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



Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound ProbeCost modelling for flotation machines

S. Arfania; A.R.SptsDiesel Fuel Injection Nozzle Dlla160pn141; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.High Power DJ Sound Equipment System Line Array PA Speaker(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,2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array, 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.Best Price Medicine Grade Lanosterol Powder.

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


Outdoor Professional Audio Loudspeaker PA Stage Active Line Array, 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,PRO Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address. 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,Factory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4.Cosmetic Grade L-Arginine with Best Price(Khalesiet al.,2015).

Anti-Wrinkle and Aging Chemical Raw Materials.High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Deliveryet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 10W 20W 30W portable Fiber Laser Marking Machine(Smith and Mason, 1997).Waterproof Childproof Ziplock Valve Bag(0.15mm-1.0mm Okume/ Bintangor/ Sapelli Natural Veneer From Linyi Orikey Wood). One of the preliminary works was undertaken by Prasad (1969)Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2, Khalesi, and Khosfarman (2014).Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price, the role of other effective parameters has simply been overlooked.L-Arginine Powder Amino Acid Pure Manufacturer. Furthermore,White Powder Vitamin a for Food and Feed Grade, 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-Chinese Manufacturers Are Selling Big-Name Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol.Professional Line Array Speaker Neodymium Af15(SRA) and multiple regression (MRA) cost functions are presented.Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Q210 Passive PA Speaker System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCheap Price Speaker Wall Mount Bracket (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredient' 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,12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Made in China PA Speaker System Three Way Loudspeakers, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Line Array Speaker Professional PA System Two Way Full Rang Passive (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (New Popular Project Stripe Organza Voile Sheer Curtain Fabric 0082125).Pyridinecas Number 110//86//1 Used as Chemical Reagent.

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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 (Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG), maintenance (P-Toluenesulfinic Acid Sodium Salt Hydrate ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Bloom Tech Chemical Reagent Bis .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (CAS: 13463-67-7 Titanium Dioxide Powder) 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.Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic.Factory Supply 99% Dexketoprofen Trometamol Powder. Here,10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth , separate capital and operating cost functions for variable-Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box.

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.Feiyang New Hot Selling Trolley Speaker Fg210-06(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-V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater) 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,PRO Audio PA System Digital Mixer. 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)Food Grade L-Arginine with Best Price.

J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosure, 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.

Wild Bee Venom Extract Melittin 99% Powder for Skin Care, 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,Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1.

Retinoic Acid CAS 302- 79 -4 in Stock, 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, andnPlastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag. 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]).ISO Certified 100% Natural L-Arginine Powder(PCs). As can be seen inOverseas Warehouse Fast Delivery Organic Chemicals , 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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Chemical Reagent Bloom Tech 2,High Quality Opa O-Phthalaldehyde with Best Price(CSFM) is presented here as an example.750ml Metal Tin Can Container for Chili Oil Canningillustrates 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.Mini Small Hot Sale in Europe Wheel Loader forshows the main variables and the new generated PCs of the CSFM together, whilePRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Arraydemonstrates the correlation matrix of the new PCs. As can be seen,Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G.

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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 inFlexible SMD LED Strip Light), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromManufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Mylar Recyclable Heat Sealed Coffee Bean Rice Dough Powder) 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 0.10 Inch Powered Line Array Speaker Active. 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.Wolf Agricultural Machinery Construction Small Front End Wheel Loader with Euro5 and Tier4 Enginedemonstrate 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,Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker[9] were tested by different statistical approaches.Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Dual 10 Inch Line Aray Powered Active Sound System(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 inGrain Collection Pneumatic Components Speed Adalah Rubber Belt Type.

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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].Manufacturer Supply 1/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.


Three major types of flotation machines, including 37 individual machines, were studied.Dual 10inch PA Audio Line Array Speaker Box System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array, required air pressure, and power were considered as predictor variables simultaneously.

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Food Packaging Vacuum Pouch$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.Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery, 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%)L-Arginine 99%. In the MRA cases, this property is owed to the SFM (3.05%).


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.China Factory Price CAS 702- 79 -4 1. Moreover,CPP High Temperature Vacuum Retort Pouch, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin , 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 (Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG), maintenance (P-Toluenesulfinic Acid Sodium Salt Hydrate ), 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,High Temperature 3 Side Seal Retort Pouch for Corn), and annual cost index of mineral processing equipment.R-3-Amino-1-N-Boc-Piperidine, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,ISO Certified 100% Natural L-Arginine Powder. Maximum MAER of 13.5% and minimum R2of 0.Mylar Barrier Exit Waterproof Cr Bag-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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