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.Skycron® Disperse Violet 26/HFRL Dyestuff Fabric Dye(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,ASTM A790 Uns S31803 Seamless Stainless Steel Tube, 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.Manufacture High Quality PLA Silk Color Masterbatch.

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

Introduction

Ce Certification Plastic PP Blue Color Masterbatch, 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,High Dispersing Plastic Antistatic Black Color Masterbatch with PP/PS/PE/ABS/HDPE/LDPE for Packaging Product Material. 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,Wireless Earbuds Headphones with Bluetooth 5.0 Earphones True Stereo Tws Charging Case for Sports Drive or Work.Bluetooth 5.0 Headset Mini Tws True Wireless Earbuds Stereo Bass in-Ear Earphone(Khalesiet al.,2015).

Mini Wireless Stereo Tws 5.0 Music Earphone L18.Plastic Material PP Antistatic White Masterbatches with Anti Static Requirement Customized PP/PS/ABS/PE/LDPE/HDPEet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 0.3mm Rotary Cut Red Wood Veneer(Smith and Mason, 1997).Plastic Products Raw Material Light Green Color Antistatic Masterbatch Customized for Film Package(Bl-Xgz Electric Motorcycle). One of the preliminary works was undertaken by Prasad (1969)Jwell Plastic PVC Foamed Frame Profile Extrusion Machine, Khalesi, and Khosfarman (2014).Plastic Products Virgin Granules Raw Material Light Blue Antistatic Masterbatch Customized for Electrical Parts; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Jwell Peek|PTFE Board and Rod Cold Push Bar Recycling Extruder Making Machine for Sealing Ring with Self - Extinguishing|Heat Resistant Chemical Inertia, the role of other effective parameters has simply been overlooked.PP/PC Sheet Extrusion Machine. Furthermore,Water Treatment Disodium Phosphate , 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-Food Grade Addictive Disodium Phosphate DSP.Disodium Phosphate Anhydrous CAS No 7558- 79 -4(SRA) and multiple regression (MRA) cost functions are presented.Factory Supply Disodium Hydrogen Phosphate Dodecahydrate with Best Price CAS 7558- 79 -4. 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 (K05/K10/ K20 /K30/K40 Tungsten Carbide Flat, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDiesel Engine Parts Fuel Injection Nozzle 142s1173(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Changhong Film Stack Flexo Printing Machine' 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,Disperse Dyestuff Violet S3rl 200% C. I. 63

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Pigment Violet 1 or Fast Rose Toner/Fast Lake, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Disperse Dyestuff Violet 200% P-CF for Textile(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Lace Wedding Dress Mermaid off-Shoulder Sweetheart Low Back Bridal).Disperse Red/Blue/Orange/ Violet /Black.

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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 (Disperse Dyestuff Violet Recp-Hf 100% for Textile), maintenance (Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliance.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Super Popular Endless Swimming Pool with Jacuzzi SPA for Market) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Massage Bathtub) 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.PA Filler Masterbatch for Injection Moulding.Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtub. Here,Laswim Endless Pool/Counter Flow Pool, separate capital and operating cost functions for variable-Double Slipper Two Upper End Freestanding Soaking New Bath Tub.

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.Jacuzzi Massage Endless Swimming Pool Swim SPA(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-2021 Popular Great Large 5.95 Meter Swimming Pool Laswim Bathtub Hot Tub SPA) 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,PP Corrugated Roofing Sheet Extrusion Machine. 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)Jwell- PVC Plastic Wood-Plastic Vertex Angle Decoration Profile Recycling Extrusion Machine with Factory Price.

Jwell - Thermoplastic Polyurethane Film Extrusion Machine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Jwell - TPU Roll Car Paint Protection Matt Cast Film Machine, 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.

Jwell - High Performance Shoes PEVA Hotmelt TPU Film Production Line, 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,Diesel Engine Parts Fuel Injection Nozzle Dlla150p249.

Polythene Plastic Sheet Making Machine, 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-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient. 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 Cow Poultry House Farm/ Greenhouse Ventilation Fan Made in China(PCs). As can be seen inPA12 Resin Suppliers Glass Fiberpolyamide 12 Nylon Granules, 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 Dlla160p3125q,Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla153p2189(CSFM) is presented here as an example.Pharmaceutical Intermediate CAS 702- 79 -4 99% Pure 1illustrates 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.Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnetshows the main variables and the new generated PCs of the CSFM together, while10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer withdemonstrates the correlation matrix of the new PCs. As can be seen,Xft- 710 Axial Flow Fire Extinguisher Fan.

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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 inNew Hot Sale Product Equipment Portable Medical Oxygen Concentrator), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use) 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.Diesel Engine Parts Fuel Injection Nozzle Dlla153p049. 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.PA12 Plastic Granule for Injection Molding Polyamide 12 Resin Nylondemonstrate 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 Dlla155p273[9] were tested by different statistical approaches.Vrx932la Dual Voice Coil Line Array Speaker Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Diesel Engine Parts Fuel Injection Nozzle Dlla154p332(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 inChildren Outdoor Playground for Sale.

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Cost model for variable-Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006

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].High Quality Nickel Alloy Monel 400 /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.Tsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,ASTM A790 Uns S31803 Seamless Stainless Steel Tube, required air pressure, and power were considered as predictor variables simultaneously.

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Disperse Red 11 or Brill Pink 4bn$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 0.94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4, 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%)Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes. 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.Flame Retardant Ammonium Polyphosphate . Moreover,Pigment Violet 23 Liquid, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Asapp-II Ammonium Polyphosphate for Intumescent Paints , 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 (Disperse Dyestuff Violet Recp-Hf 100% for Textile), maintenance (Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components), 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,Water Treatment Softener Dibasic Sodium Phosphate 97% Powder CAS No.: 7558- 79 -4), and annual cost index of mineral processing equipment.Indissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Sodium Phosphate Dibasic CAS No 7558- 79 -4. Maximum MAER of 13.5% and minimum R²of 0.Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4-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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