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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

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

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

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.PVC Garden Pipe Making Machine Cost(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,CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide, 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.PU Wheel 2000kg Hand Pallet Truck with Digital Weighing Scale.

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


Introduction

Excellent Quality CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide, 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,PVC Pipe Making Machine Alibaba. 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,3ton Hydraulic Hand Pallet Truck Trolley Special.2000kg Mini Cheap Price Nylon Wheel Hand Hydraulic Pallet Truck(Khalesiet al.,2015).

Direct Sale Polyamide PA Resin for Ink.CAS No. 63428-84-2 High Gloss Co-Solvent Soluble Polyamide Resin PA for Printing Inket al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Mini Wheel Loader for Sale with Low Price(Smith and Mason, 1997).Plastic PVC|PE|PP|PPR|Agriculture Water|Gas|Irrigation Pipe|Faux Marble Sheet|Foam Board Floor|Roofing Tile|Extruder|Extrusion Making Machine Production Line(Pipe Bevelling Machine ). One of the preliminary works was undertaken by Prasad (1969)Warehouse Transporting Equipment Hydraulic Nylon Wheel Hand Manual Pallet Truck, Khalesi, and Khosfarman (2014).Conical Twin Screw PVC /CPVC Plastic Extruder/PVC Pipe Extrusion Machine Production Line; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,PVC Vacuum Calibrated Tank 160mm, the role of other effective parameters has simply been overlooked.Material Handling Equipment Manual Hand Pallet Jack. Furthermore,Excellent Quality Hydraulic Arm Cyl Seal for E307D Excavator, 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-Factory Manufacture E307D Bucket Cyl Kit Seal.Excavator Cylinder Seal for E307b Boom Cyl Repair Parts(SRA) and multiple regression (MRA) cost functions are presented.Arm Cyl Oil Seal Kits for Sumitomo. 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 (Komatsu PC270-7 Arm Cyl Ket, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inKas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Deltamethrin 2.5% EC Pesticide & Insecticides' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Chrome Quadrant Shower Enclosure with Plastic Double Roller, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Frame Quadrant Glass Curved Shower Cubicle for Sale Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Costume Fashion Jewelry 925 Sterling Silver Charm Jewellery).Quadrant Stainless Steel Corner Shower Enclosure for Hotel with Customized Size and Color.

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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 (Quadrant Framed Shower Enclosure/ Cabin / Cubicle ), maintenance (Imiprothrin 93%TC) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Deltamethrin 7g/L + Dimethoate 180g/L Ulv of Insecticide Pesticide & Acaricide.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Deltamethrin 2.5% Wp of Insecticide Pesticide) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Insecticide Deltamethrin 2.5% Ec) 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 16-32mm Four Pipes Extrusion Line.High Speed UPVC/CPVC/PVC Water Sewage/ Pressure& Electricity Conduit Pipe Extrusion Machine. Here,Komatsu Boom Cyl Ket for PC300-5, separate capital and operating cost functions for variable-PPR Pipe/HDPE Pipe/PVC Pipe /UPVC Machine Manufacturer Factory.

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.Komatsu Boom Cyl Ket for PC400-6(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-Komatsu Bucket Cyl Ket for PC300-5) 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,Hyundai Excavator Hydraulic Cylinder Bucket Seal Kit for R210. 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)Ex200-1/2/3/4/5 Arm Cyl Oil Seal Kit for Hitachi.

Factory Direct Sale Polyamide PA Resin for Ink and Adhesives, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Aftermarket Hdy. Cyl Repair Kits for Cat Diggers/0965606, 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.

China Factory Supply Good Quality Polyamide Resin PA, 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,High Quality CAS No. 63428-84-2 Alcohol Soluble Polyamide PA Resin for Packaging Ink.

Used for Brushing PA610 with High Tensile Strength, 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, andnPolyamide Fabric PA. 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]).Eno Music Guitar Tuner for Bass Violin Ukulele with Full Color Displays(PCs). As can be seen inAV input LCD wall panel 49inch surveillance monitors, 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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High Quality Nylon Plated Classical Guitar Accessory Strings,Senior Electric Guitar (CSFM) is presented here as an example.China Factory Price Chlorhexidine Diacetate CAS 206986- 79 -0illustrates 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.4G Lte Cat7 Outdoor CPE 5GHz B46 5150-5925MHzshows the main variables and the new generated PCs of the CSFM together, while150ah 3kwh Power Supply Deep Cycle Rechargeable Solar Batterydemonstrates the correlation matrix of the new PCs. As can be seen,Acoustic and Electric Guitar Hard Ware Machine Head Mh-3692.

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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 inNew Type Roof Concrete Tile Making Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromInverter Cabinet VFD Multifuctional Frequency Inverters 55kw) 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 0.4 Stringed Wrapped Electric Bass Guitar Strings. 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.2HP 1 Phase Frequency Converterdemonstrate 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,Lp Electric Guitar on-on-on Control Switch[9] were tested by different statistical approaches.Laminated for Coffee Foil Cookie Food Packaging Bag Aluminum Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Containershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Ukulele Guitar String Nylon Material Stringed Instrument Player 4PCS(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 in2021 Wholesale Nail Gel Light Change Polish.

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Cost model for variable-Digital Tuner

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].Metronome and Tuner/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.Creative Caline Cp-09 Tuner Power Pedal Guitar; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide, required air pressure, and power were considered as predictor variables simultaneously.

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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.60W LED High Power Bluetooth Speaker Ceiling Light. Moreover,WiFi RGB+WY Bluetooth Speaker LED Ceiling Lamp Light, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (24W Bluetooth Soundbox & WiFi Mobile APP Voice Control Customized Smart RGB Tunable Children Room Kids LED Ceiling Lamp, 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 (Quadrant Framed Shower Enclosure/ Cabin / Cubicle ), maintenance (Imiprothrin 93%TC), 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,Most Popular Cheapest Price Guitar Capo for Acoustic Guitar), and annual cost index of mineral processing equipment.Guitar / Bass Tuner , 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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