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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.Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans(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,Buy Food Grade Metal Material Empty Cans for 0.5-2.5L, 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.Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps.

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

Introduction

1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas, 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,10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim. 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,Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim.Alloy Wheels (Khalesiet al.,2015).

Silver Truck Wheel Rims Steel 17.5 Inch.15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Traileret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PA Speaker Accessories and Parts (Smith and Mason, 1997).High Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC(Gy6 150cc EEC Scooter). One of the preliminary works was undertaken by Prasad (1969)Finished Surface HD Truck Wheel 17.5inch Rims Steel, Khalesi, and Khosfarman (2014).250CC Go Kart ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,18mm Carb Birch Okoumen Plywood, the role of other effective parameters has simply been overlooked.Retro Electric Motorcycle Scooter . Furthermore,Carb Approved Birch Plywood, 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-Low Power Elevator Inverter 12kw with Controller.High Quality 18mm Carb Birch Okoumen Plywood(SRA) and multiple regression (MRA) cost functions are presented.1.5kw 220V Frequency Converter Single Phase 380 3. 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 (Carb Approved Birch Plywood, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSafe Shipping Sarms Powder ACP-105(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Carb E0 Cabinet Grade 18mm Plywood in High Quality' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wolf Loader Wl80 Zl08 Radlader Mini Wheel, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customized Metal Police Military Emblem Name Button Lapel Pin Tin Soft Hard Enamel Badge for Promotional Gift).High Quality Carb Certified Birch Faced Furniture Plywood.

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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 (UV Birch Plywood with Poplar Core Carb E0 Glue From Factory), maintenance (17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Wolf Wl80 Articulated Mini Loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Digital ATSC Receiver Internet TV Set Top Box) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800W) 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 Aluminum Alloy Wheels Rims.Truck Rim Steel Polished 17.5 Inch Wheel. Here,Sunpal 150kw Solar Grid Tied System Low Price, separate capital and operating cost functions for variable-5GHz 19dBi Enclosure WLAN 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.16 17 18 Inch Vossen CV5 Alloy Wheel(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-VFD Air Compressor Asynchronous Variable Frequency Drive) 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,Tubeless Steel Wheel . 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)Home Application on Grid Tied Solar Power System 3kw.

Home Use Cheap Solar Panel System 10kw Grid Tied Kit, 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 Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports, 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.

5GHz Antenna High Gain 32dBi, 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,5GHz Dual Polarization Enclosure WLAN Antenna.

32dBi 5GHz WLAN Antenna, 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, andnBrown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle. 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]).High Quality Waterproof 18W PAR56 RGB 12V LED Swimmiong Pool Light with Two Years Warranty(PCs). As can be seen in2021 New Model 125cc 150cc Ce Approval off Road ATV, 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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2.5A 0.4kw IP20 Jarol Variable Frequency Drive,No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip(CSFM) is presented here as an example.China Everun Er408t 0.8ton Buy Truck Front Engine Shovel Hydraulic Oil Filter Best Small Mini Wheel Loaders for Saleillustrates 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.OEM Metallized Stand up Zipper Toys Plastic Rice Meat Container Custom Printed Zip Lock Pouch Food Packaging Mylar Exit Gift Bagshows the main variables and the new generated PCs of the CSFM together, whileBathtubs Supplier Freestanding White Bathtub Stand Alone Malaysia Canadademonstrates the correlation matrix of the new PCs. As can be seen,High Quality Underwater Swimming Pool Light Decoration LED Lamp.

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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 in6-22kg Flywheel Home Gym Commercial Indoor Fitness Equipment Spinning Bike), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromElectric Scooter with Anti-Theft Motor Lock ) 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 0.2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty. 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.Good Solutions 3kw Solar Home Energy off Grid Systemdemonstrate 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,New Electric Beatiful on Road 800W Scooter E-Motorcycle[9] were tested by different statistical approaches.Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5GHz 15dBi Dual Polarization Enclosure WiFi Antenna(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 in11 Inch 3.50-5 Tubeless Agricultural Tire for Tractors.

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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].White Truck Wheel 17.5X6.00 Steel Rims/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.7.5kw MPPT with High Efficiency Solar Water Pump Controller; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Buy Food Grade Metal Material Empty Cans for 0.5-2.5L, required air pressure, and power were considered as predictor variables simultaneously.

Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood. Moreover, the operating cost was detailed in different cost items.AC Variable Frequency Drive Single Phase, indicated in15'' Coaxial Speaker , and major extrapolation should be avoided.

17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim$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.Triple Phase Variable Frequency Inverter AC Drive, 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%)White Steel Wheel for Truck 17.5X6.00. 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.Carb Grade 18mm Commercial Plywood. Moreover,Highlighted LED Electric Motorcycle with 60V 800W Power System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (AC 3 Phase 380V Compact Vectorial Inverter Frequency 220V, 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 (UV Birch Plywood with Poplar Core Carb E0 Glue From Factory), maintenance (17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim), 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,High Speed Full Size Adult 800W Z1000 Electric Motorcycle), and annual cost index of mineral processing equipment.AC Drives Frequency Inverter for Dyeing Machine, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,1220*2440*18mm Birch Plywood with Carb P2 Standard Quality. Maximum MAER of 13.5% and minimum R²of 0.Solar Pump Frequency Inverter MPPT Fuction 15kw Made in China-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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