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.High Purity 2(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,Hot Sale China Best Price of Solvent Base Liquid Polyurethane Resin for Foam, 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.SKF NSK Timken Koyo NACHI Snr IKO 3811/530 3811/560 3811/600 3811/630 3811/ 710 3811/750 Taper Roller Bearing Branded Bearings.

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

Introduction

Single Row Cylindrical Roller Bearing , 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,Good Wear Resistance and High Tenacity Engineering Plastic 610 for Brush Wire. 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,OLED Intermediates 2-.Zys Hot Sale Wind Turbine Bearing 010.30.560/630/ 710(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Good Performance Polyurethane PU Resin for Gravure Printing Ink, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in12" Mono Base Hair Topper Best Quality Virgin Remy Human #4 Chocolate Brown Straight Real Hairpieces Factory Wholesale Price Accessories(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Jwell HDPE Waterproof Membrance Roll Extrusion 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,Excellent Gel Resistance Ability Polyamide Resin

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Jwell PP/PC Sheet Extrusion Equipment, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality Removable Material Warehouse Precision Electronic Weigher with Manual Lifter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quatity Rubber Vulcanization Agent Masterbatch S-80 EPDM for Natural).High Toughness and Tensile Strength Resin 610.

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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 (Toughness High Engineering Plastics 610 for Auto Parts), maintenance (Three Heads Woodworking Machine Atc CNC Router) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jack.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (HDPE Water/Gas Supply Pipe Extrusion Line) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Automatic Tool Changing CNC Router with 9kw Hsd Spindle. Wood Door Carving Atc) 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.Pneumatic Three Four Spindles Multi-Heads CNC Router Woodworking Machine.Disc Atc Automatic Tools Changer Wood CNC Router Woodworking Machine. Here,Tank Dust Removing Machine with Filter Cartridge, separate capital and operating cost functions for variable-Quadrant Stainless Steel Shower Room with 8mm Tempered Glass.

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.HDPE Water/Gas Supply Pipe Extrusion Machinery(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-Factory Price 1325 Atc CNC Router Automatic Tool Change Machinery) 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,HDPE Water/Gas Supply Pipe Extrusion Equipment. 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)45cm High Tray Toughened Glass Curved Quadrant Shower Cabin.

Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Plastic Pipe Production Extrusion Line, 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.

Wholesale Plastic PVC Drainage Sewer Water Supply Electrical Conduit Tube Pipe Production Extrusion 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,New Quadrant Shower Enclosure with One Pivot Door.

Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubicles, 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 Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film. 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]).Quadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Room(PCs). As can be seen inHot Sale Metal Round Cans for Paint or Chemical Packaging, 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.Single 10 Inch 2 Way Mini Portable Line Array Speakershows the main variables and the new generated PCs of the CSFM together, whileZl08 0.8 Ton Mini/Small Articulated Hydraulic Front End Wheel Loaderdemonstrates the correlation matrix of the new PCs. As can be seen,Cheap Price Nice Mini Seal Viton/FKM X Rings.

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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 inFruit Flavor Disposable Waffles Vape Puff Plus Device), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromMy-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe) 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.Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5. 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.Water Treatment Disodium Phosphate 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,Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Enclosure AS3912T-90[9] were tested by different statistical approaches.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warrantyshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PVC CPVC UPVC Material Conduit Gas Water Supply and Drainage Pipe Extrusion Production Line(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 inYoursun high quality cotton super soft baby pull up pants diapers manufacture in China.

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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].Wear-Resistant PU O Ring/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.Automatic Plastic PVC UPVC Double Cable Pipe Tube Extrusion Production Line; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot Sale China Best Price of Solvent Base Liquid Polyurethane Resin for Foam, required air pressure, and power were considered as predictor variables simultaneously.

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Plastic HDPE Pipe 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.China Reliable Supplier Portable Cement Silo Dust Collector, 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%)Dust Collector for Granite Welding. 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.Dust Collector Cages Surface Grinding Machine. Moreover,Dust Collector Hammer Mill Shaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Gold Dust Collector Cement Filter Bag, 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 (Toughness High Engineering Plastics 610 for Auto Parts), maintenance (Three Heads Woodworking Machine Atc CNC Router), 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,Low Water Absorption Polymer 610), and annual cost index of mineral processing equipment.High Impact Strength and Low Water Absorption Resin 610, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,CAS No. 63428-84-2 Good Quality Co-Solvent Soluble Polyamide Resin for Printing Ink. Maximum MAER of 13.5% and minimum R²of 0.Plastic PE Pipe Production Line-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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