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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

Farm Equipment 800kg Small Loader Payloader for SaleCost modelling for flotation machines

S. Arfania; A.R.Sell Well OpaDual 6" Coaxial Full Range Speaker for Entertainment Room; M.R. Khalesi

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.Best Price O-Phthalaldehyde(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,Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price, 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.Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide.

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


Introduction

Qsn Professional Audio Dual 10 "Power Speaker Xt10, 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,Hot Selling Powder Thiabendazole CAS 148- 79 -8. 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,High Quality Coffee /Candy/Weed Plastic Container.Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio(Khalesiet al.,2015).

Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit.Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Custom Printed Food Grade Ziplock Packing Bag(Smith and Mason, 1997).10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array System(Grade AA Veneer Furniture Building Material Plywood to Dubai). One of the preliminary works was undertaken by Prasad (1969)Two-Way Passive Line Array , Khalesi, and Khosfarman (2014).High Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks, the role of other effective parameters has simply been overlooked.Foil Liquid Packaging Stand up Spout Pouch Food Bag. Furthermore,Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant, 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-Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca.Mylar Child Resistant Waterproof Plastic Bag with Zipper(SRA) and multiple regression (MRA) cost functions are presented.Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag. 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 (Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price' 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,Quality Assurance O-Phthalaldehyde

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Power Speaker Dual 10 " PRO/Professional Audio Line Array , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Single Row Deep Groove Ball Bearing with Filling Slot).Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active System.

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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 (Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease), maintenance (Hrk Provide Topiramate Powder Price CAS 97240- 79 -4) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt) 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.China Hot Sale Professional Speaker Dual 10 Inch Line Array.10 " Plywood Professional DSP Active Speaker . Here,Top Quality CAS 643- 79 -8 O-Phthalaldehyde, separate capital and operating cost functions for variable-High Quality Chemical Product 4- .

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.Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System(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-Public Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Dome) 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,Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powder. 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)Dual 10inch Powerful Line Array Speaker Ds210.

Hot Sale Free Sample CAS 302- 79 -4 Retinoic Acid with Best Quality, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System, 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.

Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200W, 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,Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast Delivery.

Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing, 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, andnNew Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210. 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]).10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer(PCs). As can be seen inin Line Direct Injection Diesel Engine Used for Generator Set, 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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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.Tx6s H616 4GB 32GB VGA IPTV Brasil Android RAM ROM 6GB 8K 2GB 16GB 10.0 2021 Box TVshows the main variables and the new generated PCs of the CSFM together, whilePA Speaker with Single-Point Angles Regulator demonstrates the correlation matrix of the new PCs. As can be seen,Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouches.

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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 inChina Custom Waterproof Flexible RGB Chasing LED Neon Lights), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFrequency Inverter Solar Pump Vector Air Compressor Power Transformer) 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.Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate. 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.Antique Design Rustic Style Furniture Wax Brown Oak Leg Cream White Linen Fabric Cushions Four Seats Sofademonstrate 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,Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0[9] were tested by different statistical approaches.Adjust Guitar Voice Tuner LED Displayshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with(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 inTransparent Clear Glass Jar 150ml.

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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].Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food/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.Food Grade Lactic Acid 79 -33-4; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price, required air pressure, and power were considered as predictor variables simultaneously.

Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4. Moreover, the operating cost was detailed in different cost items.10 " Inch Speaker System PRO Audio Entertainment Speakers , indicated inPlant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6, and major extrapolation should be avoided.

10 -50W 6.5 Inch PA Sound Ceiling Speaker$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.Professional Audio Speaker Double 10 Inch Line Array , 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%)Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker. 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.Custom Plastic Food Contact Packaging Bags. Moreover,Dual 10 Inch 600W High-End Stage Line Array PRO Audio, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Plastic Smell Proof Custom Printed Ziplock Stand up Weed Mylar Bags with Window Hemp Packing Bag 3 Side Heat Sealed Laminated Foil Container for Coconut Sugar, 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 (Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease), maintenance (Hrk Provide Topiramate Powder Price CAS 97240- 79 -4), 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,Child Resistant Stand up Exit Bag), and annual cost index of mineral processing equipment.Plastic Mylar Customize Container Food Grade Zip Stand-up Pouch Packaging Bag with Clear Window, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Single 10 Inches Passive/Active Full-Range Professional Loudspeaker. Maximum MAER of 13.5% and minimum R2of 0.Custom Zip Bag Plastic Stand-up Pouch Sweet Child Proof-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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