GENERAL PAPERS

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S. Arfania; A.R.0-20dB 75 Ohm CATV Variable Adjustable Attenuator EqualizerLong Using Life Shuttering Plywood with Logo for Construction; 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.860MHz CATV One Way Amplifiers(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,CATV Mini Line Extending 2-Way Amplifer, 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 0.20MHz Probe Ophthalmology Ultrasound MD-2300S.

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

Introduction

860MHz Two Way Amplifier , 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,Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle. 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,Ophthalmic a Scan Portable Handheld Biometer.Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life(Khalesiet al.,2015).

Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System.500W Air-Cooled Wide Band UHF Digital TV Transmitter DTVet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Frequency Power Supply China Variable Speed Drive Voltage Converter AC Motor(Smith and Mason, 1997).10kw Cheap Solar Panels Complete Grid Tied System(180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820). One of the preliminary works was undertaken by Prasad (1969)High Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle, Khalesi, and Khosfarman (2014).Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, the role of other effective parameters has simply been overlooked.Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power. Furthermore,72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger, 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-China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai.Everun Er08 CE Wheel Loader with Standard Bucket for Sale(SRA) and multiple regression (MRA) cost functions are presented.China Cpm Zl08 Mini Wheel Loaders with Price List for Sale. 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 (Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in860MHz Two Way Amplifier (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Loader' 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,Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,0.8 Ton Garden Samll Loader 800kg Mini Front End 8 7 6 5 4 3.5 3 2.5 2 1.5 1 Wheel, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Metal Packing Chemical Round Tin Can(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Thailand Axle/Semi Trailer Axle/High Quality Axle).1 Liter Cans for Curing Agent.

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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 (Cone Top 1 Liter Glue Usage Tin Can), maintenance (High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover) 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.200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle.Tricycle with Wagon 3 Wheel Motorcycle Box. Here,High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips, separate capital and operating cost functions for variable-Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing.

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.Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale(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-Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater 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,20watt Mopa Laser Marking Machine for Anodized Aluminum Black. 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)Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips.

No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2021 New E Bike Best Mini Electric for Adults, 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.

Power Saver Device , 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,1liter Empty Paint Tin Can with Lids Factory.

No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports, 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, andn60V800W Electric Scooter with Highlight Rear Box. 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]).Empty Canister White Metal Round Packaging Cans Box Tea Tins(PCs). As can be seen in50cc Monkey Bike Gasoline Motorcycle Euro4 Efi, 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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No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip,Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internet(CSFM) is presented here as an example.Pneumatic Pipe Beveling Machine High Performenceillustrates 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.Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HDshows the main variables and the new generated PCs of the CSFM together, whileHot-Sale Sporty Electric Motorcycle Mn5demonstrates the correlation matrix of the new PCs. As can be seen,Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped.

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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 inColorful Pet Soft Collar Pup Dog), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromEr08 Farm Mini Loader with Standard Bucket for Sale) 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 0.20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery. 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.China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers demonstrate 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,Electricity Power Saver for Industry [9] were tested by different statistical approaches.Natural Wood Bintangor Face Veneer for Door and Furnitureshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike(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 inShoulder Bag.

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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].Enclosed Covered Tricycle with Wagon/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.Color Marking 20W Fiber Laser Machine Price for Metal; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,CATV Mini Line Extending 2-Way Amplifer, 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.CATV 860MHz One Way Amplifier. Moreover,CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties, 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 (Cone Top 1 Liter Glue Usage Tin Can), maintenance (High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket), 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 Efficiency SIM Card Fiber Laser Marking Machine), and annual cost index of mineral processing equipment.2021 New Machine Grade CO2 Laser Marking with a Discount, 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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