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Mineral Processing Reagents Collector Ammonium Dibutyl DithiophosphateCost modelling for flotation machines

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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.Acrylic Film Quadrant Frosted Glass Shower Cubicle with Low Tray (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 PVC CPVC UPVC Sewage/ Pressure Pipe& Electrical Conduit Cable Pipe/Tube /Single Corrguated Pipe , 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.Plastic HDPE Pipe Production Line.

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

Introduction

China Reliable Supplier Portable Cement Silo Dust Collector, 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 for Granite Welding. 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 Cages Surface Grinding Machine.Dust Collector Hammer Mill Shaker(Khalesiet al.,2015).

Gold Dust Collector Cement Filter Bag.Low Water Absorption Polymer 610et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17(Smith and Mason, 1997).High Impact Strength and Low Water Absorption Resin 610(Factory Price Diethyl 2). One of the preliminary works was undertaken by Prasad (1969)CAS No. 63428-84-2 Good Quality Co-Solvent Soluble Polyamide Resin for Printing Ink, Khalesi, and Khosfarman (2014).Plastic PE Pipe Production Line; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Non Standard Eco Friendly Rubber Seal O-Ring, the role of other effective parameters has simply been overlooked.High Quality Elasticity Competitve Nitrile X Ring. Furthermore,2t 2000kg 3t 3000kg 5t 5000kg Hydraulic Pump Nylon PU Wheel Hand Manual Pallet Carrier Forklift, 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-King Quenson Customized Label Deltamethrin 2.5 Ec China Supplier.Insecticide Deltamethrin powder 5% WP 2.5% EC(SRA) and multiple regression (MRA) cost functions are presented.Pesticide Deltamethrin 98% TC. 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 (King Quenson Best Selling Deltamethrin 2.5% Wp Insecticide Manufacturer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Pest control Flies Cockroaches Mosquitos spray Deltamethrin 2.5%SC' 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,Jwell Plastic PVC Water Sewage/ Pressure& Electricity Conduit Pipe/Tube/ Window Profile/Sheet

►Standard 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, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Water and Gas Supply HDPE Pipe Extrusion Production Line 315mm(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Qt10-15 Cement Ventilation Brick Block Making Machine).Alcohol Solvent Polyamide Resin for Gravure Plastic 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 (Polyamide Resin for Gravure Plastic and Paper Printing Ink), maintenance (Good Solution Polyamide Resin PA for Untreated Film Sunmide) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Easy Operating Manual Hand Pallet Truck Forklift Scale.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

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

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.Hot Sale Popular Use Insecticide Deltamethrin 2.5 Sc for Crop Health(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-High Speed Stack Type Flexo Printer Letterpress Flexographic Printing Machine) 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,Small Cheap Quadrant Simple Fiberglass Hinge Shower Enclosure . 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)Benzene Soluble CAS No.: 63428-84-2 Polyamide PA Resin for Untreated PE/PP.

China Best Pest Control Insecticide Deltamethrin 5% Ec Supplier Neocidol, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Benzene Soluble Polyamide Resin for Flexo Printing Ink, 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.

Premium quality and very competitive price for Permethrin 25% 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,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, 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, andnPermethrin 25% EC Pesticide & Insecticides. 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]).China Jwell PVC Dual/Four Pipe High Speed Extrusion Equipment C-PVC/U-PVC/PVC-O Making Machine(PCs). As can be seen inExcellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power, 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.975 Solar 30kw 40kw on Grid Tie Power System for Factory/House Roofshows the main variables and the new generated PCs of the CSFM together, whileSupply Rosin Modified Polyamide Resin for Paintdemonstrates the correlation matrix of the new PCs. As can be seen,CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide.

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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 inChina Brand Shantui SD16 Crawler Bulldozer Factory Price for Sell), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from10W 20W 30W portable Fiber Laser Marking Machine) 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.Excellent Quality CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide. 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.CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%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,PVC Pipe Making Machine Alibaba[9] were tested by different statistical approaches.Home Use Cheap Solar Panel System 10kw Grid Tied Kitshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.3ton Hydraulic Hand Pallet Truck Trolley Special(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 inManufacturer Bulk Instant Antibacterial Hand Sanitizer Gel Alcohol.

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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].Direct Sale Polyamide PA Resin for 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.CAS No. 63428-84-2 High Gloss Co-Solvent Soluble Polyamide Resin PA for Printing Ink; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Plastic PVC CPVC UPVC Sewage/ Pressure Pipe& Electrical Conduit Cable Pipe/Tube /Single Corrguated Pipe , required air pressure, and power were considered as predictor variables simultaneously.

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Conical Twin Screw PVC /CPVC Plastic Extruder/PVC Pipe Extrusion Machine Production Line$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 Vacuum Calibrated Tank 160mm, 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%)Material Handling Equipment Manual Hand Pallet Jack. 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.Excellent Quality Hydraulic Arm Cyl Seal for E307D Excavator. Moreover,Factory Manufacture E307D Bucket Cyl Kit Seal, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Excavator Cylinder Seal for E307b Boom Cyl Repair Parts, 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 (Polyamide Resin for Gravure Plastic and Paper Printing Ink), maintenance (Good Solution Polyamide Resin PA for Untreated Film Sunmide), 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,Arm Cyl Oil Seal Kits for Sumitomo), and annual cost index of mineral processing equipment.Komatsu PC270-7 Arm Cyl Ket, 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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