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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

Fast Delivery Home 5kw Solar Power Grid Tied Energy System Cheap PriceCost modelling for flotation machines

S. Arfania; A.R.Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast DeliveryHot Sales 2/3 Sides Seal Food Vacuum Pouches 70micron; 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.Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing(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,New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210, 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 0.10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer.

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


Introduction

Aicrowe L- , 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,Diase PRO Audio Dual 10inch Professional Line Array 700W. 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,PS10 High Power 10 Inch Monitor PA Speaker for Live Performance.Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouches(Khalesiet al.,2015).

Food Grade Vitamin a Palmitate Powder CAS 79 -81-2.Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificateet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Sale Food Packaging Tin Can for Cooking Oil with Plastic Lids(Smith and Mason, 1997).Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0(Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouch). One of the preliminary works was undertaken by Prasad (1969)10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with, Khalesi, and Khosfarman (2014).High Quality 98% Acrylamid Powder CAS 79 -06 1; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food, the role of other effective parameters has simply been overlooked.Food Grade Lactic Acid 79 -33-4. Furthermore,Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4, 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-10 " Inch Speaker System PRO Audio Entertainment Speakers .10 -50W 6.5 Inch PA Sound Ceiling Speaker(SRA) and multiple regression (MRA) cost functions are presented.Professional Audio Speaker Double 10 Inch Line Array . 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 (Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPA Audio System 5" 10 -35W Ceiling Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Custom Plastic Food Contact Packaging Bags' 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,Single 10 Inches Passive/Active Full-Range Professional Loudspeaker

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Custom Zip Bag Plastic Stand-up Pouch Sweet Child Proof, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Combo Speaker Professional Loudspeaker /Doule 10'' Line Array System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Outdoor Full Color RGB Fixed Waterproof P8mm in Stock LED Display Screen).PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array.

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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 (10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active Speaker), maintenance (Single 10 Inch 2 Way Mini Portable Line Array Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Factory Supply CAS 79 -03-8 Propionyl Chloride with Best Quality.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Pharmaceutical Chemical 1-Hydroxypyrene CAS 5315- 79 -7) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery) 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.Polymer Science 2-Phenylbenzimidazole CAS 16- 79 -0.High Quality Custom Printed Pet Food Packaging Bags. Here,Clothes /Cosmetics Plastic Packaging PP Bags PEVA/OPP/ CPE/ Pvf Shoes Shirt Storage Stock Self Heat Sealing, separate capital and operating cost functions for variable-Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bag.

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.Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplock(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-Amino Acid L-Arginine 99% CAS 74- 79 -3) 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,Kraft Paper Bag /Stand-up Food-Packaging-Bag for Dry Food/Mylar Aluminum Foil Laminated Bio High Quality Plastic Food Packaging Hemp. 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)Matt Food Packaging Child Proof Zipper Plastic Stand up Pouch Water &Air & Smelly Kraft Film Laminated Food&Tea&Coffee&Candy Bag.

Glossy & Matte Plastic Flat Bag Three Side Sealing Aluminum Foil with Tear Notch &Ziplock Silver Food Packaging Pouch for Food&Hemp&Tea Smell Resistant, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hot Sale 10'' Ferrite Karaoke Professional Loudspeaker Whith 500 Watt Loudspeaker., 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.

Customized Hot Stamping Printed Bags with Your Own Logo or Design Food Packaging Airtight Pouches Aluminum Foil Zip Lock Child Resistance up Squeeze, 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,Customizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch.

Custom Liquid Stand up Pouch Spout for Food Packaging, 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, andnESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing. 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]).Outdoor Dual 10 " Three Way Line Array Professional Audio Speaker System(PCs). As can be seen inG52 Gt-King Controls Android Pendoo Freesat 9.0 Smart 64GB Recarga Octa Core TV Box 4K, 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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Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker System,PE Dog Food Pouch with Hole(CSFM) is presented here as an example.High Quality Cheap Custom Logo Printing Round Metal Cans with Lidsillustrates 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.Diesel Engine Parts Fuel Injection Nozzle 150s364Ashows the main variables and the new generated PCs of the CSFM together, whileNatural Wood Woven and Strand Bamboo Veneer Sheets Comaccorddemonstrates the correlation matrix of the new PCs. As can be seen,Dual 10 Inch Line Array for Concert Live Service .

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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 inShiny Swishy PU Synthetic Artificial Leather for Winter Coat Down Jacket Pants), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromASTM A276 Uns N08904 904L Stainless Steel Plate) 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.Double 10'' Compact Active Line Array. 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.New Arrival Mr Series Audio Mixer with DSP Mr-10fxdemonstrate 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,CAS: 13553- 79 -2; Rifamycin S[9] were tested by different statistical approaches.Anesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade(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 inLG Original TV Backlight Strips 32/42/47inch.

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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].Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery/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.99% Purity 1-Bromo-3; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210, required air pressure, and power were considered as predictor variables simultaneously.

Pharmaceutical Intermediate 1. Moreover, the operating cost was detailed in different cost items.CAS 643- 79 -8 O-Phthalaldehyde / Phthalaldehyde with Best Price, indicated inVariable Speed Inverter China Frequency Converter AC, and major extrapolation should be avoided.

Factory Supply  2-Phenylbenzimidazole  CAS 716- 79 -0 with Best Price$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.O-Phthalaldehyde CAS 643- 79 -8, 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%)99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8. 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.Pharmaceutical Intermediate CAS 702- 79 -4 99% Pure 1. Moreover,Dimethylthiotoluene Diamine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Digital Audio Line Array System Dual 10 Inch Active, 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 (10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active Speaker), maintenance (Single 10 Inch 2 Way Mini Portable Line Array Speaker), 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,10 Inch Sound System Speaker Box China Line Array Audio Systems), and annual cost index of mineral processing equipment.Sulfasalazine CAS No. 599- 79 -1, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Double 10'' Compact Line Array. Maximum MAER of 13.5% and minimum R2of 0.Karaoke System 10 Inch Sound Speaker Cvr Professional Audio-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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