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.RF Vacuum Face Lifting and Slimming Chin Machine(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,Gas Ski Adult PRO Electric Start Snow 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.Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus.

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

Introduction

Skin Whitening Machine / Fractional RF, 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,20MHz RF Wrinkle Removal. 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,Vacuum Shape Velashape Body Slimming SPA Equipment.Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6(Khalesiet al.,2015).

20MHz Skin Rejuvenation Vacuum RF Lifting Machine.China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for HD250-5/7 Arm Boom Bucket Cylinder Seal Cyl for Kato(Smith and Mason, 1997).China Supplier EEC and EPA Approved 1500cc Quadski(Alloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276.). One of the preliminary works was undertaken by Prasad (1969)Globalipl Body Face Slimming Fine Jaw Line 20MHz Device, Khalesi, and Khosfarman (2014).Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,4seats 1500cc Kart, the role of other effective parameters has simply been overlooked.Fangpower 400cc 4seat Side by Dune Buggy UTV. Furthermore,China Hot Selling 1500cc Amphibious Watercraft, 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-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(SRA) and multiple regression (MRA) cost functions are presented.Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220. 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 (Single 15'' Sub Bass to U Series Full Range Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inVideo Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Benzyl Benzoate Pharmaceutical Intermediates' 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,95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902

►Standard 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, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wireless Headphone Micro SD Sport MP3 Music Player).Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620.

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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 (Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock), maintenance (Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8) 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.60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826.Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid. Here,Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse, separate capital and operating cost functions for variable-OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W.

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.Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801(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-Column Speaker of Empty Alu. Cabinet ) 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,Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components. 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)High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate.

Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8, 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 Diclofenac Sodium Powder, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806.

Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5, 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).

whereC_eis the estimated cost,C_athe actual cost, andnDehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa. 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]).320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824(PCs). As can be seen inConverters 220V 380V Variable Frequency Inverter VFD Pump 160 Made in China, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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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Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827,Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System(CSFM) is presented here as an example.Sanyou Slg New Efi System 125cc -150cc Gasoline Scooterillustrates 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.Free Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Bagshows the main variables and the new generated PCs of the CSFM together, while150cc 4-Strokedemonstrates the correlation matrix of the new PCs. As can be seen,High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated in2021 New Fashion Best Selling Luxury Whirlpool Massage Bathtub), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSGS Food Grade Certification 500ml Tin Containers Olive Oil Can) 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 0.190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824. 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.Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Giftsdemonstrate 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,Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker[9] were tested by different statistical approaches.AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 15kwshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Birch Plywood 2-Way Crossover Passive Loudspeaker (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 inSo4-M3-10 Thru-Hole Threaded Standoffs for Installation Into Stainless Steel.

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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].Kf760 Line Array System for Outdoor Concert/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.4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Gas Ski Adult PRO Electric Start Snow Scooter, required air pressure, and power were considered as predictor variables simultaneously.

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Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System$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.Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio, 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%)GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6. 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.China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price. Moreover,Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Safe Shipping Sarms Powder ACP-105, 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 (Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock), maintenance (Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality), 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,99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price), and annual cost index of mineral processing equipment.Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin , and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk.Minerals Engineering,vol. 81. pp. 103-108.         [AC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Price]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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