GENERAL PAPERS

Digital Display Hygienic Pressure Indicator TransmitterCost modelling for flotation machines

S. Arfania; A.R.Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System50cc Monkey Bike Gasoline Motorcycle Euro4 Efi; 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.500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV(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,10kw Cheap Solar Panels Complete Grid Tied System, 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 Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle.

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

Introduction

Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack, 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,1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System. 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,Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power.72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Metal Packing Chemical Round Tin Can, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPneumatic Pipe Beveling Machine High Performence(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1 Liter Cans for Curing Agent' 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,50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Tricycle with Wagon 3 Wheel Motorcycle Box(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Stoneware Double Glazed Coffee Mugs).High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips.

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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 (Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing), maintenance (Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (20watt Mopa Laser Marking Machine for Anodized Aluminum Black) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips) 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.No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty.2021 New E Bike Best Mini Electric for Adults. Here,Power Saver Device , separate capital and operating cost functions for variable-1liter Empty Paint Tin Can with Lids Factory.

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.No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports(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-60V800W Electric Scooter with Highlight Rear Box) 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,Empty Canister White Metal Round Packaging Cans Box Tea Tins. 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)2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle.

No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip, 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 X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internet, 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.

Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped, 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,Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery.

20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery, 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, andnElectricity Power Saver for Industry . 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]).Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike(PCs). As can be seen inHot-Sale Sporty Electric Motorcycle Mn5, 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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Enclosed Covered Tricycle with Wagon,Color Marking 20W Fiber Laser Machine Price for Metal(CSFM) is presented here as an example.5GHz 30dBi Grid Parabolic Antenna illustrates 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.Er08 Farm Mini Loader with Standard Bucket for Saleshows the main variables and the new generated PCs of the CSFM together, whileEmtpy 250L Round Clutch Brake Fluid Small Can with Plastic Liddemonstrates the correlation matrix of the new PCs. As can be seen,Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle.

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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 inG80 Forged Steel Eye Sling Hook with Latch), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Famous Brand Hr912 Shovel Loader for Agriculture Working) 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.High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle . 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.Professional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power Supplydemonstrate 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,Mountain Using Motorcycle with Strong Steel Tube Frame[9] were tested by different statistical approaches.Cone Top 1 Liter Glue Usage Tin Canshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10W 20W 30W portable Fiber Laser Marking Machine(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 inBubble Padded Envelope/Printing Cardboard Envelopes/Customized Print Envelope.

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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].CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz/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.CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,10kw Cheap Solar Panels Complete Grid Tied System, required air pressure, and power were considered as predictor variables simultaneously.

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20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel$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.Mopa Fiber Laser Marking Machine for Black Printing, 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%)20W Table Fiber Laser Marking Machine for Metal Stainless 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.Portable Handheld Metal Plastic DOT Peen Marking Machine. Moreover,5150-5850MHz Sector Panel Antenna with Gain 13dBi, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dirt Bike for Sport Using with Large Power Engine, 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 (Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing), maintenance (Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale), 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,Electricity Saver Device ), and annual cost index of mineral processing equipment.3 Phase 50 - 60Hz Intelligent Power Saver, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,High Efficient Industrial Electric Motor Power Saver. Maximum MAER of 13.5% and minimum R²of 0.EEC 125/300cc Euro 5V Max Scooter-Alex One-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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