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


Diesel Engine Parts Fuel Injection Nozzle Dlla154p332Cost modelling for flotation machines

S. Arfania; A.R.Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Cabin AS-2800Portable Handheld Metal Plastic DOT Peen Marking Machine; 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.Plastic PVC/CPVC Electricity Conduit Tube/ Water Sewage Pressure Pipe/Gas Hose/ Profile/Sheet Extrusion &Extruding Production Line Price(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,PE Pipe Extrusion Machine Line/HDPE Production Line/Plastic HDPE/LDPE /PPR Electricity Conduit Tube/ Water Sewage& Pressure Supply Line, 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.Water/Gas-Supply PP PE HDPE Plastic Pipe/Tube Extrusion Making Machine.

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


Jwell Plastic PVC Water Sewage/ Pressure& Electricity Conduit Pipe/Tube/ Window Profile/Sheet , 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,Plastic PE PP HDPE PPR Pipe Making Machine Extrusion Production 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,Water and Gas Supply HDPE Pipe Extrusion Production Line 315mm.Alcohol Solvent Polyamide Resin for Gravure Plastic Ink(Khalesiet al.,2015).

Polyamide Resin for Gravure Plastic and Paper Printing Ink.Good Solution Polyamide Resin PA for Untreated Film Sunmideet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64(Smith and Mason, 1997).Easy Operating Manual Hand Pallet Truck Forklift Scale(Apr125 White Motorcycle). One of the preliminary works was undertaken by Prasad (1969)Co-Solvent Polyamide Resin for Untreated Film Printing Ink, Khalesi, and Khosfarman (2014).20 mm 20mm PVC Pipe Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,CAS No.: 63428-84-2 Polyamide Resin, the role of other effective parameters has simply been overlooked.Polyamide PA Resin CAS No.: 63428-84-2 for Untreated Film Sunmide. Furthermore,Alcohol Solvent Polyamide Resin for Paper Gravure Printing Ink, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Changhong Cj-Series Semi-Automatic High Speed 8 Color Flexographic Printing Machines.Hot Sale Popular Use Insecticide Deltamethrin 2.5 Sc for Crop Health(SRA) and multiple regression (MRA) cost functions are presented.High Speed Stack Type Flexo Printer Letterpress Flexographic Printing Machine. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Small Cheap Quadrant Simple Fiberglass Hinge Shower Enclosure , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Benzene Soluble CAS No.: 63428-84-2 Polyamide PA Resin for Untreated PE/PP' 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,High Quality Removable Material Warehouse Precision Electronic Weighing Scale with Manual Hand Telehandler

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Permethrin 25% EC Pesticide & Insecticides, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Jwell PVC Dual/Four Pipe High Speed Extrusion Equipment C-PVC/U-PVC/PVC-O Making Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Yaye Top Sell Sm5050/SMD3528 13W LED Corn Light/13W Lamp with CE/RoHS).HD250-5/7 Arm Boom Bucket Cylinder Seal Cyl for Kato.

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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 (Ergonomic Design AC 3000kg Trolley Hydraulic Hand Pallet Truck), maintenance (PVC Garden Pipe Making Machine Cost) 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 Polyamide PA Resin for Untreated Film Sunmide.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PU Wheel 2000kg Hand Pallet Truck with Digital Weighing Scale) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Excellent Quality CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide) 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.PVC Pipe Making Machine Alibaba.3ton Hydraulic Hand Pallet Truck Trolley Special. Here,2000kg Mini Cheap Price Nylon Wheel Hand Hydraulic Pallet Truck, separate capital and operating cost functions for variable-Direct Sale Polyamide PA Resin for 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.CAS No. 63428-84-2 High Gloss Co-Solvent Soluble Polyamide Resin PA for 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-Plastic PVC|PE|PP|PPR|Agriculture Water|Gas|Irrigation Pipe|Faux Marble Sheet|Foam Board Floor|Roofing Tile|Extruder|Extrusion Making Machine Production Line) 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,Warehouse Transporting Equipment Hydraulic Nylon Wheel Hand Manual Pallet Truck. 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)Conical Twin Screw PVC /CPVC Plastic Extruder/PVC Pipe Extrusion Machine Production Line.

