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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

Low Failure Rate High Efficiency Induction Metal Heating Machine Cost 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.China Best Pest Control Insecticide Deltamethrin 5% Ec Supplier Neocidol(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,Benzene Soluble Polyamide Resin for Flexo Printing Ink, 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.Premium quality and very competitive price for Permethrin 25% EC.

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


Introduction

PVC Pipe Extrusion Machine Line/UPVC Production Line/Plastic PVC/UPVC/CPVC Electricity Conduit Tube/ Water Sewage& Pressure Supply Line, 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,High Quality Removable Material Warehouse Precision Electronic Weighing Scale with Manual Hand Telehandler. 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,Permethrin 25% EC Pesticide & Insecticides.China Jwell PVC Dual/Four Pipe High Speed Extrusion Equipment C-PVC/U-PVC/PVC-O Making Machine(Khalesiet al.,2015).

HD250-5/7 Arm Boom Bucket Cylinder Seal Cyl for Kato.Ergonomic Design AC 3000kg Trolley Hydraulic Hand Pallet Trucket al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PA Speaker Dual 18" Subwoofer System(Smith and Mason, 1997).PVC Garden Pipe Making Machine Cost(20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel). One of the preliminary works was undertaken by Prasad (1969)CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide, Khalesi, and Khosfarman (2014).PU Wheel 2000kg Hand Pallet Truck with Digital Weighing Scale; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Excellent Quality CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide, the role of other effective parameters has simply been overlooked.PVC Pipe Making Machine Alibaba. Furthermore,3ton Hydraulic Hand Pallet Truck Trolley Special, 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-2000kg Mini Cheap Price Nylon Wheel Hand Hydraulic Pallet Truck.Direct Sale Polyamide PA Resin for Ink(SRA) and multiple regression (MRA) cost functions are presented.CAS No. 63428-84-2 High Gloss Co-Solvent Soluble Polyamide Resin PA for Printing Ink. 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 (Plastic PVC|PE|PP|PPR|Agriculture Water|Gas|Irrigation Pipe|Faux Marble Sheet|Foam Board Floor|Roofing Tile|Extruder|Extrusion Making Machine Production Line, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inUV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Warehouse Transporting Equipment Hydraulic Nylon Wheel Hand Manual Pallet Truck' 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,Factory Manufacture E307D Bucket Cyl Kit Seal

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Excavator Cylinder Seal for E307b Boom Cyl Repair Parts, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Arm Cyl Oil Seal Kits for Sumitomo(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Protective Surgical Medical Face Mask).Komatsu PC270-7 Arm Cyl Ket.

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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 (Deltamethrin 2.5% EC Pesticide & Insecticides), maintenance (Manufacture! OEM Komatsu PC50uu-2 Bucket Cyl Seal Ket) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,16 Years Agrochemical Manufacturer Pest Control Deltamethrin Low Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Deltamethrin 98% Tc Insecticide 2.5 Sc Wholesale 2021) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Top Quality Insecticide Classification Deltamethrin 98%TC) 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.Highly Effective Deltamethrin .Chrome Quadrant Shower Enclosure with Plastic Double Roller. Here,Frame Quadrant Glass Curved Shower Cubicle for Sale Price, separate capital and operating cost functions for variable-Quadrant Stainless Steel Corner Shower Enclosure for Hotel with Customized Size and Color.

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.Quadrant Framed Shower Enclosure/ Cabin / Cubicle (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-Imiprothrin 93%TC) 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,Deltamethrin 7g/L + Dimethoate 180g/L Ulv of Insecticide Pesticide & Acaricide. 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)Deltamethrin 2.5% Wp of Insecticide Pesticide.

Insecticide Deltamethrin 2.5% Ec, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PVC 16-32mm Four Pipes Extrusion Line, 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.

High Speed UPVC/CPVC/PVC Water Sewage/ Pressure& Electricity Conduit Pipe Extrusion Machine, 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,Komatsu Boom Cyl Ket for PC300-5.

PPR Pipe/HDPE Pipe/PVC Pipe /UPVC Machine Manufacturer Factory, 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, andnKomatsu Boom Cyl Ket for PC400-6. 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 Bucket Cyl Ket for PC300-5(PCs). As can be seen inSafe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2, 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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Ex200-1/2/3/4/5 Arm Cyl Oil Seal Kit for Hitachi,Factory Direct Sale Polyamide PA Resin for Ink and Adhesives(CSFM) is presented here as an example.Yn725 Yineng Mini Wheel Loader 18.5kw Cabinillustrates 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.High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warrantyshows the main variables and the new generated PCs of the CSFM together, while0.8ton Contruction Machine Mini Small Wheel Loader with Bucketdemonstrates the correlation matrix of the new PCs. As can be seen,Aftermarket Hdy. Cyl Repair Kits for Cat Diggers/0965606.

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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 in7PCS Colorful Diamond Handle Rainbow Makeup Brush Set), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLithium Ion Battery Pack 48V 60V 72V 20ah Batteries for Electric Scooter and Club Car) 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.High Quality CAS No. 63428-84-2 Alcohol Soluble Polyamide PA Resin for Packaging Ink. 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.Manufacturer 3kwh Long Life Solar Home System with LiFePO4 Batterydemonstrate 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,Used for Brushing PA610 with High Tensile Strength[9] were tested by different statistical approaches.Aluminum Clear Window Printing Glossy Rainbow Stand up Zipper Resealable Food Packaging Colorful Cosmetic Matt Coffee Transparent Pouch for Nutshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Polyamide Fabric PA(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 inYishan 160HP swamp hydraulic crawler bulldozer TSY160G with competitive price.

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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].Adjust Guitar Voice Tuner LED Display/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.High Quality Nylon Plated Classical Guitar Accessory Strings; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Benzene Soluble Polyamide Resin for Flexo Printing Ink, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality Classical Guitar Nylon Strings$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 0.4 Stringed Wrapped Electric Bass Guitar Strings, 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%)Lp Electric Guitar on-on-on Control Switch. 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.Ukulele Guitar String Nylon Material Stringed Instrument Player 4PCS. Moreover,Digital Tuner , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Metronome and Tuner, 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 (Deltamethrin 2.5% EC Pesticide & Insecticides), maintenance (Manufacture! OEM Komatsu PC50uu-2 Bucket Cyl Seal Ket), 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,Creative Caline Cp-09 Tuner Power Pedal Guitar), and annual cost index of mineral processing equipment.Digital Tuner for Guitar , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Newest Hot Sell Guitar Machine Head Tuner. Maximum MAER of 13.5% and minimum R2of 0.10W 4" Inchs LED Dimmable Downlight for Room-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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