GENERAL PAPERS

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S. Arfania; A.R.New Design Go Kart 150cc Natural Wood Veneer Oak /Cherry/Walnut MDF Board; 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.External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Router(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,48V/60V 800W Electric Scooter with Lead-Acid Battery, 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 0.800W 60V Lead-Acid Battery Electric Bicycle with Back Rest.

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

Introduction

Electric Motorcycle 800W for Adult Motor, 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,Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB. 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,800W -1000W 60V/72V Electric Scooter with Lead-Acid Battery.Rosen 5kw on Grid Solar System with Tied Inverter(Khalesiet al.,2015).

Solar Energy System 5kw Panel Home Grid Tied Power.200kw Grid Tied Solar System for Factory Useet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box(Smith and Mason, 1997).Grid Tied Inverter 10kw 15kw 20kw Home Set Solar System(Potassium 2). One of the preliminary works was undertaken by Prasad (1969)1kw Solar Power System Grid Tied 1000W on Panel Price, Khalesi, and Khosfarman (2014).Commercial Solar System 100kw Grid Tied /on 100kVA 60kw; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration, the role of other effective parameters has simply been overlooked.Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT. Furthermore,Hot selling compact 800kgs wheel loader for garden, 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 Efficiency 6kw Grid Tied Solar Power System for Home.China Safe Automatic CVT 150cc Go Kart Motor with Reverse(SRA) and multiple regression (MRA) cost functions are presented.3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive. 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 (Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Carb P2 Plywood/EPA Plywood /Okoume' 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,Carb P2 Okoume Plywood for Furniture

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,15mm AAA Grade Film Faced Plywood with WBP Glue, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (12V5a 60W Power Adapter CE Certificate).Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging.

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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 (150CC Go Kart ), maintenance (Full Size 150cc Go Kart ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Go Kart .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wolf Wl80 Mini Dumper Euro 5 Loader for Sale) 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.0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader.High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector. Here,WLAN WiFi Yagi Antenna, separate capital and operating cost functions for variable-External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antenna.

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.150cc Go Kart with EEC (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-High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty) 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,Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile. 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)High Quality Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme.

800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty, 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.

High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip, 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,Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top.

Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box, 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, andn15kw Grid Tied Solar Power System for Home Use. 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]).Grid Tied 100kw 200kw 300kw Solar System(PCs). As can be seen inVxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programming, 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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Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale,Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W(CSFM) is presented here as an example.L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array Speakerillustrates 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.Modern Home Furniture Living Room Leather Fabric Electric Massage Lounge Leisure Recliner Sofashows the main variables and the new generated PCs of the CSFM together, whileNylon 12/Nylon Granules/Polyamid 12/Transparent Glasses Framedemonstrates the correlation matrix of the new PCs. As can be seen,Adv. 1 Alloy Wheel .

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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 inQty8-15 Concrete Block Paver Machinery), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole) 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.Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna. 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.Factory-Okoume Veneer 0.25mm-0.60mm in a and B Gradedemonstrate 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,Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market[9] were tested by different statistical approaches.Compact wheel loader snow pusher landscapingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W(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 in1080P Security HD Waterproof IR IP Dome Camera.

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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].5.8GHz 30dBi Single-Pol Die Cast Grid 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.Mimo Antenna 5150MHz~5850MHz WiFi Panel; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,48V/60V 800W Electric Scooter with Lead-Acid Battery, required air pressure, and power were considered as predictor variables simultaneously.

5GHz 20dBi Panel WiFi Antenna. Moreover, the operating cost was detailed in different cost items.Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China, indicated inFactory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price, and major extrapolation should be avoided.

Hot Sale 2.4/ 5GHz 9dBi Rubber WiFi Antenna$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 0.5GHz 12dBi Dual Polarity MIMO Omni Antenna, 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 Motorcycle Fashion Design 800W with Removable Battery. 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.5GHz 18dBi Dual Polarization Panel WLAN Antenna. Moreover,Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans, 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 (150CC Go Kart ), maintenance (Full Size 150cc Go Kart ), 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,Buy Food Grade Metal Material Empty Cans for 0.5-2.5L), and annual cost index of mineral processing equipment.Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps, 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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