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 Digital Handheld Ultrasound Scanner with Wireless Probe & Ultrasonic Mslpu40(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,Pin Machine Suppliers Marker Systems, 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.USB&WiFi Ultrasound Convex Linear Probe for Ios/Android/Windows Device.

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

Introduction

1L Rectangular Olive Oil Tin 1800ml Packaging with Imported Plastic Spout Guangdong, 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,1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Use. 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,4u 16 in 1 Agile CATV RF Modulator Channels.Thinner Plain Color 1L Metal Can with Screw Cap(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Automatic Thermostatic Vulcanizer for Sale , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Precision and Fast Speed Nonmetal CO2 Laser Marking Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;BMW N63 S63 Camshaft Alignment Tool Set ' 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,Powder Metallurgy Hot Press Sintering Furnace

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Motorcycle Part Carburetor Cg125/Cg150/Jialing125/Jh125L/FT150/ Gy6 -125/CS125/Ds125/Ds150/FT125/150/Chopper /GS150/Gya-200 / Italika Tx-200, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Cheap Popular Pattern 3.00-18 Motorcycle Tyre(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Qt4-35b Price List of Concrete Block Making Machine 2021).Strong Corrosion Resistance High Overload Pressure Sensor.

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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 (300cc Triciclo Con Cabina), maintenance (Three Wheel Trolley Tube Type Tire 90/90-18) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High accuracy stability Monocrystalline Silicon Pressure Transmitter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Discount High Strength 90/90-19 Motorcycle Tyre/Tire) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Pattern Best Price 110/90- 17 Motorcycle Tire) 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.Tire Brands to Avoid 2.50- 17 Solid Tire..2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights for. Here,Lashes 3D Wholesale Vendor Full Strip False Eyelashes 20mm, separate capital and operating cost functions for variable-2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip.

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.Chinese 300cc Cheap Farm Gas Trike (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-3.00- 17 Super High Quality Natural Rubber Motorcycle Tire.) 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,Thin-film Sputtering Pressure Transmitter For Medical Equipment. 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:

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Ophthalmic Ultrasonic Pachymeter and Biometer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2D Echo Color Doppler Ultrasound Scanner Diagnostic Equipment, 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.

2021 New Arrival Malaysian Eyebrow, 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,18" Remy Hair Lace Front Closure Natural Color Body Wave.

250ml 500ml 750ml 1L Fancy Small Cooking Oil Tin, 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, andn2D Echo Color Doppler Ultrasound Scanner. 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]).Ready to Ship Best Quality Brazilian Human Hair Body Wave Extensions(PCs). As can be seen inWholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart, 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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Ophthalmic Biometer &Pachymeter ,New Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/H(CSFM) is presented here as an example.Kf760 Line Array System for Outdoor Concertillustrates 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.Dual 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphoneshows the main variables and the new generated PCs of the CSFM together, while5GHz 10dBi Wideband Omni WLAN Antennademonstrates the correlation matrix of the new PCs. As can be seen,Wholesales Hairdressing College 100% Real Natural Hair Practice Mannequin Training Head for Hairdresser.

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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 inAutomaitc Powder Sachet Packing Machine), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from2.5A 0.4kw IP20 Jarol Variable Frequency Drive) 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.Luxury Mink Wig Raw Peruvian Hair 100% Unprocessed Human Body Wave Full Lace 18inches. 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.2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reportsdemonstrate 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,50cc EEC Motorcycle Scooter Efi Moped[9] were tested by different statistical approaches.Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bagshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.3 Seats 3000W 4 Wheel Mobility Disabled EEC/Coc Electric Mini Car with Lithium 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 in750ml Clear Glass Bordeaux Wine Bottle Flat-Bottomed Screw-Top Finish.

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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].Zhenhua New T5 300cc Motorcycle Efi/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.EEC Efi Racing Motorbike Motorcycles 125cc; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Pin Machine Suppliers Marker Systems, required air pressure, and power were considered as predictor variables simultaneously.

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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.Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes. Moreover,BAW Made of Electric Car with Lithium Battery, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter, 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 (300cc Triciclo Con Cabina), maintenance (Three Wheel Trolley Tube Type Tire 90/90-18), 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,M7 Model LHD&Rhd EV with Solar Panel Pure Electric Car), and annual cost index of mineral processing equipment.50cc Monkey Bike Gasoline Motorcycle Euro4 Efi, 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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