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S. Arfania; A.R.5 Wheels Gasoline Cargo Tricycle with Front Cabin50cc EEC Motorcycle Scooter Efi Moped; M.R. Khalesi

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.IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light(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,Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on, 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.New Mini Willys Jeep Available on 110cc.

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

Introduction

150cc ATV for Adults Lmatv-150hm, 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,12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty. 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 Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip.L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Factory Mining Tyre, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDah Solar 100kw System Price on Grid Tied Inverter for Commercial Use(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power' 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,E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),1L Paint Tin Cans/Empty Food Grade Can with Lid(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fully Automatic Qt6-15 Interlocking Concrete Block Mould Making Machine with Factory Price).17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders.

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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 (20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre), maintenance (High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Electric Tricycle 350W 500W 800W for Adult.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Llantas High Quality L5 OTR Tyre 26.5-25) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1L Empty Round Brake Fluid Can Boxes) 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.Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder.Motor King Rear Double Axle Tricycle for Heavy Loader. Here,Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding, separate capital and operating cost functions for variable-1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent.

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.1L /1000ml Extra Virgin Olive Oil Metal Can(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-1L Olive Oil Can Cooking Empty Tin Can/Pot Metal) 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,Heavy Loader 5wheel Cargo Tricycle with Cabin. 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 Precision and Fast Speed Nonmetal CO2 Laser Marking Machine.

Motor Cargo Tricycle for 2-3ton Loader, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1L Empty Round Tin Can with Plastic Lid Manufacturer, 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.

1L Extra Virgin Olive Oil Metal Can with Cover, 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,Solar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500W.

Gy6 -125/ 150ccformaular, 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, andnDouble Chasis Cargo Tricycle. 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]).Euro 5 Gy6 -50cc 4t Moped(PCs). As can be seen in6-Cylinder Diesel Engine Water Coolant for Electric Generator Set, 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.150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi.shows the main variables and the new generated PCs of the CSFM together, whileDiesel Engine Parts Fuel Injection Nozzle Bdll150s6571demonstrates the correlation matrix of the new PCs. As can be seen,Barrow Mini Dumper with Three Wheels.

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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 inBeautiful Sculpture UV Gel for Drawing Flowers), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from10inch Speaker for Music Bar PRO Audio Sound System) 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.Oil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensor. 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.904L Uns N08904 SUS890L 1.4539 ASTM-A240 Stainless Steel Round Square Hex Flat Angle Channel Rod/Bardemonstrate 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,20/30/50/60/100W Raycus Max Jpt Ipg Table 3D CO2 Mopa Color Logo Printer Marker Fiber Laser Marking Machine[9] were tested by different statistical approaches.Sell Well 800W 60V Electric Motorcycle for Daily Ridingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Gy6 150cc EEC Scooter(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 in1360kw Open Type Power Diesel Generator Set Powered by Mtu Engine.

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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].with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty/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.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 Years Warranty; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on, required air pressure, and power were considered as predictor variables simultaneously.

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Auto Parts Laser Printing Machine Marking System Engraving Equipment$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.Water-Proof Cover 3 Wheel Cargo Gasoline Trike, 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%)Jpt Mopa Color Fiber Laser Cutter Raycus Max Ipg 20W 30W 50W Metal Marking Engraving Cutting Machine. 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.2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W. Moreover,Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (30W CO2 Touch Screen Laser Marking Coding Engraving Machine, 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 (20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre), maintenance (High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights), 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,with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warranty), and annual cost index of mineral processing equipment.Solid State Inductive Heating Furnace for Tyre Cord Wire, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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