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.Duroheater Dh- 25kw Handheld Induction Heating 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,Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System, 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.Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine.

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

Introduction

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Methodology

Data

Thirty-seven major flotation machines (Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSolvent Violet 10b 9(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;RF Skin Tightening Face Lifting Machine' 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,Gas Ski Adult PRO Electric Start Snow Scooter

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Skin Whitening Machine / Fractional RF(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Calatta Series Artificial Engineered Quartz Stone Countertop/Vanity Top /Island/ Benchtop).20MHz RF Wrinkle Removal.

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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 (Vacuum Shape Velashape Body Slimming SPA Equipment), maintenance (Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,20MHz Skin Rejuvenation Vacuum RF Lifting Machine.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Supplier EEC and EPA Approved 1500cc Quadski) 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.Globalipl Body Face Slimming Fine Jaw Line 20MHz Device.Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter. Here,4seats 1500cc Kart, separate capital and operating cost functions for variable-Fangpower 400cc 4seat Side by Dune Buggy UTV.

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.China Hot Selling 1500cc Amphibious Watercraft(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-Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W) 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,Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array. 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)Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220.

Single 15'' Sub Bass to U Series Full Range Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Benzyl Benzoate Pharmaceutical Intermediates, 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.

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whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Professional Concert Line Array Speaker System Vt4888.

Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use, 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, andnHigh Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock. 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]).95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902(PCs). As can be seen inPolyamide Resin, 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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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.with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warrantyshows the main variables and the new generated PCs of the CSFM together, whileHot Selling Electric Race Vietnam Motorcycle Tire demonstrates the correlation matrix of the new PCs. As can be seen,Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock.

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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 in30inch Transitional Style Free-Standing Cabinet High Quality Bathroom Vanity), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light 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.Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 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.320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetatedemonstrate 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,Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W[9] were tested by different statistical approaches.Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Enginesshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8(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 Design Waterproof Nylon Sport Travel Fashion Waist Bag.

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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].Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid/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.Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System, required air pressure, and power were considered as predictor variables simultaneously.

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Column Speaker of Empty Alu. Cabinet $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.Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components, 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%)High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate. 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.Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8. Moreover,Factory Supply Diclofenac Sodium Powder, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5, 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 (Vacuum Shape Velashape Body Slimming SPA Equipment), maintenance (Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6), 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,Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806), and annual cost index of mineral processing equipment.Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5, and over- extrapolation could result in misguiding estimates.

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References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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