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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

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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.HDPE Water/Gas Supply Pipe Extrusion Equipment(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,45cm High Tray Toughened Glass Curved Quadrant Shower Cabin, 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.Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door.

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


Introduction

Plastic Pipe Production Extrusion Line, 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,Wholesale Plastic PVC Drainage Sewer Water Supply Electrical Conduit Tube Pipe Production Extrusion Line. 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 Quadrant Shower Enclosure with One Pivot Door.Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubicles(Khalesiet al.,2015).

China Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film.Quadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Roomet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Vrx932la Dual Voice Coil Line Array Speaker Box(Smith and Mason, 1997).HDPE PE PPR Pipe Making Machine(AC Converter Variable Frequency Drive 3 pH 0.75kw Output Power Supply). One of the preliminary works was undertaken by Prasad (1969)NBR Nitril 80 Duro Rubber X Ring /Quad, Khalesi, and Khosfarman (2014).EPDM 50 Duro As568 Rubber O Ring; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Cheap Price Nice Mini Seal Viton/FKM X Rings, the role of other effective parameters has simply been overlooked.Rectangle Sliding Strip Glass Door Quadrant Bathroom . Furthermore,Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5, 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-Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Enclosure AS3912T-90.PVC CPVC UPVC Material Conduit Gas Water Supply and Drainage Pipe Extrusion Production Line(SRA) and multiple regression (MRA) cost functions are presented.Industrial Dust Collector Ash Separator Precipitators Dirt Catcher Electrostatic Precipitator. 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 (Wear-Resistant PU O Ring, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Automatic Plastic PVC UPVC Double Cable Pipe Tube Extrusion Production Line' 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,Dust Collector for Granite Welding

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Dust Collector Cages Surface Grinding Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dust Collector Hammer Mill Shaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Factory Direct Sell Cheap Medical Home Use Oxygen Concentrator).Gold Dust Collector Cement Filter Bag.

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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 (Low Water Absorption Polymer 610), maintenance (High Impact Strength and Low Water Absorption Resin 610) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,CAS No. 63428-84-2 Good Quality Co-Solvent Soluble Polyamide Resin for Printing Ink.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Plastic PE Pipe Production Line) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Non Standard Eco Friendly Rubber Seal O-Ring) 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.High Quality Elasticity Competitve Nitrile X Ring.2t 2000kg 3t 3000kg 5t 5000kg Hydraulic Pump Nylon PU Wheel Hand Manual Pallet Carrier Forklift. Here,King Quenson Customized Label Deltamethrin 2.5 Ec China Supplier, separate capital and operating cost functions for variable-Insecticide Deltamethrin powder 5% WP 2.5% EC.

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.Pesticide Deltamethrin 98% TC(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-King Quenson Best Selling Deltamethrin 2.5% Wp Insecticide Manufacturer) 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,Pest control Flies Cockroaches Mosquitos spray Deltamethrin 2.5%SC. 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)Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Cabin AS-2800.

Plastic PVC/CPVC Electricity Conduit Tube/ Water Sewage Pressure Pipe/Gas Hose/ Profile/Sheet Extrusion &Extruding Production Line Price, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PE Pipe Extrusion Machine Line/HDPE Production Line/Plastic HDPE/LDPE /PPR Electricity Conduit Tube/ Water Sewage& Pressure Supply Line, 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.

Water/Gas-Supply PP PE HDPE Plastic Pipe/Tube Extrusion Making 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,Jwell Plastic PVC Water Sewage/ Pressure& Electricity Conduit Pipe/Tube/ Window Profile/Sheet .

Plastic PE PP HDPE PPR Pipe Making Machine Extrusion Production Line, 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, andnWater and Gas Supply HDPE Pipe Extrusion Production Line 315mm. 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]).Alcohol Solvent Polyamide Resin for Gravure Plastic Ink(PCs). As can be seen inTop Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2, 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.Solar Energy System 5kw Panel Home Grid Tied Powershows the main variables and the new generated PCs of the CSFM together, whileChinese Wooden Silver-Leaf Classical Fabric Sofademonstrates the correlation matrix of the new PCs. As can be seen,Co-Solvent Polyamide Resin for Untreated Film Printing Ink.

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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 inCompetitive Price Super Soft Ultra Thin Baby Pull up Pants Diaper), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Price Diethyl 2) 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.CAS No.: 63428-84-2 Polyamide Resin. 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.50cc Motorcycledemonstrate 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,Polyamide PA Resin CAS No.: 63428-84-2 for Untreated Film Sunmide[9] were tested by different statistical approaches.Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Powershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Alcohol Solvent Polyamide Resin for Paper Gravure Printing 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 in1 Year Warranty High Efficient Hobby Metal Lathe Machine.

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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].Hot Sale Popular Use Insecticide Deltamethrin 2.5 Sc for Crop Health/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.High Speed Stack Type Flexo Printer Letterpress Flexographic Printing Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,45cm High Tray Toughened Glass Curved Quadrant Shower Cabin, required air pressure, and power were considered as predictor variables simultaneously.

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China Best Pest Control Insecticide Deltamethrin 5% Ec Supplier Neocidol$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.Benzene Soluble Polyamide Resin for Flexo Printing Ink, 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%)Premium quality and very competitive price for Permethrin 25% EC. 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.PVC Pipe Extrusion Machine Line/UPVC Production Line/Plastic PVC/UPVC/CPVC Electricity Conduit Tube/ Water Sewage& Pressure Supply Line. Moreover,High Quality Removable Material Warehouse Precision Electronic Weighing Scale with Manual Hand Telehandler, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Permethrin 25% EC Pesticide & Insecticides, 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 (Low Water Absorption Polymer 610), maintenance (High Impact Strength and Low Water Absorption Resin 610), 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,China Jwell PVC Dual/Four Pipe High Speed Extrusion Equipment C-PVC/U-PVC/PVC-O Making Machine), and annual cost index of mineral processing equipment.HD250-5/7 Arm Boom Bucket Cylinder Seal Cyl for Kato, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Material Handling Equipment Manual Hand Pallet Jack.Excellent Quality Hydraulic Arm Cyl Seal for E307D Excavator.PVC Vacuum Calibrated Tank 160mm, Montreal. 319 pp.         [2386 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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