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Solar Electric MotorcycleCost modelling for flotation machines

S. Arfania; A.R.Professoinal Line Array System Dual 10 Inch Professional Audio Speaker30W CO2 Touch Screen Laser Marking Coding Engraving 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.Dual 10 " Compact Speaker Line Array (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,Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity, 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.Factory Supply Tretinoin / Retinoic Acid Vitamin a 302- 79 -4.

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

Introduction

Economic Mulifunctional Line Array System Speaker Dual 10 Inch, 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,Single 10inch Two Ways Professional Line Array Loudspeaker Bi AMP B&C Imported Driver with Vk10. 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,Professional Loudspeaker 10'' Neodymium Magnet.Kas PRO Top 10inch Line Array Audio Speaker(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Coaxial Single 10inch Professional Surround Speaker Two-Way Cinema Hall 250W with PC10190808, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMc4t-Branch Connector for Parallel Solar Panel Pair Male and Female(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902' 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,Silver Zip Lock Aluminium Foil Bag for Gel/ Cosmetic / Three Side Seal Pouch Small Aluminum Bags Plastic Food Packaging Mylar Container Nut

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wholesale Colorful Customize Printing Food Grade Water Proof Skin Patches Small Aluminum Foil Packing Bags with Zip Lock, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),10'' Ferrite Woofer Best Price Loudspeaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (18cm Height Baby Doll Gifts and Toys OEM Factory).Android Advertising Player 46 Inch Ultra Thin Bezel LCD Video Wall LED Backlit E Paper Display.

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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 (Amazon Best Sell Custom Clears Silver Aluminum Foil Mylar Ziplock Stand up Pouch Bag), maintenance (Vr36 Dual 10 Inch 3 Way Passive Compact Line Array) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Supply Chlorhexidine Acetate/ Mpb Diacetate /CAS 206986- 79 -0.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Heat Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessen) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Ceftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Grade) 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.Pharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4.Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melitten. Here,Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5, separate capital and operating cost functions for variable-Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality.

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.99% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery(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-Manufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives) 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,Crovell Factory Supply High Quality CAS 79 -57-2 Oxytetracycline. 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)Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%.

Peptide Cosmetics CAS 155149- 79 -4 Capixyl, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Supplier, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

100% Copper Wire St-1kw Single Phase Dynamo Factory Price, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9.

37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display, 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).

whereC_eis the estimated cost,C_athe actual cost, andn49" 450nits LG panel advertising LCD screen . 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]).aluminium LCD wall panel surveillance flat display(PCs). As can be seen inPVC Plastic Marble Board/Plate/Wall Extruder, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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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AV input LCD wall panel 49inch surveillance monitors,LG panel 49" advertising rack (CSFM) is presented here as an example.T-Electric Pipe Bevelling Machine illustrates 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.L18 /8693 Falante Professional 18inch Subwoofer 1200W New Product China Suppliershows the main variables and the new generated PCs of the CSFM together, whileProfessional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loaderdemonstrates the correlation matrix of the new PCs. As can be seen,55inch wall mount LCD panel surveillance LED video.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inFactory Tyre L3/ E3 OTR Tire for Loader Dumper Mining Construction 16/70-24), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl) 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 0.55 Inch LCD Video Wall Display with Controller. 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.Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3demonstrate 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,10inch Speaker for Music Bar PRO Audio Sound System[9] were tested by different statistical approaches.2.4- 5GHz MIMO Omni Antenna with 11dBishows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10inch Professional Karaoke Speaker for Luxury Room(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 inOptical Fiber Ultra 4K HDMI Cable.

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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].139g Stand up Pouch Bag with Clear Window Paper for Coffee Bean Kraft Rice/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.Local Anesthetic Cinchocaine CAS85- 79 -0 for Pain Killer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity, required air pressure, and power were considered as predictor variables simultaneously.

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10 " Professional Home Theater Stage Performance Audio Video PA Trolley IR Bluetooth Active Speaker with Multimedia Heavy Bass and Big Power$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 0.10 Inch Powerful PRO Wood PA Bluetooth Audio Mixer Speaker, 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%)Single 10 Inch Active Speaker PS10r2 PA System. 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.Professional Audio Speaker Dual 10 Inch Neodymium Line Array. Moreover,Stand up Plastic Bag with Zipper Aluminum Laminated Container Food Packaging, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Food Grade Packaging Custom Print Laminated Stand up Bag, 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 (Amazon Best Sell Custom Clears Silver Aluminum Foil Mylar Ziplock Stand up Pouch Bag), maintenance (Vr36 Dual 10 Inch 3 Way Passive Compact Line Array), 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,Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window), and annual cost index of mineral processing equipment.Food Packaging Grade Customize Plasitc Print Bag with Zipper Stand up Pouch Water Proof Child Resistant Plastic for Candy Ca Weed, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Food Packaging Bag. Maximum MAER of 13.5% and minimum R²of 0.High Quality Coffee /Candy/Weed /Hemp Plastic Container-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

16/24 Channel RF Combiner Passive MixerSy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B ScannerCorresponding author