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.250ml 500ml 750ml 1L Fancy Small Cooking Oil Tin(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,2D Echo Color Doppler Ultrasound Scanner, 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.Ready to Ship Best Quality Brazilian Human Hair Body Wave Extensions.

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

Introduction

8-30inches Malaysian Straight Hair Bundles 100% Human Weaves, 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,Ophthalmic Biometer &Pachymeter . 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,New Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/H.Wholesales Hairdressing College 100% Real Natural Hair Practice Mannequin Training Head for Hairdresser(Khalesiet al.,2015).

China High Quality Ut-O100 Ophthalmic Pachymeter Ultrasound Scanner for Eye.Luxury Mink Wig Raw Peruvian Hair 100% Unprocessed Human Body Wave Full Lace 18incheset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Mylar Laminated Ziplock Plastic Stand-up Food Packaging Bag for Nut/Gel/Food/Vitamin(Smith and Mason, 1997).50cc EEC Motorcycle Scooter Efi Moped(CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz). One of the preliminary works was undertaken by Prasad (1969)3 Seats 3000W 4 Wheel Mobility Disabled EEC/Coc Electric Mini Car with Lithium Battery, Khalesi, and Khosfarman (2014).50cc/125cc Euro 5 Certificate Gas Scooter Motorcycle Moped Efi ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Zhenhua New T5 300cc Motorcycle Efi, the role of other effective parameters has simply been overlooked.EEC Efi Racing Motorbike Motorcycles 125cc. Furthermore,Motorbicycle with Efi Fuel Supply and Steel Tube Frame, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-High Speed Kawasaki Ninja Motorcycle 250cc.Mini Nameplate Pneumatic Engraving Machine(SRA) and multiple regression (MRA) cost functions are presented.Electric Smart Cargo Car Tricycle 800W 40km/H Long Running Range. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (Mini electric truck/ express vehicle/ Express vehicles, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChemical Reagent Bloom Tech 2(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes' 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,4x2 electric pickup truck/ Electric vehicle/ car

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 New Products Motor Power 800W Electric Trolley Tractor(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Individually Addressable RGB 6W 8W 10W 12W LED Triac Dimmable Spotlight Lighting CCT Changing Indoor Down Light for Home WiFi).Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines.

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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 (1L Tin Can with Metal Cap for Food Storage), maintenance (Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1L 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate Lid.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Motorcycle Plane Bearing Spare Parts for Gy6 125-Oumurs) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1L Aluminum Tin Can for Food Packaging ) 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.1L Cone Top Tin Can with Screw Cap.Gy6 -125 Motorcycle Spark Plug Cap Parts. Here,Mining Cement Stainless Steel 316L Protective Pressure Sensor, separate capital and operating cost functions for variable-Scooter Parts.

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.Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price(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-Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price) 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,Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum. 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)Flexible Label Laser Marking Machine for Automotive.

CATV Indoor Amplifier 8200, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (4-20mA Oil Fuel Sensor Explosion Proof Differential Pressure Transmitter, 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.

Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator, 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,Metal Fiber Ring Color Laser Engraving Machine.

Perfect Laser Rotary DOT Peen Marker for Sale, 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, andn0-5V 0-10V Raw Petro High Temperature Sapphire Pressure Transducer. 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]).Hot Sells Solar Power System for Home 3kwh with Both AC&DC Output(PCs). As can be seen in2021 60V 20ah EEC Motorcycle Electric Moped Scooter 500/ 800W Motorbike, 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.TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Addressshows the main variables and the new generated PCs of the CSFM together, whileBuy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmeticdemonstrates the correlation matrix of the new PCs. As can be seen,Anti Explosion High Stability Sealed Pressure Sensor.

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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 inLakesea Brand Crocodile 33X12.5r18lt 4X4 Tyres off Road Mud Mt Extreme Performance 4WD Open Country), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromAudio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell) 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.Screw Compressor Low Cost Small Type 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.AL908 Wood Gripper Wheel Loader with Euro III Engine for Saledemonstrate 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,Solar Energy Storage System Built-in Inverter[9] were tested by different statistical approaches.Single 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5cashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.4-20mA Diffused Silicon Micro Size Hygienic Pressure Transducer(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 in37.25-35 Tubeless E3/L3 Pattern Taishan Brand Tyre for Mine and Quarry Usage.

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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].Smokeless Rice Husk Continuous Carbonization Oven for Sale/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.45kw Mf Induction Heating Machine Heater; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2D Echo Color Doppler Ultrasound Scanner, required air pressure, and power were considered as predictor variables simultaneously.

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Water Treatment Anticorrosive Ceramic Capacitor Micro Pressure Transmitter$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.Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports, 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%)316L Ceramic Pressure Transducer for Health Care Industry. 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.Factory Wholesale Price Industrial Induction Vacuum Furnace. Moreover,Mini Size Water Differential Pressure Sensor for HVAC, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Water Transmitter Diffused Silicon Level Sensor for Fluid, 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 (1L Tin Can with Metal Cap for Food Storage), maintenance (Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60), 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,Digital Display Hygienic Pressure Indicator Transmitter), and annual cost index of mineral processing equipment.High Stable Universal Pressure Transmitter, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,4-20mA Micro Air Gas Differential Pressure Sensor Transducer. Maximum MAER of 13.5% and minimum R²of 0.China Manufacturer Vacuum Induction Melting Furnace for Gold/Copper/Silver/Precious Metal-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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