GENERAL PAPERS

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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.Manufacturer ASTM 316L Uns S32205 Duplex Stainless Steel Tubes(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,Solvent Violet 10b 9, 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.Duplex Stainless Steel Sheet Super 2507.

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

Introduction

ASTM A789 S32750 Uns Super Duplex Stainless Steel Pipe, 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,Uns S32750 2507 S32760 F55 1.4501 Super Duplex Stainless Steel Bar. 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,Skycron® Disperse Violet 26/HFRL Dyestuff Fabric Dye.ASTM A790 Uns S31803 Seamless Stainless Steel Tube(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (PP/PC Sheet Extrusion Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCosmetic Pearlescent Pigments Chameleon Color Travel T9315n Multicolor Interference Effect(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Water Treatment Disodium Phosphate ' 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,Changhong Film Stack Flexo Printing Machine

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Xft- 710 Axial Flow Fire Smoke Fan, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Bt Sk Cat Straight Collet Power Multi-Lock Chuck Milling Holder Arbors(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Good Quality Manufacture Freestanding Bathtubs for Sale).Disperse Violet 26 Dyes.

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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 (Skyzon® Cationic Violet 3R/Cationic Dyes/Cloth Dye), maintenance (Disperse Dyestuff Violet S3rl 200% C. I. 63) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Pigment Violet 1 or Fast Rose Toner/Fast Lake.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Disperse Dyestuff Violet 200% P-CF for Textile) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Disperse Red/Blue/Orange/ Violet /Black) 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.Disperse Dyestuff Violet Recp-Hf 100% for Textile.Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components. Here,Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliance, separate capital and operating cost functions for variable-Super Popular Endless Swimming Pool with Jacuzzi SPA for Market.

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.Massage Bathtub(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-PA Filler Masterbatch for Injection Moulding) 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,Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtub. 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)Laswim Endless Pool/Counter Flow Pool.

Double Slipper Two Upper End Freestanding Soaking New Bath Tub, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Jacuzzi Massage Endless Swimming Pool Swim SPA, 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.

2021 Popular Great Large 5.95 Meter Swimming Pool Laswim Bathtub Hot Tub SPA, 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,PP Corrugated Roofing Sheet Extrusion Machine.

Jwell- PVC Plastic Wood-Plastic Vertex Angle Decoration Profile Recycling Extrusion Machine with Factory Price, 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, andnJwell - Thermoplastic Polyurethane Film Extrusion Machine. 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]).Jwell - TPU Roll Car Paint Protection Matt Cast Film Machine(PCs). As can be seen inVelaslim Health Beauty Velashape Vacuum RF Cavitation LPG Body Slimming Equipments for, 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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Diesel Engine Parts Fuel Injection Nozzle Dlla150p249,Polythene Plastic Sheet Making Machine(CSFM) is presented here as an example.48V/60V 800W Electric Scooter with Lead-Acid Batteryillustrates 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.Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internetshows the main variables and the new generated PCs of the CSFM together, whileElectricity Power Saver for Industry demonstrates the correlation matrix of the new PCs. As can be seen,Jwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient.

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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 Eye Sling Hook with Cast Latch/ Hook/Eye), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromOrange Color Masterbatch) 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 0.1HP/2HP/3HP/4HP/5HP Shrimp Pond Fish Farm Aerator Air Ring Blower. 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.5GHz 15dBi Dual Polarization Enclosure WiFi Antennademonstrate 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,Diesel Engine Parts Fuel Injection Nozzle Dlla160p3125q[9] were tested by different statistical approaches.Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Designshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla153p2189(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 inManufacture 80ton High Precision Stamping Press Machine.

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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].Diesel Engine Parts Fuel Injection Nozzle Dlla155p274/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.Diesel Engine Parts Fuel Injection Nozzle Dlla153p049; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Solvent Violet 10b 9, required air pressure, and power were considered as predictor variables simultaneously.

Diesel Engine Parts Fuel Injection Nozzle Dlla155p273. Moreover, the operating cost was detailed in different cost items.Diesel Engine Parts Fuel Injection Nozzle Dlla154p332, indicated inWater Bottles Wrapping Machines Semi Automatic Film Shrink Machine, and major extrapolation should be avoided.

Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006$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 Quality Nickel Alloy Monel 400 , 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%)Tsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4. 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.Disperse Violet 63. Moreover,Skycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Disperse Red 11 or Brill Pink 4bn, 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 (Skyzon® Cationic Violet 3R/Cationic Dyes/Cloth Dye), maintenance (Disperse Dyestuff Violet S3rl 200% C. I. 63), 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,94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4), and annual cost index of mineral processing equipment.Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Flame Retardant Ammonium Polyphosphate . Maximum MAER of 13.5% and minimum R²of 0.Pigment Violet 23 Liquid-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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