GENERAL PAPERS

Sinopec Brand Chemical Fertilizer N21% with White ColorCost modelling for flotation machines

S. Arfania; A.R.Solvent Violet 10b 94kw 3phase Frequency Converter 50Hz to 60Hz; 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.Duplex Stainless Steel Sheet Super 2507(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 A789 S32750 Uns Super Duplex Stainless Steel Pipe, 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.Uns S32750 2507 S32760 F55 1.4501 Super Duplex Stainless Steel Bar.

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

Introduction

Skycron® Disperse Violet 26/HFRL Dyestuff Fabric Dye, 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,ASTM A790 Uns S31803 Seamless Stainless Steel Tube. 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,Manufacture High Quality PLA Silk Color Masterbatch.Ce Certification Plastic PP Blue Color Masterbatch(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Food Grade Addictive Disodium Phosphate DSP, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in910 Alicosolar 10kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Disodium Phosphate Anhydrous CAS No 7558- 79 -4' 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,Bt Sk Cat Straight Collet Power Multi-Lock Chuck Milling Holder Arbors

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Disperse Violet 26 Dyes, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Skyzon® Cationic Violet 3R/Cationic Dyes/Cloth Dye(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Capacity of 5400kgs Wire Rope Puller for Pulling Lifing and Releasing in Any Direction).Disperse Dyestuff Violet S3rl 200% C. I. 63.

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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 (Pigment Violet 1 or Fast Rose Toner/Fast Lake), maintenance (Disperse Dyestuff Violet 200% P-CF for Textile) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Disperse Red/Blue/Orange/ Violet /Black.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

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

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.Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding 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-Laswim Endless Pool/Counter Flow Pool) 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,Double Slipper Two Upper End Freestanding Soaking New Bath Tub. 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)Jacuzzi Massage Endless Swimming Pool Swim SPA.

2021 Popular Great Large 5.95 Meter Swimming Pool Laswim Bathtub Hot Tub SPA, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PP Corrugated Roofing Sheet Extrusion 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- PVC Plastic Wood-Plastic Vertex Angle Decoration Profile Recycling Extrusion Machine with Factory Price, 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,Jwell - Thermoplastic Polyurethane Film Extrusion Machine.

Jwell - TPU Roll Car Paint Protection Matt Cast Film 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 - High Performance Shoes PEVA Hotmelt TPU Film Production Line. 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]).Diesel Engine Parts Fuel Injection Nozzle Dlla150p249(PCs). As can be seen inEverun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loader, 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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Jwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient,High Quality Cow Poultry House Farm/ Greenhouse Ventilation Fan Made in China(CSFM) is presented here as an example.Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internetillustrates 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.Electricity Power Saver for Industry shows the main variables and the new generated PCs of the CSFM together, whilePortable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PAdemonstrates the correlation matrix of the new PCs. As can be seen,1HP/2HP/3HP/4HP/5HP Shrimp Pond Fish Farm Aerator Air Ring Blower.

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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 inManual Pulley Chain Block 1t*3m), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality Elasticity Competitve Nitrile X Ring) 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.Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla153p2189. 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 Electric Adult Motorcycle 70km/H Cheap Fast Coc Designdemonstrate 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,Xft- 710 Axial Flow Fire Extinguisher Fan[9] were tested by different statistical approaches.5.8g Rtl8821cu WiFi Bluetooth Video Audio Transmitter Module for Mini Projectorshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Diesel Engine Parts Fuel Injection Nozzle Dlla155p274(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 inBlue Pentagram Crystal Trophy Awards.

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Cost model for variable-Diesel Engine Parts Fuel Injection Nozzle Dlla153p049

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 Dlla155p273/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 Dlla154p332; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,ASTM A789 S32750 Uns Super Duplex Stainless Steel Pipe, required air pressure, and power were considered as predictor variables simultaneously.

Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006. Moreover, the operating cost was detailed in different cost items.High Quality Nickel Alloy Monel 400 , indicated inZl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End, and major extrapolation should be avoided.

Tsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4$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.Disperse Violet 63, 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 1/2R 100% Fabric Dye for Polyester. 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 Red 11 or Brill Pink 4bn. Moreover,94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes, 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 (Pigment Violet 1 or Fast Rose Toner/Fast Lake), maintenance (Disperse Dyestuff Violet 200% P-CF for Textile), 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,Flame Retardant Ammonium Polyphosphate ), and annual cost index of mineral processing equipment.Pigment Violet 23 Liquid, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Asapp-II Ammonium Polyphosphate for Intumescent Paints . Maximum MAER of 13.5% and minimum R²of 0.Water Treatment Softener Dibasic Sodium Phosphate 97% Powder CAS No.: 7558- 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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