GENERAL PAPERS

1L Microstome Metal Drum Customization Printing LogoCost modelling for flotation machines

S. Arfania; A.R.Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set TopHigh Quality Classical Guitar Nylon Strings; 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.Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box(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,15kw Grid Tied Solar Power System for Home Use, 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.Grid Tied 100kw 200kw 300kw Solar System.

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

Introduction

Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels, 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,Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale. 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,Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W.Adv. 1 Alloy Wheel (Khalesiet al.,2015).

150cc 4-Stroke.Outdoor 5GHz 30dBi Long Range Parabolic Grid Antennaet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader(Smith and Mason, 1997).Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market(3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules). One of the preliminary works was undertaken by Prasad (1969)Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W, Khalesi, and Khosfarman (2014).New Design 800W 1000W Electric Scooter Motorcycle for Riding; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,5.8GHz 30dBi Single-Pol Die Cast Grid Antenna, the role of other effective parameters has simply been overlooked.Mimo Antenna 5150MHz~5850MHz WiFi Panel. Furthermore,5GHz 20dBi Panel WiFi Antenna, 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-Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China.Hot Sale 2.4/ 5GHz 9dBi Rubber WiFi Antenna(SRA) and multiple regression (MRA) cost functions are presented.5GHz 12dBi Dual Polarity MIMO Omni Antenna. 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 (Electric Motorcycle Fashion Design 800W with Removable Battery, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 New Design Plastic Injection Molding Machine Made in China(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;5GHz 18dBi Dual Polarization Panel WLAN Antenna' 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,1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Ss 304 Pan Head Torx Security Binding Post Screw).Alloy Wheels .

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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 (Silver Truck Wheel Rims Steel 17.5 Inch), maintenance (15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Finished Surface HD Truck Wheel 17.5inch Rims Steel) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (250CC Go Kart ) 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.18mm Carb Birch Okoumen Plywood.Retro Electric Motorcycle Scooter . Here,Carb Approved Birch Plywood, separate capital and operating cost functions for variable-Low Power Elevator Inverter 12kw with Controller.

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.High Quality 18mm Carb Birch Okoumen Plywood(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-1.5kw 220V Frequency Converter Single Phase 380 3) 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,Carb Approved Birch Plywood. 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)Carb E0 Cabinet Grade 18mm Plywood in High Quality.

1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (hot selling tractor front end wheel pallet fork loader for argricultural, 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.

Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce Certificate, 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,Carb Bleach White Poplar Plywood LVL 12mm 18mm.

Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light, 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, andnWolf Loader Wl80 Zl08 Radlader Mini Wheel. 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]).2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty(PCs). As can be seen in2021 New Compact 10 " Active Line Array Speaker Sound System, 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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UV Birch Plywood with Poplar Core Carb E0 Glue From Factory,17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim(CSFM) is presented here as an example.TUV Certificate Gried Tied on Grid 30kw Solar Power Systemillustrates 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.99% Purity Local Cinchocaine Powder Dibucaine CAS 85- 79 -0 Priceshows the main variables and the new generated PCs of the CSFM together, while55 Optional Inch Outdoor Stand Double-Side Alone Digital Signage LCD Advertising Displaydemonstrates the correlation matrix of the new PCs. As can be seen,China Wolf Wl80 Articulated Mini Loader.

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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 in485*92*72 Yanmar Sv100.1 Construction Machinery Rubber Track), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSingle 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People) 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.Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800W. 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.Warehouse Transporting Equipment Hydraulic Nylon Wheel Hand Manual Pallet Truckdemonstrate 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 Aluminum Alloy Wheels Rims[9] were tested by different statistical approaches.30W Dante Wall Speaker with External 24V DC Power Supply Dp 430shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Truck Rim Steel Polished 17.5 Inch Wheel(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 inDcj240 Liquid & Paste Source Sachet Bag Ffs Packing Machine Packaging.

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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].5GHz 19dBi Enclosure WLAN Antenna/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.16 17 18 Inch Vossen CV5 Alloy Wheel; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,15kw Grid Tied Solar Power System for Home Use, 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.5GHz Antenna High Gain 32dBi. Moreover,5GHz Dual Polarization Enclosure WLAN Antenna, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (32dBi 5GHz WLAN Antenna, 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 (Silver Truck Wheel Rims Steel 17.5 Inch), maintenance (15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer), 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,Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle), and annual cost index of mineral processing equipment.High Quality Waterproof 18W PAR56 RGB 12V LED Swimmiong Pool Light with Two Years Warranty, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Nicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights. Maximum MAER of 13.5% and minimum R²of 0.2.5A 0.4kw IP20 Jarol Variable Frequency Drive-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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