GENERAL PAPERS

Brand New Loader Mini Garden Farm Zl08 WheelCost modelling for flotation machines

S. Arfania; A.R.Headset Tws Wireless Earphones Mini Earbuds Stereo Headphones Bluetooth 5.0Electric Scooter 800W 60V20ah Lead Acid; 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.Bluetooth V5.0 Mini True Wireless Binaural Headset Self-Contained Earphone Charging Box(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,L18 Tws Bluetooth V5.0 Stereo Music Earbuds Headset, 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.Mini L18 Tws V5.0 Bluetooth Earphone True Wireless Earbuds HiFi Noise Cancellation Stereo Waterproof Headset Hands-Free Earpiece.

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

Introduction

L18 Wireless Bluetooth 5.0 Tws Stereo Earphone with Charging Box, 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,Double End Single Side Acrylic Freestanding Tub. 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,Cheap Plastic Raw Material Granules Black Masterbatch.Portable On-Site Pipe Tube Chamfering Chamfer Machine(Khalesiet al.,2015).

American Standard Oval Freestanding Thick Rim Bath Tub Made in China.Grey Masterbatch for Plastic Chairet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Factory Supply Ethyl Valerate CAS 539-82-2(Smith and Mason, 1997).Plastic Raw Materials Black Masterbatch for PP PE Plastics(Jwell- PVC|PP|PE|PC|ABS Small Profile Recycling Agricultural Extrusion Machine for Building Industry Home and Office Decoration). One of the preliminary works was undertaken by Prasad (1969)LDPE Plastic Pellet 30% Black Pigment Color Masterbatch, Khalesi, and Khosfarman (2014).Hot Melt Adhesive Film & TPU Making Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Bathroom Acrylic Alone Common Bathtub with Two Side Apron , the role of other effective parameters has simply been overlooked.Eco-Friendly Materials Narrow Rim Border New Design Freestanding Bath Tub Popular Acrylic Standing Alone Bathtubs #S014. Furthermore,Stand Alone Tub Small Oval 55 Inch Free Standing Acrylic Bathtub, 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-Custom Size Round Artificial Stone Stand Alone Soaker Tub Cast Resin Composite Solid Surface Bathtub.Disodium Phosphate Anhydrous as Emulsifier in Food Industry(SRA) and multiple regression (MRA) cost functions are presented.Air Drive Multiple Capable Loose Tubes Pipes Beveling Machine. 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 (ISY SDC TCM ID Mounted Pipe Beveling Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDiesel Engine Parts Fuel Injection Nozzle Dlla148p591(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Diesel Engine Parts Fuel Injection Nozzle 156sm420' 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,Diesel Engine Parts Fuel Injection Nozzle 142s1173

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

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Scarlet/ Violet / Purple/ Golden/Green Color Paste(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Breathable soft touch absorption diapers).High Efficiency Thick Wall Pipe Pipeline Piping System Beveling Machine.

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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 (Industry Grade Ammonium Polyphosphate), maintenance (Light Duty Hand Held Boiler Pipe Tube Cutter Beveller) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Scarlet/ Violet / Purple/ Golden/Green Pigment Paste.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory Direct Air Compressor Filter 1931685 P951919 Af4247 C301730 P812363) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Embossed PC Solid Sheet Extruder Machine Making Extrusion Line) 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.Anti-Scratch PC Polycarbonate Impact Solid Sheet Extrusion Machine.Scarlet/ Violet / Purple/ Golden/Green Pigment Paste. Here,Diesel Engine Parts Fuel Injection Nozzle 132s1320, separate capital and operating cost functions for variable-Scarlet/ Violet / Purple/ Golden/Green Pigment Paste for Printing and Dyeing.

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.Electrical Pipe Tube Cold Working Processing Machine(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-T-Type Electric Beveling Machine ) 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,3293 Fast Rose Lake B Pigment . 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)O2 Oxygen Sensor for Honda Accord 2.3L 4 Cyl F23A4 2000-2002 234-9014.

6 Cyl Head and Rotor , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Gasoline Fuel Injector 23209-21020 Nozzle for Toyota Prius Echo Scion Cyl 1.5L 1nz, 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.

Pigment, 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,Flame Retardant Ammonium Polyphosphate .

Plastic Sheet Machine PC Polycarbonate Solid, 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, andnPMMA GPPS Sheet/Board Plastic Extruder Machine/Making 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]).PC/PMMA/GPPS Optical Plate/Board Extrusion Making Machine/Extruder(PCs). As can be seen inHighlighted LED Electric Motorcycle with 60V 800W Power System, 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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Disodium Phosphate Anhydrous,PC/Polycarbonate/GPPS/PMMA Sheet Extruder Machine/Plastic(CSFM) is presented here as an example.Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powderillustrates 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.CATV Indoor Amplifier 8200shows the main variables and the new generated PCs of the CSFM together, whileProfessional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker demonstrates the correlation matrix of the new PCs. As can be seen,Uns S31254 En 1.4547 F44 Price Per Kg Super Austenitic Stainless Steel Round Bar Rod.

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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 in2.4G R/C 4channel 6-Asix UFO Aircraft with Gyro), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromWholesale Price Professional PA PRO Audio Sound System Loudspeaker) 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.S32750 Uns Super Duplex Stainless Steel Bar. 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.Custom 1g 3.5 G 7g Runtz Mylar Bags/ Weed Bag/Wholesale Cookies Food Packaging Bag Smell Proofdemonstrate 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,Against Wall Australian Freestanding Acrylic Bathtubs[9] were tested by different statistical approaches.Eougem Zl08 0.8 Ton Mini/Small Articulated Hydraulic Mini Front End Loadershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2507 Uns S32750 Duplex Stainless Steel Sheet / Plate(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 inin Stock High-Quality Flat 58 Inch 4K Smart TV.

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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].New Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TV/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.Outdoor Jet Surf Massage Bubble SPA Swimming Pool Hot Tub Combo; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,L18 Tws Bluetooth V5.0 Stereo Music Earbuds Headset, required air pressure, and power were considered as predictor variables simultaneously.

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Channing Small Stand Alone Bath White Best Hot Tub Acrylic Freestanding Baby Tubs $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.Whole Sale Home Antique Style Large Acrylic Freestanding Bathtub, 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%)Milling Machine Tool F1 Type Boring Head with Shank Adapter for. 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.Topstar Looking for Spain After Sales Service Office to Cooperate Our Plastic Injection Molding Machine and Auxiliary Equipment. Moreover,Factory Price Fully Automatic Dustbin Injection Molding Machine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Jwell TPU Matt Cast Film Machine, 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 (Industry Grade Ammonium Polyphosphate), maintenance (Light Duty Hand Held Boiler Pipe Tube Cutter Beveller), 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,FDA Certification Recycled PE Carbon Black Color Masterbatch Supplier), and annual cost index of mineral processing equipment.Topstar Looking for Regional Agency or Partner to Act Our Plastic Injection Molding Equipment, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Plastic Raw Materials Black Color Masterbatches China Supplier. Maximum MAER of 13.5% and minimum R²of 0.35% Blowing Film Grade Carbon Black Masterbatch Manufacture-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Sodium Phosphate Dibasic CAS No 7558- 79 -4Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White PowderCorresponding author