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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation SystemCost modelling for flotation machines

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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.Super Duplex Stainless Steel Bar by Zeron100 (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,S32750 Uns Super Duplex Stainless Steel Bar, 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.Against Wall Australian Freestanding Acrylic Bathtubs.

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


Introduction

2507 Uns S32750 Duplex Stainless Steel Sheet / Plate, 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,Endless Pool. 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,New Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TV.Outdoor Jet Surf Massage Bubble SPA Swimming Pool Hot Tub Combo(Khalesiet al.,2015).

Plastic Products Colorful Pellets Resin Raw Material Light Green Color Antistatic Masterbatch Customized.Endless Swimming Poolet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Machine Tools 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling(Smith and Mason, 1997).Channing Small Stand Alone Bath White Best Hot Tub Acrylic Freestanding Baby Tubs (Tin Cans with Metal Cover for Paint or Chemical Packaging). One of the preliminary works was undertaken by Prasad (1969)Whole Sale Home Antique Style Large Acrylic Freestanding Bathtub, Khalesi, and Khosfarman (2014).Milling Machine Tool F1 Type Boring Head with Shank Adapter for; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Topstar Looking for Spain After Sales Service Office to Cooperate Our Plastic Injection Molding Machine and Auxiliary Equipment, the role of other effective parameters has simply been overlooked.Factory Price Fully Automatic Dustbin Injection Molding Machine. Furthermore,Jwell TPU Matt Cast Film Machine, 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-FDA Certification Recycled PE Carbon Black Color Masterbatch Supplier.Topstar Looking for Regional Agency or Partner to Act Our Plastic Injection Molding Equipment(SRA) and multiple regression (MRA) cost functions are presented.Plastic Raw Materials Black Color Masterbatches China Supplier. 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 (35% Blowing Film Grade Carbon Black Masterbatch Manufacture, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Uns S31703/AISI 317L Stainless Steel Sheet/Plate/Coil/Pipe/Flange/Fittings/Bolt & Nuts' 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,30% to 50% Carbon Content PP Application Making Plastics Product Film

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,V5.0 Fashion Mini Twins Wireless Bluetooth Earphone with Microphone, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Portable in-Ear Invisible Headphones with Charging Case(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (8 Inch WiFi Remote Sharing Cloud Storage Digital Picture Frame for Photos).Jwell Raincoat TPU Film Extrusion 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 (Factory Price Portable Mini Tws Bluetooth Earphone Headphone for Huawei), maintenance (Hot Selling Headset Bluetooth Wireless Headphone with Charger Case) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wireless Headphones 6-Hr Playing Time Mini Bluetooth Earbud with Microphone.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Super Design Mini Earpieces Headset Wireless Earphones for Huawei) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (PVC Marble Coated Decorative Sheet Production Line Extruder) 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.Mini Private Design Tws True Wireless Stereo Headphone for Huawei.Bluetooth 5.0 Earphones Wireless Headphones Support HiFi 5 Hours Playtime. Here,Tws 5.0 Wireless Headphone with ND1526p Dual Call 600mAh Charging Box, separate capital and operating cost functions for variable-Jwell Pet Plastic 75 Parallel Twin Screw Recycling Making Extrusion Machine Used for Cosmetic Packing with Factory Price and High Efficient.

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.Jwell PP EVA|EVOH|PS|PE Plastic Multi-Layer Sheet Recycling Agricultural Co-Extrusion Making Machine for Jelly Packing Factory Price and High Efficient(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-Handle Tap Wrench Handle M5-M12 Adjustable Ratcheting Hand Tool Accessories) 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,PVC Plastic Marble Board/Plate/Wall Extruder. 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)Food Additive Granular Dihydrate Disodium Phosphate.

Factory Supply Disodium Phosphate Food Grade, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (E320L/B/C/D Boom Cyl Seal Kit Excavator Oil Kits, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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 Plastic PVC Decoration Wallboard Profile Machinery/ Extruder Machine, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Disodium Phosphate Food Grade Manufacturer.

99% Tech Grade Disodium Phosphaten Used as Water-Softening Agent, 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).

whereCeis the estimated cost,Cathe actual cost, andnSodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7. 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]).Ammonium Polyphosphate APP-II CAS No. 68333- 79 -9(PCs). As can be seen in5kw Inverter Grid Tied Solar Power System for Home, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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.China Single Phase Variable Frequency Inverter AC 220Vshows the main variables and the new generated PCs of the CSFM together, whileLebekan Aluminum Materials High Power COB LED Flood Light Waterproof Lights 100W 200W 400W 600W 800Wdemonstrates the correlation matrix of the new PCs. As can be seen,Disodium Hydrogen Phosphate .

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inChina Manufacturer UPVC Plastic Sliding Door Tempered Glass with Latch Lock), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Speaker System Dual 10 Inch Three Way Line Array Audio V310) 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.K20 K30 Tungsten Carbide Thread Rod with Double Helix Hole or Straight. 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.High Quality Custom Printed Pet Food Packaging Bagsdemonstrate 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,Customized Carbide Spare Parts Assembly Orifice Main Valve Pulser[9] were tested by different statistical approaches.Sodium Phosphate Dibasic CAS No 7558- 79 -4shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Seal Kits Hyundai R210-7 Boom Cyl Arm Bucketcyl Oil(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 inWholesale Newborn Baby Clothing Gentleman Style Onesie Spring and Autumn Cotton Long- Sleeved Boys Rompers.

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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].Seal Kits Komatsu PC200-5/6 Boom Cyl Kit/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.Industrial Grade SHMP ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,S32750 Uns Super Duplex Stainless Steel Bar, required air pressure, and power were considered as predictor variables simultaneously.

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Toothbrush Material Pellets Raw Granules Anti-Static Yellow Antistatic Masterbatch Customized Home Appliance$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.K10 K20 P30 Tungsten Carbide Plate Strips for Cutting, 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%)Komastu PC60-6 Arm Cyl Oil Seal Kit. 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.Cat320b/C/D Arm Cyl Seal Kit Excavator Oil Kits. Moreover,Pigment Violet 1 Toner for Ink, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Solvent Violet 59 , 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 (Factory Price Portable Mini Tws Bluetooth Earphone Headphone for Huawei), maintenance (Hot Selling Headset Bluetooth Wireless Headphone with Charger Case), 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,Solvent Violet 13 for Plastic Application), and annual cost index of mineral processing equipment.Solvent Violet 11, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Solvent Violet G 49 for Plastic. Maximum MAER of 13.5% and minimum R2of 0.Manufacturer ASTM 316L Uns S32205 Duplex Stainless Steel Tubes-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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