PVC Vacuum Calibrated Tank 160mm, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Material Handling Equipment Manual Hand Pallet Jack, 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.

Excellent Quality Hydraulic Arm Cyl Seal for E307D Excavator, 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,Factory Manufacture E307D Bucket Cyl Kit Seal.

Excavator Cylinder Seal for E307b Boom Cyl Repair Parts, 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, andnArm Cyl Oil Seal Kits for Sumitomo. 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]).Komatsu PC270-7 Arm Cyl Ket(PCs). As can be seen inFarm Machinery Zl08f Mini Wheel Loader with 4 in 1 Bucket, 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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Manufacture! OEM Komatsu PC50uu-2 Bucket Cyl Seal Ket,16 Years Agrochemical Manufacturer Pest Control Deltamethrin Low Price(CSFM) is presented here as an example.GMP Factory Supply High Quality Anesthesia Levobupivacaine Pain Release CAS: 27262-48-2illustrates 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.Karaoke Microphone Bluetooth Sound Mixer Video Conferenceshows the main variables and the new generated PCs of the CSFM together, while2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warrantydemonstrates the correlation matrix of the new PCs. As can be seen,Deltamethrin 98% Tc Insecticide 2.5 Sc Wholesale 2021.

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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 inChina Plywood Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel) 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.Highly Effective Deltamethrin . 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.15kw Grid Tied Solar 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,Chrome Quadrant Shower Enclosure with Plastic Double Roller[9] were tested by different statistical approaches.Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Frame Quadrant Glass Curved Shower Cubicle for Sale Price(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 inHigh Quality Customized Aluminum Precision CNC Machining Parts.

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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].Quadrant Framed Shower Enclosure/ Cabin / Cubicle /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.Imiprothrin 93%TC; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PE Pipe Extrusion Machine Line/HDPE Production Line/Plastic HDPE/LDPE /PPR Electricity Conduit Tube/ Water Sewage& Pressure Supply Line, required air pressure, and power were considered as predictor variables simultaneously.

Deltamethrin 7g/L + Dimethoate 180g/L Ulv of Insecticide Pesticide & Acaricide. Moreover, the operating cost was detailed in different cost items.Deltamethrin 2.5% Wp of Insecticide Pesticide, indicated inHigh Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty, and major extrapolation should be avoided.

Insecticide Deltamethrin 2.5% Ec$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.PVC 16-32mm Four Pipes Extrusion Line, 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 Speed UPVC/CPVC/PVC Water Sewage/ Pressure& Electricity Conduit Pipe Extrusion Machine. 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.Komatsu Boom Cyl Ket for PC300-5. Moreover,PPR Pipe/HDPE Pipe/PVC Pipe /UPVC Machine Manufacturer Factory, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Komatsu Boom Cyl Ket for PC400-6, 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 (Ergonomic Design AC 3000kg Trolley Hydraulic Hand Pallet Truck), maintenance (PVC Garden Pipe Making Machine Cost), 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,Komatsu Bucket Cyl Ket for PC300-5), and annual cost index of mineral processing equipment.Hyundai Excavator Hydraulic Cylinder Bucket Seal Kit for R210, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Ex200-1/2/3/4/5 Arm Cyl Oil Seal Kit for Hitachi. Maximum MAER of 13.5% and minimum R2of 0.Factory Direct Sale Polyamide PA Resin for Ink and Adhesives-feasibility and even feasibility study level of projects.


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Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Customized Logo Amazon 14oz 30oz Stainless Steel Insulated Yetis Tumbler with Handle]

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Khalesi, M. R., Zarei, M. J.,Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Cabin AS-2800, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-High Quality CAS No. 63428-84-2 Alcohol Soluble Polyamide PA Resin for Packaging Ink.Minerals Engineering,vol. 81. pp. 103-108.         [Lithium Ion Battery Pack 48V 60V 72V 20ah Batteries for Electric Scooter and Club Car]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Used for Brushing PA610 with High Tensile Strength, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Wholesales Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.High Quality Nylon Plated Classical Guitar Accessory Strings,vol. 115. pp. 789-797.         [Disperse Red 11 or Brill Pink 4bn]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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