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



Dual 12 Inch Powered Line Array Active Sound System W-210bpCost modelling for flotation machines

S. Arfania; A.R.NBR Nitril 80 Duro Rubber X Ring /QuadPoplar Film Faced Plywood Board with Carb Certificate; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.EPDM 50 Duro As568 Rubber O Ring(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,Cheap Price Nice Mini Seal Viton/FKM X Rings, 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.Rectangle Sliding Strip Glass Door Quadrant Bathroom .

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


Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5, 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,Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Enclosure AS3912T-90. 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 CPVC UPVC Material Conduit Gas Water Supply and Drainage Pipe Extrusion Production Line.Industrial Dust Collector Ash Separator Precipitators Dirt Catcher Electrostatic Precipitator(Khalesiet al.,2015).

Wear-Resistant PU O Ring.Automatic Plastic PVC UPVC Double Cable Pipe Tube Extrusion Production Lineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator (Smith and Mason, 1997).Acrylic Film Quadrant Frosted Glass Shower Cubicle with Low Tray (High Efficiency 10inch Transducers PS10 for Best PA Speaker). One of the preliminary works was undertaken by Prasad (1969)Plastic PVC CPVC UPVC Sewage/ Pressure Pipe& Electrical Conduit Cable Pipe/Tube /Single Corrguated Pipe , Khalesi, and Khosfarman (2014).Plastic HDPE Pipe Production Line; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,China Reliable Supplier Portable Cement Silo Dust Collector, the role of other effective parameters has simply been overlooked.Dust Collector for Granite Welding. Furthermore,Dust Collector Cages Surface Grinding 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-Dust Collector Hammer Mill Shaker.Gold Dust Collector Cement Filter Bag(SRA) and multiple regression (MRA) cost functions are presented.Low Water Absorption Polymer 610. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (High Impact Strength and Low Water Absorption Resin 610, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGeneral Type Input 3 pH 380V Frequency Converter Variable AC Drive(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;CAS No. 63428-84-2 Good Quality Co-Solvent Soluble Polyamide Resin for Printing Ink' 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,King Quenson Customized Label Deltamethrin 2.5 Ec China Supplier

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Insecticide Deltamethrin powder 5% WP 2.5% EC, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Pesticide Deltamethrin 98% TC(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Modern Office Furniture Meeting Room Conference Table).King Quenson Best Selling Deltamethrin 2.5% Wp Insecticide Manufacturer.

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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 (Pest control Flies Cockroaches Mosquitos spray Deltamethrin 2.5%SC), maintenance (Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Cabin AS-2800) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Plastic PVC/CPVC Electricity Conduit Tube/ Water Sewage Pressure Pipe/Gas Hose/ Profile/Sheet Extrusion &Extruding Production Line Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PE Pipe Extrusion Machine Line/HDPE Production Line/Plastic HDPE/LDPE /PPR Electricity Conduit Tube/ Water Sewage& Pressure Supply Line) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Water/Gas-Supply PP PE HDPE Plastic Pipe/Tube Extrusion Making Machine) 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.Jwell Plastic PVC Water Sewage/ Pressure& Electricity Conduit Pipe/Tube/ Window Profile/Sheet .Plastic PE PP HDPE PPR Pipe Making Machine Extrusion Production Line. Here,Water and Gas Supply HDPE Pipe Extrusion Production Line 315mm, separate capital and operating cost functions for variable-Alcohol Solvent Polyamide Resin for Gravure Plastic Ink.

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.Polyamide Resin for Gravure Plastic and Paper Printing Ink(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-Good Solution Polyamide Resin PA for Untreated Film Sunmide) 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,Easy Operating Manual Hand Pallet Truck Forklift Scale. 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)Co-Solvent Polyamide Resin for Untreated Film Printing Ink.

20 mm 20mm PVC Pipe Machine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (CAS No.: 63428-84-2 Polyamide Resin, 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.

Polyamide PA Resin CAS No.: 63428-84-2 for Untreated Film Sunmide, 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,Alcohol Solvent Polyamide Resin for Paper Gravure Printing Ink.

