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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.Gas Ski Adult PRO Electric Start Snow Scooter(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,Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus, 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.Skin Whitening Machine / Fractional RF.

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


Introduction

20MHz RF Wrinkle Removal, 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,Vacuum Shape Velashape Body Slimming SPA Equipment. 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,Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6.20MHz Skin Rejuvenation Vacuum RF Lifting Machine(Khalesiet al.,2015).

China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe.China Supplier EEC and EPA Approved 1500cc Quadskiet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2.5A 0.4kw IP20 Jarol Variable Frequency Drive(Smith and Mason, 1997).Globalipl Body Face Slimming Fine Jaw Line 20MHz Device(320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate). One of the preliminary works was undertaken by Prasad (1969)Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter, Khalesi, and Khosfarman (2014).4seats 1500cc Kart; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Fangpower 400cc 4seat Side by Dune Buggy UTV, the role of other effective parameters has simply been overlooked.China Hot Selling 1500cc Amphibious Watercraft. Furthermore,Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W, 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-Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array.Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220(SRA) and multiple regression (MRA) cost functions are presented.Single 15'' Sub Bass to U Series Full Range Speaker. 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 (Benzyl Benzoate Pharmaceutical Intermediates, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMotorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Single 15'' Passive/Active Subwoofer with High Quality Plywood' 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,Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (None-Toxic Solid Summer Anti-Mosquito Repellent Star Type Mosquito Cream).Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock.

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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 (Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality), maintenance (Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826) 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 Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid.Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse. Here,OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W, separate capital and operating cost functions for variable-Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801.

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.Column Speaker of Empty Alu. Cabinet (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-Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components) 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 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate. 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)Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8.

Factory Supply Diclofenac Sodium Powder, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5, 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.

Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806, 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,Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5.

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whereCeis the estimated cost,Cathe actual cost, andn320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824. 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]).PRO Audio Accessories of Line Array Rigging K1 (PCs). As can be seen inK05/K10/ K20 /K30/K40 Tungsten Carbide Flat, 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.Clinical Equipment Portable Ultrasound Bone Densitometer for Hospitalshows the main variables and the new generated PCs of the CSFM together, whileOutdoor Speaker Professional Audio Factorydemonstrates the correlation matrix of the new PCs. As can be seen,Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6.

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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 inWholesale 18K Gold Plated 925 Sterling Silver Jewelry CZ Ring for Women), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Factory Pricing Empty Round Food Grade Nut Tin Cans) 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.Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker. 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.TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproofdemonstrate 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,Birch Plywood 2-Way Crossover Passive Loudspeaker [9] were tested by different statistical approaches.Jwell PLA Pet Sheet Cup Packing Making Extrusion Line Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Srx715 High Quality Neodymium PRO Audio(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 inClassic Blue Sleeve Laptop Bag Backpack Handbags.

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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].4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker/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.231c Dual 31-Banddigital Graphic Equalizer/Limiter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus, required air pressure, and power were considered as predictor variables simultaneously.

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Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio$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.GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6, 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%)China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price. 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.Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception. Moreover,Safe Shipping Sarms Powder ACP-105, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk 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 (Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality), maintenance (Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6), 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,Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin ), and annual cost index of mineral processing equipment.Shiny Fenacetin Crystal and Non Powder, and over- extrapolation could result in misguiding estimates.

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References

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Khalesi, M. R., Zarei, M. J.,RF Vacuum Face Lifting and Slimming Chin Machine, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1.Minerals Engineering,vol. 81. pp. 103-108.         [Disperse Violet 63]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter]

Lashgari, A.Hot Sell Isopropyl Alcohol 99.9%, A.R. 2013.Speaker Wall Bracket White/Black ,High Security Door Peephole Eyes Viewer DV3828b ,vol. 23. pp. 441-446.         [Excellence in Quality Manufacturer High Diaper Bulk Disposable Baby Diapers]

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Mular, A.L. 1982.Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery.White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk.Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8, Montreal. 265 pp.         [Amino Acid L-Arginine 99% CAS 74- 79 -3]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Methyl 2-Bromovalerate CAS 19129-92-1 with Safety Delivery.Factory Price Diethyl 2.Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8, Montreal. 319 pp.         [Adult 150cc 200cc 300cc EPA Approved Three Wheel Mptorcycle Scooter]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Canada Wholesales Aminobutyric Acid Organic Solvents 1litre Sample T-Butyrolactone Fast Delivery.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Dl-Isoleucine Powder CAS 443- 79 -8]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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