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74% Calcium Enhancer Pellet for Water Treatent
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
Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606Cost modelling for flotation machines
S. Arfania; A.R.10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer20W 30W Handheld Vin Number Metal Logo Laser Marking Machine; 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.Aicrowe L- (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,Diase PRO Audio Dual 10inch Professional Line Array 700W, 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.PS10 High Power 10 Inch Monitor PA Speaker for Live Performance.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouches, 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,Food Grade Vitamin a Palmitate Powder CAS 79 -81-2. 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,Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate.Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0(Khalesiet al.,2015).
10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with.High Quality 98% Acrylamid Powder CAS 79 -06 1et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Small Cheap Quadrant Simple Fiberglass Hinge Shower Enclosure (Smith and Mason, 1997).Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food(No Flicker Glare Cost-Effective Products12V 18W LED Swimming Pool Light with Two Years Warranty). One of the preliminary works was undertaken by Prasad (1969)Food Grade Lactic Acid 79 -33-4, Khalesi, and Khosfarman (2014).Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,10 " Inch Speaker System PRO Audio Entertainment Speakers , the role of other effective parameters has simply been overlooked.10 -50W 6.5 Inch PA Sound Ceiling Speaker. Furthermore,Professional Audio Speaker Double 10 Inch Line Array , 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-Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker.Custom Plastic Food Contact Packaging Bags(SRA) and multiple regression (MRA) cost functions are presented.Dual 10 Inch 600W High-End Stage Line Array PRO Audio. 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 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, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPE Green Color Masterbatches Supplier in China(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Child Resistant Stand up Exit Bag' 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,PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active Speaker, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Single 10 Inch 2 Way Mini Portable Line Array Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (3D Four Wheel Aligner with 2 Cameras CE Certificate).China Factory Supply CAS 79 -03-8 Propionyl Chloride with Best Quality.
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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 (Pharmaceutical Chemical 1-Hydroxypyrene CAS 5315- 79 -7), maintenance (Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Polymer Science 2-Phenylbenzimidazole CAS 16- 79 -0.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (High Quality Custom Printed Pet Food Packaging Bags) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Clothes /Cosmetics Plastic Packaging PP Bags PEVA/OPP/ CPE/ Pvf Shoes Shirt Storage Stock Self Heat Sealing) 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.Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bag.Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplock. Here,Amino Acid L-Arginine 99% CAS 74- 79 -3, separate capital and operating cost functions for variable-Kraft Paper Bag /Stand-up Food-Packaging-Bag for Dry Food/Mylar Aluminum Foil Laminated Bio High Quality Plastic Food Packaging Hemp.
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.Matt Food Packaging Child Proof Zipper Plastic Stand up Pouch Water &Air & Smelly Kraft Film Laminated Food&Tea&Coffee&Candy Bag(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-Glossy & Matte Plastic Flat Bag Three Side Sealing Aluminum Foil with Tear Notch &Ziplock Silver Food Packaging Pouch for Food&Hemp&Tea Smell Resistant) 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,Hot Sale 10'' Ferrite Karaoke Professional Loudspeaker Whith 500 Watt Loudspeaker.. 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)Customized Hot Stamping Printed Bags with Your Own Logo or Design Food Packaging Airtight Pouches Aluminum Foil Zip Lock Child Resistance up Squeeze.
Customizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Custom Liquid Stand up Pouch Spout for Food Packaging, 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.
ESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing, 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,Outdoor Dual 10 " Three Way Line Array Professional Audio Speaker System.
2021 New Compact 10 " Active Line Array Speaker Sound System, 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, andnWaterproof Dual 10 " Three Way Line Array Professional Audio Speaker System. 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]).PE Dog Food Pouch with Hole(PCs). As can be seen inMini Speaker Line Array Wedding Decoraions DJ Mixer, 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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Professional Loudspeaker 10'' PRO Audio Speaker Passive Line Array System,Double 10'' Compact Active Line Array(CSFM) is presented here as an example.Screw Compressor Low Cost Small Type Pressure Sensorillustrates 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.China Safe Automatic CVT 150cc Go Kart Motor with Reverseshows the main variables and the new generated PCs of the CSFM together, whilePermethrin 25% EC Pesticide & Insecticidesdemonstrates the correlation matrix of the new PCs. As can be seen,CAS: 13553- 79 -2; Rifamycin S.
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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 inArtificial Stone Hand Wash Basin Corian Bathroom Set), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Factory Supply CAS 79 -03-8 Propionyl Chloride with Best Quality) 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.Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99% with Best Price. 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.10 Inch Coaxial Speaker Professional Driver 250wrms " Line Arraydemonstrate 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,Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery[9] were tested by different statistical approaches.Carb P2 Bleached White Poplar Plywood for Furnitureshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.99% Purity 1-Bromo-3(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 inPlayground Equipment Cartoon Theme Set.
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Cost model for variable-Pharmaceutical Intermediate 1
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].CAS 643- 79 -8 O-Phthalaldehyde / Phthalaldehyde with Best Price/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.Factory Supply 2-Phenylbenzimidazole CAS 716- 79 -0 with Best Price; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Diase PRO Audio Dual 10inch Professional Line Array 700W, required air pressure, and power were considered as predictor variables simultaneously.
O-Phthalaldehyde CAS 643- 79 -8. Moreover, the operating cost was detailed in different cost items.99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8, indicated in10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active Speaker, and major extrapolation should be avoided.
Pharmaceutical Intermediate CAS 702- 79 -4 99% Pure 1$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.Dimethylthiotoluene Diamine, 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%)Professional Digital Audio Line Array System Dual 10 Inch Active. 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.10 Inch Sound System Speaker Box China Line Array Audio Systems. Moreover,Sulfasalazine CAS No. 599- 79 -1, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Double 10'' Compact Line Array, 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 (Pharmaceutical Chemical 1-Hydroxypyrene CAS 5315- 79 -7), maintenance (Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery), 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,Karaoke System 10 Inch Sound Speaker Cvr Professional Audio), and annual cost index of mineral processing equipment.2 X HDMI, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,L10/83267-Professional Audio 10 Inch Coaxial Speaker. Maximum MAER of 13.5% and minimum R2of 0.Single 10 " Waterproof Polyurea Active Line Array Speaker Systems-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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