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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

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S. Arfania; A.R.High Speed Stack Type Flexo Printer Letterpress Flexographic Printing MachineLow Failure Rate High Efficiency Induction Metal Heating Machine ; 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.Small Cheap Quadrant Simple Fiberglass Hinge Shower Enclosure (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,Benzene Soluble CAS No.: 63428-84-2 Polyamide PA Resin for Untreated PE/PP, 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.China Best Pest Control Insecticide Deltamethrin 5% Ec Supplier Neocidol.

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


Introduction

Benzene Soluble Polyamide Resin for Flexo Printing Ink, 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,Premium quality and very competitive price for Permethrin 25% EC. 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,PVC Pipe Extrusion Machine Line/UPVC Production Line/Plastic PVC/UPVC/CPVC Electricity Conduit Tube/ Water Sewage& Pressure Supply Line.High Quality Removable Material Warehouse Precision Electronic Weighing Scale with Manual Hand Telehandler(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Direct Sale Polyamide PA Resin for Ink, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;CAS No. 63428-84-2 High Gloss Co-Solvent Soluble Polyamide Resin PA for Printing Ink' names:

Plastic PVC|PE|PP|PPR|Agriculture Water|Gas|Irrigation Pipe|Faux Marble Sheet|Foam Board Floor|Roofing Tile|Extruder|Extrusion Making Machine Production Line: based on 36-foot,Warehouse Transporting Equipment Hydraulic Nylon Wheel Hand Manual Pallet Truck,Conical Twin Screw PVC /CPVC Plastic Extruder/PVC Pipe Extrusion Machine Production Line,PVC Vacuum Calibrated Tank 160mm, and level control

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,Material Handling Equipment Manual Hand Pallet Jack

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Excellent Quality Hydraulic Arm Cyl Seal for E307D Excavator, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Manufacture E307D Bucket Cyl Kit Seal(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Simva PC T8 LED Tube Light 22W).Excavator Cylinder Seal for E307b Boom Cyl Repair Parts.

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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 (Arm Cyl Oil Seal Kits for Sumitomo), maintenance (Komatsu PC270-7 Arm Cyl Ket) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Deltamethrin 2.5% EC Pesticide & Insecticides.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Manufacture! OEM Komatsu PC50uu-2 Bucket Cyl Seal Ket) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (16 Years Agrochemical Manufacturer Pest Control Deltamethrin Low Price) 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.Deltamethrin 98% Tc Insecticide 2.5 Sc Wholesale 2021.Top Quality Insecticide Classification Deltamethrin 98%TC. Here,Highly Effective Deltamethrin , separate capital and operating cost functions for variable-Chrome Quadrant Shower Enclosure with Plastic Double Roller.

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.Frame Quadrant Glass Curved Shower Cubicle for Sale Price(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-Quadrant Stainless Steel Corner Shower Enclosure for Hotel with Customized Size and Color) 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,Quadrant Framed Shower Enclosure/ Cabin / Cubicle . 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)Imiprothrin 93%TC.

Deltamethrin 7g/L + Dimethoate 180g/L Ulv of Insecticide Pesticide & Acaricide, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Deltamethrin 2.5% Wp of Insecticide Pesticide, 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.

Insecticide Deltamethrin 2.5% Ec, 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,PVC 16-32mm Four Pipes Extrusion Line.

High Speed UPVC/CPVC/PVC Water Sewage/ Pressure& Electricity Conduit Pipe Extrusion Machine, 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, andnKomatsu Boom Cyl Ket for PC300-5. 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]).PPR Pipe/HDPE Pipe/PVC Pipe /UPVC Machine Manufacturer Factory(PCs). As can be seen in15kw Grid Tied Solar 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 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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Komatsu Bucket Cyl Ket for PC300-5,Hyundai Excavator Hydraulic Cylinder Bucket Seal Kit for R210(CSFM) is presented here as an example.P-Toluenesulfinic Acid Sodium Salt Hydrate illustrates 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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabinshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warrantydemonstrates the correlation matrix of the new PCs. As can be seen,Ex200-1/2/3/4/5 Arm Cyl Oil Seal Kit for Hitachi.

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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 inProgrammable  LCD Touchscreen  Control  Thermal Shock  Chamber for Electronics  Testing), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromThree Phase 220V Frequency Converter with Vector Control) 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.Aftermarket Hdy. Cyl Repair Kits for Cat Diggers/0965606. 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.Wholesales Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Deliverydemonstrate 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,China Factory Supply Good Quality Polyamide Resin PA[9] were tested by different statistical approaches.Manufacturer 3kwh Long Life Solar Home System with LiFePO4 Batteryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality CAS No. 63428-84-2 Alcohol Soluble Polyamide PA Resin for Packaging Ink(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 inLow Price Stepped Ejector Pin with Custom Irregular Dies.

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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].Polyamide Fabric PA/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.Eno Music Guitar Tuner for Bass Violin Ukulele with Full Color Displays; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Benzene Soluble CAS No.: 63428-84-2 Polyamide PA Resin for Untreated PE/PP, required air pressure, and power were considered as predictor variables simultaneously.

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Senior Electric Guitar $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.Acoustic and Electric Guitar Hard Ware Machine Head Mh-3692, 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%)High Quality Classical Guitar Nylon Strings. 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.4 Stringed Wrapped Electric Bass Guitar Strings. Moreover,Lp Electric Guitar on-on-on Control Switch, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Ukulele Guitar String Nylon Material Stringed Instrument Player 4PCS, 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 (Arm Cyl Oil Seal Kits for Sumitomo), maintenance (Komatsu PC270-7 Arm Cyl Ket), 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,Digital Tuner ), and annual cost index of mineral processing equipment.Metronome and Tuner, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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