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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.Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr(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,Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag, 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.Hot Sale Vacuum Bag Nylon Material for Agricultural Products.

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


Introduction

Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic, 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,Bio-Degradable Brown Kraft Food Packaging Bag. 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,Child Resistant Waterproof Plastic Bag with Zipper.Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (10'' Inch Ferrite Woofer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inIGBT Induction Heater Heating Equipment for Metal Surface (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production' 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),Mylar Custom Printing Barrier Exit Bag(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Lovely Hamster Backpack Children Animal School Bags).10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment.

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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 (10 Inch Coaxial Speaker Professional Driver 250wrms Line Array), maintenance (Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Manufacturer Supply 1.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Dual 10inch Powerful Line Array Speaker Ds210 Professional) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02) 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.Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker.Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794. Here,Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4, separate capital and operating cost functions for variable-High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment.

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.10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box(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-Pharmaceutical Intermediate 1) 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,2-Phenylbenzimidazole|716- 79 -0 99% High Purity. 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)Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3.

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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.

New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale, 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,Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price.

High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper, 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, andnSell Well Opa. 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]).Best Price O-Phthalaldehyde(PCs). As can be seen inChina Hot Sale Professional Speaker Dual 10 Inch Line Array, 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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Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide,Qsn Professional Audio Dual 10 "Power Speaker Xt10(CSFM) is presented here as an example.Ophthalmic Equipment Biometer Scan aillustrates the high correlation between predictor variables for the CSFM.

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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.Europe Popular 5kw Grid Tied Home Solar Energy System with Ceshows the main variables and the new generated PCs of the CSFM together, whileActive 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party Systemdemonstrates the correlation matrix of the new PCs. As can be seen,Hot Selling Powder Thiabendazole CAS 148- 79 -8.

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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 inFactory Supply Sulphur Blue 7), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAC Drive Solar Pump Inverter 220V 380V Three Phase Inverters) 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.Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio. 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.Professional Line Array System Dual 10 Inch 3 Way Passivedemonstrate results for the machines modelled in this research.

Multiple regression results

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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].Two-Way Passive Line Array /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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Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant$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.Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca, 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%)Mylar Child Resistant Waterproof Plastic Bag with Zipper. 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.Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag. Moreover,Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price, 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 (10 Inch Coaxial Speaker Professional Driver 250wrms Line Array), maintenance (Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker), 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,Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock), and annual cost index of mineral processing equipment.Custom Aluminum Foil Laminated Bag with Zipper, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.High Quality Chemical Product 4- .Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System.Top Quality CAS 643- 79 -8 O-Phthalaldehyde, Montreal. 319 pp.         [Outdoor PRO Audio Loudspeaker]

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Prasad, L. 1969.Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast Delivery.Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Bt Sk Cat Straight Collet Power Multi-Lock Chuck Milling Holder Arbors]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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