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.Full Size 150cc Go Kart (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,Go Kart , 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.Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid.

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

Introduction

Wolf Wl80 Mini Dumper Euro 5 Loader for Sale, 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,0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader. 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,High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector.WLAN WiFi Yagi Antenna(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Grid Tied 100kw 200kw 300kw Solar System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCustomized Modern Design Metal Oil Tin Can 1L Empty Storage Container(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels' 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,Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Frozen IQF Dices).New Design 800W 1000W Electric Scooter Motorcycle for Riding.

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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 (5.8GHz 30dBi Single-Pol Die Cast Grid Antenna), maintenance (Mimo Antenna 5150MHz~5850MHz WiFi Panel) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,5GHz 20dBi Panel WiFi Antenna.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sale 2.4/ 5GHz 9dBi Rubber WiFi Antenna) 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.5GHz 12dBi Dual Polarity MIMO Omni Antenna.Electric Motorcycle Fashion Design 800W with Removable Battery. Here,5GHz 18dBi Dual Polarization Panel WLAN Antenna, separate capital and operating cost functions for variable-Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner.

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.Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans(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-Buy Food Grade Metal Material Empty Cans for 0.5-2.5L) 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,Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps. 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)1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas.

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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.

Alloy Wheels , 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,Silver Truck Wheel Rims Steel 17.5 Inch.

15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer, 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 Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC. 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]).Finished Surface HD Truck Wheel 17.5inch Rims Steel(PCs). As can be seen inEngine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993, 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.1L Microstome Metal Drum Customization Printing Logoshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Classical Guitar Nylon Stringsdemonstrates the correlation matrix of the new PCs. As can be seen,Carb Approved Birch Plywood.

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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 inOEM Men Wholesale Digital Printed Crew Neck Oversized Short Sleeve T-Shirt), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromGain 30dB 1 Output CATV House User Amplifier with AGC) 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.High Quality 18mm Carb Birch Okoumen Plywood. 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.Teak Wood Veneer Woven Design for Plywood Doordemonstrate 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,1.5kw 220V Frequency Converter Single Phase 380 3[9] were tested by different statistical approaches.TUV Certificate Gried Tied on Grid 30kw Solar Power Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Carb Approved Birch Plywood(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 inWaterproof Case for Samsung Galaxy S3 I9300.

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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].1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor/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 selling tractor front end wheel pallet fork loader for argricultural; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Go Kart , required air pressure, and power were considered as predictor variables simultaneously.

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Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light$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.Wolf Loader Wl80 Zl08 Radlader Mini Wheel, 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%)2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty. 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.High Quality Carb Certified Birch Faced Furniture Plywood. Moreover,UV Birch Plywood with Poplar Core Carb E0 Glue From Factory, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim, 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 (5.8GHz 30dBi Single-Pol Die Cast Grid Antenna), maintenance (Mimo Antenna 5150MHz~5850MHz WiFi Panel), 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,China Wolf Wl80 Articulated Mini Loader), and annual cost index of mineral processing equipment.Digital ATSC Receiver Internet TV Set Top Box, and over- extrapolation could result in misguiding estimates.

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Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Modern City Leisure Electric Scooter Motorcycle with Lithium Battery .Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Hot Sale Dual 10 " Speaker PRO Audio ]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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