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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.200kw Grid Tied Solar System for Factory Use(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,Grid Tied Inverter 10kw 15kw 20kw Home Set Solar 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 0.1kw Solar Power System Grid Tied 1000W on Panel Price.

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

Introduction

Commercial Solar System 100kw Grid Tied /on 100kVA 60kw, 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,Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration. 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,Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT.Hot selling compact 800kgs wheel loader for garden(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inL-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (925 Silver Fashion Jewelry Bracelet B001).WLAN WiFi Yagi Antenna.

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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 (External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antenna), maintenance (150cc Go Kart with EEC ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme) 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.800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle .2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty. Here,High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip, separate capital and operating cost functions for variable-Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top.

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.Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box(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-15kw Grid Tied Solar Power System for Home Use) 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,Grid Tied 100kw 200kw 300kw Solar System. 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)Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels.

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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.

Adv. 1 Alloy Wheel , 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,150cc 4-Stroke.

Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna, 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, andnHot Sale Popular Model 60V 800W Electric Motorcycle for India Market. 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]).Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W(PCs). As can be seen inNylon 12/Nylon Granules/Polyamid 12/Transparent Glasses Frame, 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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5.8GHz 30dBi Single-Pol Die Cast Grid Antenna,Mimo Antenna 5150MHz~5850MHz WiFi Panel(CSFM) is presented here as an example.China Frequency Converter Variable Speed Drive 7.5kw Inverter Three Phase Power Saveillustrates 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.China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisoleshows the main variables and the new generated PCs of the CSFM together, whileCarbon Black Masterbatch for Injection Mouldingdemonstrates the correlation matrix of the new PCs. As can be seen,5GHz 20dBi Panel WiFi Antenna.

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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 inCustom Fashion Hip Hop Jewellery 925 Sterling Silver Diamond Rapper Stud Earrings for Men), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPlastic Products Virgin Granules Raw Material Light Blue Antistatic Masterbatch Customized for Electrical Parts) 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.Hot Sale 2.4/ 5GHz 9dBi Rubber WiFi Antenna. 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.Factory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Pricedemonstrate 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,5GHz 12dBi Dual Polarity MIMO Omni Antenna[9] were tested by different statistical approaches.Frequency Converter 50HP Three Phasesshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Electric Motorcycle Fashion Design 800W with Removable Battery(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 inEn 60309  3p 320V Blue Flush Mounted Socket.

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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].Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner/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.Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Grid Tied Inverter 10kw 15kw 20kw Home Set Solar System, required air pressure, and power were considered as predictor variables simultaneously.

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1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas$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 0.10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim, 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%)Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim. 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.Alloy Wheels . Moreover,Silver Truck Wheel Rims Steel 17.5 Inch, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer, 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 (External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antenna), maintenance (150cc Go Kart with EEC ), 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,High Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC), and annual cost index of mineral processing equipment.Finished Surface HD Truck Wheel 17.5inch Rims Steel, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,250CC Go Kart . Maximum MAER of 13.5% and minimum R²of 0.18mm Carb Birch Okoumen Plywood-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce Certificate.Carb Bleach White Poplar Plywood LVL 12mm 18mm.Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light, Montreal. 265 pp.         [Professional Loudspeaker Line Array PRO Audio]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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