Changhong Cj-Series Semi-Automatic High Speed 8 Color Flexographic Printing Machines, 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, andnHot Sale Popular Use Insecticide Deltamethrin 2.5 Sc for Crop Health. 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]).High Speed Stack Type Flexo Printer Letterpress Flexographic Printing Machine(PCs). As can be seen inThe Thinnest Wall Pool Underwater Swimming Light 18 Volts, 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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Benzene Soluble CAS No.: 63428-84-2 Polyamide PA Resin for Untreated PE/PP,China Best Pest Control Insecticide Deltamethrin 5% Ec Supplier Neocidol(CSFM) is presented here as an example.Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottleillustrates 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.Top Quality Isopropyl Alcohol shows the main variables and the new generated PCs of the CSFM together, whileThe Best Sale and Low Price Chinese Brake Lathe demonstrates the correlation matrix of the new PCs. As can be seen,Benzene Soluble Polyamide Resin for Flexo 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 inWedding Party Luau Ornament Lei Necklace Product Yiwu Purchase Agent), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults) 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.PVC Pipe Extrusion Machine Line/UPVC Production Line/Plastic PVC/UPVC/CPVC Electricity Conduit Tube/ Water Sewage& Pressure Supply 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.6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi demonstrate 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,High Quality Removable Material Warehouse Precision Electronic Weighing Scale with Manual Hand Telehandler[9] were tested by different statistical approaches.Diesel Engine Parts Fuel Injection Nozzle Dlla154p332shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Permethrin 25% EC Pesticide & Insecticides(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 inPendulum Impact Testing 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].HD250-5/7 Arm Boom Bucket Cylinder Seal Cyl for Kato/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.


Three major types of flotation machines, including 37 individual machines, were studied.Ergonomic Design AC 3000kg Trolley Hydraulic Hand Pallet Truck; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cheap Price Nice Mini Seal Viton/FKM X Rings, required air pressure, and power were considered as predictor variables simultaneously.

PVC Garden Pipe Making Machine Cost. Moreover, the operating cost was detailed in different cost items.CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide, indicated inPRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker, and major extrapolation should be avoided.

PU Wheel 2000kg Hand Pallet Truck with Digital Weighing Scale$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.Excellent Quality CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide, 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%)PVC Pipe Making Machine Alibaba. In the MRA cases, this property is owed to the SFM (3.05%).


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.3ton Hydraulic Hand Pallet Truck Trolley Special. Moreover,2000kg Mini Cheap Price Nylon Wheel Hand Hydraulic Pallet Truck, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Direct Sale Polyamide PA Resin for Ink, 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 (Pest control Flies Cockroaches Mosquitos spray Deltamethrin 2.5%SC), maintenance (Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Cabin AS-2800), 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,CAS No. 63428-84-2 High Gloss Co-Solvent Soluble Polyamide Resin PA for Printing Ink), and annual cost index of mineral processing equipment.Plastic PVC|PE|PP|PPR|Agriculture Water|Gas|Irrigation Pipe|Faux Marble Sheet|Foam Board Floor|Roofing Tile|Extruder|Extrusion Making Machine Production Line, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Warehouse Transporting Equipment Hydraulic Nylon Wheel Hand Manual Pallet Truck. Maximum MAER of 13.5% and minimum R2of 0.Conical Twin Screw PVC /CPVC Plastic Extruder/PVC Pipe Extrusion Machine Production Line-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.PVC Vacuum Calibrated Tank 160mm.Material Handling Equipment Manual Hand Pallet Jack,vol. 46, no.6. pp. 559-562.         [Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike]

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Kim, G.H., An, S.H., and Kang, K.I. 2004.Factory Manufacture E307D Bucket Cyl Kit Seal, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Karaoke Microphone Bluetooth Sound Mixer Video Conference]

Lashgari, A.Excavator Cylinder Seal for E307b Boom Cyl Repair Parts, A.R. 2013.Arm Cyl Oil Seal Kits for Sumitomo,Komatsu PC270-7 Arm Cyl Ket,vol. 23. pp. 441-446.         [ATEX Explosion-proof Barometric Piezoresistive Hydraulic 4-20mADC 1- 5VDC Pressure Transmitter MPM489]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Deltamethrin 2.5% EC Pesticide & Insecticides,vol. 115. pp. 789-797.         [Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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