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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.Camping Power / RV LiFePO4 Energy Storage(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,3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate, 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.Flying Online Fiber Laser Marking Machine with Conveyor Belt.

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

Introduction

3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate, 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,Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 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,Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa.Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (New Mini Willys Jeep Available on 110cc, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChin Top Supplier Supply L- (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Sell 800W Delivery City Electric Scooter for Take-out Business' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Bi-Directional Transmission Distribution Amplifier SA822(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (OTR Tire).Encryption Ts Satellite IRD.

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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 (Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods), maintenance (Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Closed Canvas Box 2 Ton Cargo Tricycle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Sanyou 125cc Efi System with Delivery Box Gas Scooter) 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.New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle.28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale. Here,250cc Oil Cooling Dirt Bike with EPA, separate capital and operating cost functions for variable-Sanyou Slg New Efi System 125cc -150cc Gasoline Scooter.

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.250cc Gasoline off Road Motorbike(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-0.6m 5GHz Parabolic Antenna with Gain 28dBi) 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,Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart. 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)150cc 200cc 250cc ATV Quad Bike for Adults.

4 Stroke Buggy 150cc ATV, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS, 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.

The Newest 110cc 125cc 150cc Toyota Mini Buggy , 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,High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS.

High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty, 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, andn0.4m 5GHz Parabolic Antenna with Gain 23dBi. 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]).Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price(PCs). As can be seen in10W Tabletop Series Fiber Laser Marking Machine, 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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IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light,Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on(CSFM) is presented here as an example.Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warrantyillustrates 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.Yog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterzshows the main variables and the new generated PCs of the CSFM together, while50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drivedemonstrates the correlation matrix of the new PCs. As can be seen,New Mini Willys Jeep Available on 110cc.

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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 inFactory Supply Gw-0742 CAS 317318-84-6 with Safe Delivery), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromRosen 7kw Grid Tied on Solar Panel 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 0.12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty. 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.Frequency Inverter Converter 50Hz 60Hzdemonstrate 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,High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip[9] were tested by different statistical approaches.Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyaceticshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25(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 inDouble Y Shape Pattern Manufacturer Wholesale Lapel Pin.

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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].Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two 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.IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality Solar PV Grid- Tied Inverters$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 0.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip, 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%)Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P. 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.2 Ton Loader 3 Wheel Cargo Tricycle. Moreover,Grid Tied Inverter 3kw, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (5kw Solar PV Kit Power Gird Tied Inverter, 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 (Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods), maintenance (Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike), 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,Factory Mining Tyre), and annual cost index of mineral processing equipment.Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,150cc Front Cabin Cargo Tricycle. Maximum MAER of 13.5% and minimum R²of 0.OTR G2 Grader Tubeless Tyre 17.5-25-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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