) 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.Chinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket. 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.100% Passing The Customs Europe Free Shipping BMK Glycidate 16648-44-5demonstrate 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,0.3mm Rotary Cut Red Wood Veneer[9] were tested by different statistical approaches.PA /CPP Rotort Pouchshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm(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 in1125kVA/900kw Power Generator Diesel Engine Silent Genset Set Powered by Weichai with Coc.

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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].Gurjan Veneer Keruing/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.Factory Product 4K Android TV Box Mxq PRO Rk3229 7.1 1GB 8GB. Moreover,970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Best Price Food Tin Metal Box Clip Lid Candy Can, 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 (Chinese Factory Tin Can with Brush for Glue and Sealants Adgesives), maintenance (Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food), 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,3L/5 Liter Metal Can Packing Empty Cans for Ink and Coating From China Manufacturer), and annual cost index of mineral processing equipment.High Quality Mxq PRO 4K Rk3229 1GB 8GB Android7.1 Quad Core Android TV Box, and over- extrapolation could result in misguiding estimates.

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0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [100% Water Soluble Vitamin a Palmitate Powder Retinyl]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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