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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

High Quality Motorcycle Parts Cam Cost modelling for flotation machines

S. Arfania; A.R.Indissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9CCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Devices; 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.Sodium Phosphate Dibasic CAS No 7558- 79 -4(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,Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4, 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.Boring Machine Tools Micro Head F1type CNC Heads Set.

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


Introduction

Straight Shank Collets C16 C20 C25 C32 Collet Chuck for Power Milling, 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 Precision Milling Bt30 Tool Holder Collet Chuck for Lathe Machine. 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,94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4.Supply Ammonium Polyphosphate APP (Khalesiet al.,2015).

Sdc Shrink Collet Chuck Toolholders for CNC Machine Part.Nickel Based Alloy W. Nr 2.4819 Hastelloy C276 Uns N10276 High Temperature Steel Round Flat Baret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Ethyl 2-Bromovalerate Liquid CAS 615-83-8(Smith and Mason, 1997).UNS NO2200 Nickel Plate(Diesel Engine Parts Fuel Injection Nozzle Dlla140s64f). One of the preliminary works was undertaken by Prasad (1969)Machine Tools 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling, Khalesi, and Khosfarman (2014).Diesel Engine Parts Fuel Injection Nozzle Dlla148p591; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling, the role of other effective parameters has simply been overlooked.Diesel Fuel Injection Nozzle Dlla160pn141. Furthermore,Perkins Genuine Oil Filter Head CH11579 Fits CH10929 for Engines Generating Sets Parts, 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-Diesel Engine Parts Fuel System SD265 Nozzle.Bathtubs Supplier Freestanding White Bathtub Stand Alone Malaysia Canada(SRA) and multiple regression (MRA) cost functions are presented.Vat Violet 13. 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 (Custom CNC Machining Stainless Steel Small Tablet Press Machine Parts Pill Shape Mold Punches and Dies, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBest Quality Skin Care Pure Tretinoin 302- 79 -4(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Solvent Violet 9 ' 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,Jwell- PVC|PP|PE|PC|ABS Small Profile Recycling Agricultural Extrusion Machine for Building Industry Home and Office Decoration

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,HDPE Plastic Geomembrane Sheet Making Extrusion Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Jwell- PP PS Plastic Environmental Protection Sheet Recycling Making Extrusion Cup Machine Production for Green Food Container and Packaging Good Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Galvanized Metal Roofing Sheet /Galvanized Corrugated Tile Steel Plate Price).Uns No6600 Inconel600 Steel Plate.

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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 (Alloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276.), maintenance (Alloy Inconel 625 Nickel Strip ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Diesel Engine Parts Fuel Injection Nozzle 148pn306.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Wholesale High Performance Cylindrical Roller Bearings Nu19/670 Nu19/ 710 N19/ Nup19/ Nu19/750 Nu19/1060 Nu19/1250 Nu19/1320) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Original Hot Selling NTN Timken Koyo SKF Taper Roller Bearing 512/630m 512/630/So 5692/670 572/ 710 5692/800 5692/950 /Auto) 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.Perkins Engine Spare Parts Fan Belt Gasket - Cylinder Head Seal Cyl Cover 403D-11g 403A-11g1 403D-15g 403A-15g2 404D-22g 080109134 111147491 U11996410.Zys Rolling Mill Bearing Four Row Taper Roller Bearings 3810/ 710. Here,Virgin PA12 Resin GF20 GF30 Pellets, separate capital and operating cost functions for variable-PA410 Resin Q-Hgm24 10 -20% Glass Mineral Filled Heat Stabilized.

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.Pharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8(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-Trimethyl Cis) 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,Fast Delivery High Purity Benzaldehyde 100-52-7. 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)Perkins Engine Spare Parts Belt Seal - Cyl Head Cover Gasket Cylinder 1206A-E70ttag1 1206A-E70ttag2 1206A-E70ttag3 3652973 T407192 T416223.

Swimming SPA Pool Hot Tub Combo, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Zhejiang Province Acrylic Standing Alone Bathtubs, 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.

Rofessional 21 Speed Mountain Bicycle 26 Inch New MTB, 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,Perkins Genuine Cyl Head Assy .

Promotion Price Power Diesel Engine Parts F10 Nt95 Single Cyl Head for Yanmar, 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, andnChinese Heavy Truck Diesel Engine Pump Cylinder 161500137712. 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]).Genuine Perkins Diesel Engine Spare Parts T414546 Original Cylinder Head Assembly(PCs). As can be seen inRosen 35kw 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 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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Jwell PE 8000mm Width Geomembrane/Waterproof Membrance Roll  Sheet Extrusion Line Making Machine,Perkins Genuine Cyl Cylinder Head Cover Assy 4142X402 for Industrial Diesel Engines(CSFM) is presented here as an example.Mc4 Connector Combiner Box with 600V MCB for off Grid Solar Systemillustrates 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.Lady Scooter Motorcycle 2.5 16 Tire Custom Bikeshows the main variables and the new generated PCs of the CSFM together, whileThermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer Bagdemonstrates the correlation matrix of the new PCs. As can be seen,Cosmetic Pearlescent Pigments Chameleon Color Travel T9755n Multicolor Interference Effect.

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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 in12V5a 60W LED Power Supply CE GS UL Certificate), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromZhenhua Classic Motorcycle Dax 125cc Euro4) 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.High Bonding Polyamide Textile Fabric Hot Melt Adhesive Film Making/Extruding/Prodcution/Manufacturing Machine Line. 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.PA Audio Church Theater Three-Way Large Touring Line Array Speaker Sound Systemdemonstrate 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,Cosmetic Pearlescent Pigments Chameleon Color Travel T9315n Multicolor Interference Effect[9] were tested by different statistical approaches.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chipshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Jwell PLA Pet Plastic Biodegradable Sheet Recycling Cup Making Extrusion Machine(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 inOEM/ODM Accept Popular Perfumes with Good Price.

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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].Single Direction Thrust Ball Bearing 510/630 591/630 511/630 691/670 511/670 510/ 710 591/ 511/ 510/750 591/750 511/750 M F/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.Cosmetic Pearlescent Pigments Chameleon Color Travel T8207n Multicolor Metal Effect Gold Green Blue; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4, required air pressure, and power were considered as predictor variables simultaneously.

Powerful Cheap Mountain Bike Bicycle. Moreover, the operating cost was detailed in different cost items.Cylindrical Roller Bearing N19/ 710 Nu19/ Nup19/ Apply for Large and Medium-Sized Electric Motor, indicated inNew Model Solar Home System 3kwh with LiFePO4 Battery, and major extrapolation should be avoided.

Polyamide Resin Hot Melt Adhesive$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.Polyamide Resin, 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%)Co-Soluble Polyamide Resin with Top Quality. 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.Alcohol Polyamide Resin for Printing Ink. Moreover,Popular Alcohol Soluble Polyamide Resin for Gravure Ink, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Polyamide Resin with Benzene Soluble for Printing Inks, 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 (Alloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276.), maintenance (Alloy Inconel 625 Nickel Strip ), 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,Alcohol Soluble Polyamide Resin for Printing Ink), and annual cost index of mineral processing equipment.Supply Rosin Modified Polyamide Resin for Paint, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Farwell P-Hydroxy Benzaldehyde with High Purity 99.5%. Maximum MAER of 13.5% and minimum R2of 0.High Quality Benzaldehyde with Fast Delivery-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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