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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.Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT(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,Hot selling compact 800kgs wheel loader for garden, 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.High Efficiency 6kw Grid Tied Solar Power System for Home.

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

Introduction

China Safe Automatic CVT 150cc Go Kart Motor with Reverse, 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,3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive. 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,Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter.Carb P2 Plywood/EPA Plywood /Okoume(Khalesiet al.,2015).

Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China.Variable Speed Drive Phree Phase Frequency Converter 1000Hzet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for American Standard Oval Freestanding Thick Rim Bath Tub Made in China(Smith and Mason, 1997).Best Quality Acrylic/PVC/Poly /PU Paper Laminated Plywood MDF From Factory(Professional Active Powered Line Array Speaker Mini 5 Inch Audio). One of the preliminary works was undertaken by Prasad (1969)3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive, Khalesi, and Khosfarman (2014).Carb P2 Okoume Plywood for Furniture; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,15mm AAA Grade Film Faced Plywood with WBP Glue, the role of other effective parameters has simply been overlooked.China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality. Furthermore,Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging, 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-150CC Go Kart .Full Size 150cc Go Kart (SRA) and multiple regression (MRA) cost functions are presented.Go Kart . 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 (Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Wholesales Wheel Loader HR912 with Pallet Forks(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Wolf Wl80 Mini Dumper Euro 5 Loader for Sale' 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,150cc Go Kart with EEC

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Agarbatti Bamboo Incense Stick).High Quality Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme.

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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 (800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle ), maintenance (2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box) 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.15kw Grid Tied Solar Power System for Home Use.Grid Tied 100kw 200kw 300kw Solar System. Here,Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels, separate capital and operating cost functions for variable-Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale.

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.Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W(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-Adv. 1 Alloy Wheel ) 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,150cc 4-Stroke. 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)Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna.

Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W, 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.

New Design 800W 1000W Electric Scooter Motorcycle for Riding, 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,5.8GHz 30dBi Single-Pol Die Cast Grid Antenna.

Mimo Antenna 5150MHz~5850MHz WiFi Panel, 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, andn5GHz 20dBi Panel WiFi Antenna. 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]).Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China(PCs). As can be seen in5GHz 18dBi Dual Polarized Panel Antenna , 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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5GHz 12dBi Dual Polarity MIMO Omni Antenna,Electric Motorcycle Fashion Design 800W with Removable Battery(CSFM) is presented here as an example.Finished Surface HD Truck Wheel 17.5inch Rims Steelillustrates 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.Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Useshows the main variables and the new generated PCs of the CSFM together, whileLocal Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2demonstrates the correlation matrix of the new PCs. As can be seen,5GHz 18dBi Dual Polarization Panel WLAN Antenna.

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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 in3#Invisible Zipper Nylon for Sewing Garment Accessories DIY), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from2021 New Arrival China Supplying Internet TV Set Top Box Smart 4K HD 4GB Android 9 Amlogic S922X) 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.Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans. 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.Fast Delivery 1demonstrate 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,Buy Food Grade Metal Material Empty Cans for 0.5-2.5L[9] were tested by different statistical approaches.PA Speaker Parts&Accessories Back Plate Speakon Nl4 shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps(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 inProducer LED Hardscape Light.

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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].10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim/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.Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot selling compact 800kgs wheel loader for garden, required air pressure, and power were considered as predictor variables simultaneously.

Alloy Wheels . Moreover, the operating cost was detailed in different cost items.Silver Truck Wheel Rims Steel 17.5 Inch, indicated in3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules, and major extrapolation should be avoided.

15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer$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.High Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC, 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%)Finished Surface HD Truck Wheel 17.5inch Rims Steel. 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.250CC Go Kart . Moreover,18mm Carb Birch Okoumen Plywood, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Retro Electric Motorcycle 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 (800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle ), maintenance (2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty), 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,Carb Approved Birch Plywood), and annual cost index of mineral processing equipment.Low Power Elevator Inverter 12kw with Controller, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,High Quality 18mm Carb Birch Okoumen Plywood. Maximum MAER of 13.5% and minimum R²of 0.1.5kw 220V Frequency Converter Single Phase 380 3-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

1L Aluminum Tin Can for Food Packaging Plastic Raw Materials Black Color Masterbatches China SupplierCorresponding author