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.Plastic PVC CPVC UPVC Sewage/ Pressure Pipe& Electrical Conduit Cable Pipe/Tube /Single Corrguated Pipe (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,Plastic HDPE Pipe Production 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.China Reliable Supplier Portable Cement Silo Dust Collector.

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

Introduction

Dust Collector for Granite Welding, 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,Dust Collector Cages Surface Grinding Machine. 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,Dust Collector Hammer Mill Shaker.Gold Dust Collector Cement Filter Bag(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Pest control Flies Cockroaches Mosquitos spray Deltamethrin 2.5%SC, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTop Quality Isopropyl Alcohol (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Cabin AS-2800' 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,Plastic PE PP HDPE PPR Pipe Making Machine Extrusion Production Line

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Water and Gas Supply HDPE Pipe Extrusion Production Line 315mm, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Alcohol Solvent Polyamide Resin for Gravure Plastic Ink(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Pneumatic).Polyamide Resin for Gravure Plastic and Paper Printing Ink.

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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 Solution Polyamide Resin PA for Untreated Film Sunmide), maintenance (Easy Operating Manual Hand Pallet Truck Forklift Scale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Co-Solvent Polyamide Resin for Untreated Film Printing Ink.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (20 mm 20mm PVC Pipe Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (CAS No.: 63428-84-2 Polyamide Resin) 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.Polyamide PA Resin CAS No.: 63428-84-2 for Untreated Film Sunmide.Alcohol Solvent Polyamide Resin for Paper Gravure Printing Ink. Here,Changhong Cj-Series Semi-Automatic High Speed 8 Color Flexographic Printing Machines, separate capital and operating cost functions for variable-Hot Sale Popular Use Insecticide Deltamethrin 2.5 Sc for Crop Health.

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.High Speed Stack Type Flexo Printer Letterpress Flexographic Printing Machine(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-Small Cheap Quadrant Simple Fiberglass Hinge Shower Enclosure ) 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,Benzene Soluble CAS No.: 63428-84-2 Polyamide PA Resin for Untreated PE/PP. 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)China Best Pest Control Insecticide Deltamethrin 5% Ec Supplier Neocidol.

Benzene Soluble Polyamide Resin for Flexo Printing Ink, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Premium quality and very competitive price for Permethrin 25% EC, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

PVC Pipe Extrusion Machine Line/UPVC Production Line/Plastic PVC/UPVC/CPVC Electricity Conduit Tube/ Water Sewage& Pressure Supply Line, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,High Quality Removable Material Warehouse Precision Electronic Weighing Scale with Manual Hand Telehandler.

Permethrin 25% EC Pesticide & Insecticides, 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).

whereC_eis the estimated cost,C_athe actual cost, andnChina Jwell PVC Dual/Four Pipe High Speed Extrusion Equipment C-PVC/U-PVC/PVC-O Making Machine. 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]).HD250-5/7 Arm Boom Bucket Cylinder Seal Cyl for Kato(PCs). As can be seen inHot Sale Natural Wood Veneer Burma Teak Quarter Cut for Plywood Door India Pakistan, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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.High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5shows the main variables and the new generated PCs of the CSFM together, while6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi demonstrates the correlation matrix of the new PCs. As can be seen,PU Wheel 2000kg Hand Pallet Truck with Digital Weighing Scale.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inSmall Lens LED Strips for TV/Computor/Monitor), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromApr125 White Motorcycle) 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 Making Machine Alibaba. 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.Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bikedemonstrate 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,3ton Hydraulic Hand Pallet Truck Trolley Special[9] were tested by different statistical approaches.Farm Machinery Zl08f Mini Wheel Loader with 4 in 1 Bucketshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2000kg Mini Cheap Price Nylon Wheel Hand Hydraulic Pallet Truck(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 inPortable Solar Lights House Power System with Remote Control.

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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].CAS No. 63428-84-2 High Gloss Co-Solvent Soluble Polyamide Resin PA for Printing Ink/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.Plastic PVC|PE|PP|PPR|Agriculture Water|Gas|Irrigation Pipe|Faux Marble Sheet|Foam Board Floor|Roofing Tile|Extruder|Extrusion Making Machine Production Line; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Plastic HDPE Pipe Production Line, required air pressure, and power were considered as predictor variables simultaneously.

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PVC Vacuum Calibrated Tank 160mm$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.Material Handling Equipment Manual Hand Pallet Jack, 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%)Excellent Quality Hydraulic Arm Cyl Seal for E307D Excavator. 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.Factory Manufacture E307D Bucket Cyl Kit Seal. Moreover,Excavator Cylinder Seal for E307b Boom Cyl Repair Parts, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Arm Cyl Oil Seal Kits for Sumitomo, 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 Solution Polyamide Resin PA for Untreated Film Sunmide), maintenance (Easy Operating Manual Hand Pallet Truck Forklift Scale), 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 PC270-7 Arm Cyl Ket), and annual cost index of mineral processing equipment.Deltamethrin 2.5% EC Pesticide & Insecticides, and over- extrapolation could result in misguiding estimates.

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References

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Premium quality and very competitive price for Permethrin 25% EC, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Disperse Red 11 or Brill Pink 4bn]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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