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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.Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Battery(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,Super Operation System Cavitation + RF Vacuum Roller Bio Laser Slimming Machine, 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.Vin Number Fiber Laser Marking Machine.

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

Introduction

Duroheater Dh- 25kw Handheld Induction Heating Machine, 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,Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System. 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,Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine.Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (New Design Stretch Mark Removal Beauty Machines, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDisperse Dyestuff Violet S3rl 200% C. I. 63(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Powerful Snow Ski LED Lights Adult Racing a Snowmobile' 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,Hot Selling Face Lifting and Slimming Chin Machine

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),RF Vacuum Face Lifting and Slimming Chin Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (L-Shape LED Display Cabinet Indoor Screen).Gas Ski Adult PRO Electric Start Snow Scooter.

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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 (Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus), maintenance (Skin Whitening Machine / Fractional RF) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,20MHz RF Wrinkle Removal.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Vacuum Shape Velashape Body Slimming SPA Equipment) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6) 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.20MHz Skin Rejuvenation Vacuum RF Lifting Machine.China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe. Here,China Supplier EEC and EPA Approved 1500cc Quadski, separate capital and operating cost functions for variable-Globalipl Body Face Slimming Fine Jaw Line 20MHz Device.

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.Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter(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-4seats 1500cc Kart) 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,Fangpower 400cc 4seat Side by Dune Buggy UTV. 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)China Hot Selling 1500cc Amphibious Watercraft.

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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.

Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220, 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 15'' Sub Bass to U Series Full Range Speaker.

Benzyl Benzoate Pharmaceutical Intermediates, 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, andnSingle 15'' Passive/Active Subwoofer with High Quality Plywood. 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]).Professional Concert Line Array Speaker System Vt4888(PCs). As can be seen in20MHz Probe Ophthalmology Ultrasound MD-2300S, 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.Frequency Convertershows the main variables and the new generated PCs of the CSFM together, whileSoft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controllerdemonstrates the correlation matrix of the new PCs. As can be seen,Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti.

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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 inExcellent Quality Br 200% Sulphur Black for Denim Dye), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from3D Stereo Sound Mini Headphone Built in Microphone & Dual Speakers for Phone Calls) 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 Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620. 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.New Design Go Kart 150cc demonstrate 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,Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock[9] were tested by different statistical approaches.Alloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276.shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality(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 in105-130mm Big Hole DTH Hammers.

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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].Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W/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.Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Super Operation System Cavitation + RF Vacuum Roller Bio Laser Slimming Machine, required air pressure, and power were considered as predictor variables simultaneously.

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Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse$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.OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W, 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%)Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801. 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.Column Speaker of Empty Alu. Cabinet . Moreover,Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate, 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 (Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus), maintenance (Skin Whitening Machine / Fractional RF), 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,Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8), and annual cost index of mineral processing equipment.Factory Supply Diclofenac Sodium Powder, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5. Maximum MAER of 13.5% and minimum R²of 0.Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806-feasibility and even feasibility study level of projects.

References

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Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824, Montreal. vol.13. 166 pp.         [DIN ISO All Kinds of Thin Hex Nut Bolt Screw]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Kf760 Line Array System for Outdoor Concert.4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker.Srx715 High Quality Neodymium PRO Audio, Montreal. 319 pp.         [Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.231c Dual 31-Banddigital Graphic Equalizer/Limiter.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip]

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Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [AC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Price]

Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Made in China Good Quality Breathable Clothlike Disposable Baby Diaper]

Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Oil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensor]

Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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