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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.Globalipl Body Face Slimming Fine Jaw Line 20MHz Device(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,Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter, 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 0.4seats 1500cc Kart.

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


Introduction

Fangpower 400cc 4seat Side by Dune Buggy UTV, 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,China Hot Selling 1500cc Amphibious Watercraft. 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,Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W.Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array(Khalesiet al.,2015).

Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220.Single 15'' Sub Bass to U Series Full Range Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Uns No6600 Inconel600 Steel Plate(Smith and Mason, 1997).Benzyl Benzoate Pharmaceutical Intermediates(Sanyou Slg New Efi System 125cc -150cc Gasoline Scooter). One of the preliminary works was undertaken by Prasad (1969)Single 15'' Passive/Active Subwoofer with High Quality Plywood, Khalesi, and Khosfarman (2014).Professional Concert Line Array Speaker System Vt4888; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use, the role of other effective parameters has simply been overlooked.High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock. Furthermore,95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902, 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-Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti.Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception(SRA) and multiple regression (MRA) cost functions are presented.Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620. 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 (Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFree Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Bag(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality' 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,Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (CNC Full Enclosed Stainless Steel Fiber Laser Cutting Machine).Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801.

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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 (Column Speaker of Empty Alu. Cabinet ), maintenance (Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Supply Diclofenac Sodium Powder) 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.Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5.Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806. Here,Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5, separate capital and operating cost functions for variable-Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa.

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.320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824(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-PRO Audio Accessories of Line Array Rigging K1 ) 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,Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827. 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)Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System.

High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6, 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.

190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824, 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,Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker.

Birch Plywood 2-Way Crossover Passive Loudspeaker , 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, andnSrx715 High Quality Neodymium PRO Audio. 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]).Kf760 Line Array System for Outdoor Concert(PCs). As can be seen inProfessional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205, 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.150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATVshows the main variables and the new generated PCs of the CSFM together, whileHot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Giftsdemonstrates the correlation matrix of the new PCs. As can be seen,Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System.

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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 in30L Canvas Travel Tote Luggage Men's Weekender Duffle Bag), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip) 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.GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6. 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.Sw-1000p Ophthalmic Pachymeterdemonstrate 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,China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price[9] were tested by different statistical approaches.Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception(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 inNew Arrirals Japanese Anime Action Figure Toy Cartoon Character Model PVC.

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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].99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price/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.Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1. Moreover,Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Sell Isopropyl Alcohol 99.9%, 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 (Column Speaker of Empty Alu. Cabinet ), maintenance (Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components), 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,Speaker Wall Bracket White/Black ), and annual cost index of mineral processing equipment.High Security Door Peephole Eyes Viewer DV3828b , and over- extrapolation could result in misguiding estimates.

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USBM. 1987.Wall Mount Speaker Bracket ,Professional Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [20oz/30oz/14oz/ 10oz Stainless Steel Insulated Yetis Tumbler Chinayetiprice 64oz 18oz 36oz]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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