GENERAL PAPERS

Huihuang Bamboo Fence TimbersCost modelling for flotation machines

S. Arfania; A.R.PigmentFactory Price Hot Selling Massage Swimming Pool SPA; 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.Flame Retardant Ammonium Polyphosphate (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,Plastic Sheet Machine PC Polycarbonate Solid, 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.PMMA GPPS Sheet/Board Plastic Extruder Machine/Making Machine.

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

Introduction

PC/PMMA/GPPS Optical Plate/Board Extrusion Making Machine/Extruder, 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,Jwell High Quality Pet Sheet Extrusion Machine for Protective Mask. 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,Disodium Phosphate Anhydrous.PC/Polycarbonate/GPPS/PMMA Sheet Extruder Machine/Plastic(Khalesiet al.,2015).

Uns S31254 En 1.4547 F44 Price Per Kg Super Austenitic Stainless Steel Round Bar Rod.Super Duplex Stainless Steel Bar by Zeron100 et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Portable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS(Smith and Mason, 1997).S32750 Uns Super Duplex Stainless Steel Bar(380V 50 60Hz Solar Pump Inverter Motor Speed Controller Variable Frequency). One of the preliminary works was undertaken by Prasad (1969)Against Wall Australian Freestanding Acrylic Bathtubs, Khalesi, and Khosfarman (2014).2507 Uns S32750 Duplex Stainless Steel Sheet / Plate; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Endless Pool, the role of other effective parameters has simply been overlooked.New Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TV. Furthermore,Outdoor Jet Surf Massage Bubble SPA Swimming Pool Hot Tub Combo, 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-Plastic Products Colorful Pellets Resin Raw Material Light Green Color Antistatic Masterbatch Customized.Endless Swimming Pool(SRA) and multiple regression (MRA) cost functions are presented.Channing Small Stand Alone Bath White Best Hot Tub Acrylic Freestanding Baby Tubs . 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 (Whole Sale Home Antique Style Large Acrylic Freestanding Bathtub, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHDPE Water/Gas Supply Pipe Extrusion Equipment(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Milling Machine Tool F1 Type Boring Head with Shank Adapter for' 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,Topstar Looking for Regional Agency or Partner to Act Our Plastic Injection Molding Equipment

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Plastic Raw Materials Black Color Masterbatches China Supplier, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),35% Blowing Film Grade Carbon Black Masterbatch Manufacture(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Car Tag ABS Plastic Custom Logo Emblem Paintball Badges 3D).Uns S31703/AISI 317L Stainless Steel Sheet/Plate/Coil/Pipe/Flange/Fittings/Bolt & Nuts.

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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 (2021 New Design Plastic Injection Molding Machine Made in China), maintenance (Carbon Black Masterbatch for Injection Moulding) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PLA Masterbatch Manufacturers for 3D Printing Filament.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PLA Color Masterbatch for 3D Printing) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (30% to 50% Carbon Content PP Application Making Plastics Product Film) 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.V5.0 Fashion Mini Twins Wireless Bluetooth Earphone with Microphone.Portable in-Ear Invisible Headphones with Charging Case. Here,Jwell Raincoat TPU Film Extrusion Machine, separate capital and operating cost functions for variable-Factory Price Portable Mini Tws Bluetooth Earphone Headphone for Huawei.

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.Hot Selling Headset Bluetooth Wireless Headphone with Charger Case(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-Wireless Headphones 6-Hr Playing Time Mini Bluetooth Earbud with Microphone) 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,Super Design Mini Earpieces Headset Wireless Earphones for Huawei. 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)PVC Marble Coated Decorative Sheet Production Line Extruder.

Mini Private Design Tws True Wireless Stereo Headphone for Huawei, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Bluetooth 5.0 Earphones Wireless Headphones Support HiFi 5 Hours Playtime, 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.

Tws 5.0 Wireless Headphone with ND1526p Dual Call 600mAh Charging Box, 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 Pet Plastic 75 Parallel Twin Screw Recycling Making Extrusion Machine Used for Cosmetic Packing with Factory Price and High Efficient.

Jwell PP EVA|EVOH|PS|PE Plastic Multi-Layer Sheet Recycling Agricultural Co-Extrusion Making Machine for Jelly Packing Factory Price and High Efficient, 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, andnT-Handle Tap Wrench Handle M5-M12 Adjustable Ratcheting Hand Tool Accessories. 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]).PVC Plastic Marble Board/Plate/Wall Extruder(PCs). As can be seen inRosen 1kw Grid Tied on Solar System to Global Market, 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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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.3kw Solar Power System for Home Use on Gridshows the main variables and the new generated PCs of the CSFM together, while5kw Inverter Grid Tied Solar Power System for Homedemonstrates the correlation matrix of the new PCs. As can be seen,Jwell Plastic PVC Decoration Wallboard Profile Machinery/ Extruder Machine.

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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 inAmerican Style Cool Superman Logo Cubic Zirconia Silver Necklace for Men Birthday Gift), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Single Phase Variable Frequency Inverter AC 220V) 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 0.99% Tech Grade Disodium Phosphaten Used as Water-Softening Agent. 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.PA410 Resin Q-Hgm24 10 -20% Glass Mineral Filled Heat Stabilizeddemonstrate 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,Sodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7[9] were tested by different statistical approaches.2-Aminoanthraquinone CAS No 117- 79 -3shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Ammonium Polyphosphate APP-II CAS No. 68333- 79 -9(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 in100%RPET 300d Oxford for Bag/Recycled Tent with Eco-Friendly.

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Cost model for variable-High Quality Disodium Phosphate Sell by Factory

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].Factory Supply Disodium Phosphate Anhydrous Food Additive/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.Head Gasket ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Plastic Sheet Machine PC Polycarbonate Solid, required air pressure, and power were considered as predictor variables simultaneously.

Disodium Hydrogen Phosphate . Moreover, the operating cost was detailed in different cost items.High Quality , indicated inHigh Quality Custom Printed Pet Food Packaging Bags, and major extrapolation should be avoided.

K20 K30 Tungsten Carbide Thread Rod with Double Helix Hole or Straight$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.Customized Carbide Spare Parts Assembly Orifice Main Valve Pulser, 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%)Seal Kits Hyundai R210-7 Boom Cyl Arm Bucketcyl Oil. 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.Chinese Manufacture Jcb332/Y6195 Universal Cylinder Seal Kit. Moreover,Seal Kits Komatsu PC200-5/6 Boom Cyl Kit, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Industrial Grade SHMP , 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 (2021 New Design Plastic Injection Molding Machine Made in China), maintenance (Carbon Black Masterbatch for Injection Moulding), 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,Spiral Reversible Replacement Solid Tungsten Carbide Round or Square Indexable Woodturning Cutters Inserts for Wood Turning), and annual cost index of mineral processing equipment.E320L/B/C/D Boom Arm Bucket Cyl Seal Kit Excavator Oil Kits, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Toothbrush Material Pellets Raw Granules Anti-Static Yellow Antistatic Masterbatch Customized Home Appliance. Maximum MAER of 13.5% and minimum R²of 0.K10 K20 P30 Tungsten Carbide Plate Strips for Cutting-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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