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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

Food Grade 3 Liter Square Olive Oil Tin Can with Handle and CapCost 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.Fractional RF & Thermal Beauty Machine(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,Vxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programming, 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.Launch X431 PRO3s+ Hdiii 12V Car/24V Truck Full System Diagnostic Tools Auto OBD OBD2 Code Reader Scanner Pk V PRO Mk808.

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


Introduction

Hot Selling Tires Motorcycle Tyres 110/90- 17, 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,Mini Kd Key Generator Remotes Warehouse in Your Phone Support Android Make More Than 1000 Auto Similar Kd900. 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,Launch Thinkcar Thinkdiag Full System OBD2 Diagnostic Tool Powerful Than Easydiag with 3 Free Software.90/90-21 China Super Cheap Motorcycle Tire/Tyre(Khalesiet al.,2015).

110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Market.Water Bottles Wrapping Machines Semi Automatic Film Shrink Machineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2021 Android TV Box H96 WiFi Set Internet(Smith and Mason, 1997).Gy6 -80 Motorcycle Parts Starting Motor Gear(Color Custom Diesel Engine with Four-Stroke for Gensets). One of the preliminary works was undertaken by Prasad (1969)Full Automatic Liquid Pure Mineral Drinking Soda Water Bottle Labeling Packing Equipment, Khalesi, and Khosfarman (2014).2021 Hot Sale Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Linear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging Machine, the role of other effective parameters has simply been overlooked.Fully Automatic Shrink Wrapping Packing Machine. Furthermore,No Flicker Glare Cost-Effective Products12V 18W LED Swimming Pool Light with Two Years Warranty, 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-Newest 250cc Farm UTV 200cc Go Kart Buggy with Ce.No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Edison Chip(SRA) and multiple regression (MRA) cost functions are presented.Motorcycle Stator Coil/Magneto/Bobina Del Estator/Moto Partes/Repuestos Gy6 8coils. 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 (No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Two Years Warranty, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPS10 Professional Sound System 10inch Audio Speaker Box(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Gy6 /Jog Motorcycle Regulator/Rectifier Parts' 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,20MHz Medical Crf Machine Deep Wrinkle Removal Beauty Instrument

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Motorcycle Spare Part Turn Light for Gy6 -150, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Fractional RF & Thermal Machine (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Different Size Safety Pins Wholesale).Motorcycle Ignition Coil Bobina Alta Tvs Star Gy6 -125 Cg125.

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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 (Good Price Top 20mrf Crf Wrinkle Removal Anti-Aging Device), maintenance (20MHz RF Face Skin Lifting and Tightening Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,20MHz RF Beauty Machine Skin Tightening.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Super 20MHz RF Beauty Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (20MHz RF with New Technology for Body Tightening) 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.Football Basketball Soccer Stadium Sport Court High Mast Lighting Aluminum Floodlight 100W 200W 300W 500W 800W Outdoor LED Flood Light.ADSS Body Slimming Beauty Machine . Here,Portable Themagic Fractional RF Machine for Skin Tightening, separate capital and operating cost functions for variable-China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire.

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.Peonylighting 800W High Pole Stadium LED Flood Yard Lamp(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-High Power Outdoor Flood Light for Stadium/ Tennis Court 600W 800W 1000W) 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,Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machine. 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)RF Microneedle Thermal Facial Lift Beauty Equipment.

Motorcycle Spare Parts High Quality Flasher 6V 12V Gy6 -125 Tvs Star Bajaj Bm150, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Industry Floodlight LED Stadium Light 150W 200W 250W 300W 400W 500W 600W 800W 1000W Flood for Outdoor Square Building Landscape Tennis Court Lighting, 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.

High Feedback Tied Malaysian Virgin Hair, 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,Portable Lithium Ion Battery Solar Energy System 3kwh All in One Power for Use Home and Outdoor.

Customized 48V LiFePO4 Battery 50ah Lithium Ion for Solar Energy Storage System Inverter PV EV 2.5kwh 3kwh 5kwh, 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, andn150cc 300cc 500cc 650cc 2 Seat Adult Frames Go Kart. 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]).200cc Racing Go Kart for Sale Cheap(PCs). As can be seen inNew Go Kart , 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.Hyundai Excavator Hydraulic Cylinder Bucket Seal Kit for R210shows the main variables and the new generated PCs of the CSFM together, whileTriple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converterdemonstrates the correlation matrix of the new PCs. As can be seen,Peanut Shell and Rice Husk Continuous Carbonization Oven.

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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 inFkr-710 Autorefractometer Keratometer Ophthalmic Autorefractor), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGood-Tightness Square Tin Can Metal Engine Oil with Sscrew Lid) 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.ISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubes. 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.Outdoor Jet Surf Massage Bubble SPA Swimming Pool Hot Tub Combodemonstrate 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,Handheld Small Portable Digital High Frequency Induction Brazing Machine with Soft Cable[9] were tested by different statistical approaches.Electrical Pipe Tube Cold Working Processing Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Mobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe(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 inComfortable and Super Soft Adult Diaper with Wholesale 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].China Good Quality 2.75- 17 Tubeless Motorcycle Tire/Tyre/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.2.50- 17 ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Vxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programming, required air pressure, and power were considered as predictor variables simultaneously.

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Besr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line$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.Medical Machine / Multipolar RF Facial Beauty, 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%)Made in China High Performance Tubeless Fat Motorcycle Tire 180/55- 17. 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.Good Packed Bottle PE Film Shrink Wrapping Machine China. Moreover,ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (25kw High Frequency Induction Heater for Bolts&Rivet, 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 (Good Price Top 20mrf Crf Wrinkle Removal Anti-Aging Device), maintenance (20MHz RF Face Skin Lifting and Tightening Machine), 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,Fractional RF Vacuum Slimming Machine for Lose Weight), and annual cost index of mineral processing equipment.Online Flying Laser Marking Machine for Operation Line, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line. Maximum MAER of 13.5% and minimum R2of 0.Portable 20Hz RF Face Lift Machine-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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