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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.Water Proof Closed Box Delivery Tricycle(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 50Hz 80A Built-in Inverter 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.Barrow Mini Dumper with Three Wheels.

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

Introduction

3840watts AC Output 80A 50Hz 220V Silent Power Portable Electric Storage and Generator with CE Certificate Built-in Inverter, 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,Oil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensor. 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,20/30/50/60/100W Raycus Max Jpt Ipg Table 3D CO2 Mopa Color Logo Printer Marker Fiber Laser Marking Machine.Gy6 150cc EEC Scooter(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warranty, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Solid State Inductive Heating Furnace for Tyre Cord Wire' 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,Low Failure Rate High Efficiency Induction Metal Heating Machine

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Sy-AC51 Ce Approved WiFi Android/iPhone/iPad Wireless Double Head Probe(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (8 Feet Spindleless Wood Log Veneer Rotary Peeling Lathe Machine).Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty.

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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 (Hot Sale Mini High Frequency 25kw Induction Heater Price), maintenance (Convex Series Probe Type Wireless Mini Ultrasound Scanner) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2ND Generation Ultrasound Bone Densitometer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Selling 2ND Generation Ultrasound Bone Densitometer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Real Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelash) 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.High Quality Economic Ultrasound a/B Scan for Ophthalmology .Ut-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eye. Here,Ophthalmic a Scan and Pachymeter Combined Unit, separate capital and operating cost functions for variable-Ophthalmic Optical Pachymeter & Biometer / a Scan .

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.1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier(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-Roadside Emergency Set Auto Car Tool Kit) 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,SA831r Outdoor Return Path CATV Trunk Amplifier. 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)2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim.

Portable Induction Heater for Crystal Growth, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dry diaphragm membrane sanitary pressure transducer, 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.

Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale, 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 Frequency Induction Heater .

Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace, 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, andnSoftel 4u 12 Channel Agile CATV Analog RF Modulator. 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]).Maintence Grease Gun 21V LCD Real Time Information Reading Hand Tool(PCs). As can be seen in50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter, 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.Okoume Veneershows the main variables and the new generated PCs of the CSFM together, whileoff Grid PV Panel Generator Solar Energy Power System 3kwh for Home/Outdoor Lightingdemonstrates the correlation matrix of the new PCs. As can be seen,The Best Sale and Low Price Chinese Brake Lathe .

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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 inRGB 24key 12V SMD5050 5m 10m 15m Flexible LED Strip Light with WiFi Controller Adapter), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from5kw Grid Tied Solar Inverter Three Phase for Home Use) 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.Transparent Ceramics Hot Press Sintering Furnace. 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.Handheld Small Portable Digital High Frequency Induction Brazing Machine with Soft Cabledemonstrate 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,6mm Raw Plain MDF ISO9001/ Carb for Decoration[9] were tested by different statistical approaches.1-Bromo-3shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.ISO(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 inSunrans Hot Sale Outdoor Fashion SPA Jets Massage Tub.

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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].HPM410W Submerged Integrated Level Sensor Transmitter/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.Industrial Mining All Welded Anti Explosion Pressure Transmitter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,3840watts 50Hz 80A Built-in Inverter 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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Coconut Shell Carbon Charcoal Making Machines Production Line$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 0.2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF Board, 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%)Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head. 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.Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw. Moreover,Glue E1 Carb Plain Mositure-Proof MDF, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification, 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 (Hot Sale Mini High Frequency 25kw Induction Heater Price), maintenance (Convex Series Probe Type Wireless Mini Ultrasound Scanner), 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,Draught Fan Digital LED Micro Air Wind Pressure Sensor), and annual cost index of mineral processing equipment.HPM128 High stability Explosion-proof Pressure Transmitte, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Compressor Low Cost Small Type Pressure Transducer. Maximum MAER of 13.5% and minimum R²of 0.Hot Sale Motorcycle with 150cc Gy6 Engine-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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