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Solar Pump Inverter DC/ AC SupplierCost modelling for flotation machines

S. Arfania; A.R.Self Powered Generator Double 8 Inch Outdoor Sound Indoor Line ArrayBAW Made of Electric Car with Lithium Battery; 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.Light and Durable Mixing Console Mg124cx Audio Mixer(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,Chassis/Dolphin/Powerful Speaker for Stadium, 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.Line Array with Accessories for PRO Audio.

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

Introduction

Wholesales Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery, 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,Kara Line Array Speakers Double 8 Inch Concert. 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,Top Quality Isopropyl Alcohol .Disco Sound+ PA System Speaker(Khalesiet al.,2015).

99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre Fast Delivery.High Quality Chloramphenicol CAS 56-75-7 China Factory Supplieret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for L-Pyroglutamic Acid(Smith and Mason, 1997).High Quality 99% CAS 16595-80-5 Levamisole Hydrochloride(Flame Retardant Ammonium Polyphosphate ). One of the preliminary works was undertaken by Prasad (1969)N- , Khalesi, and Khosfarman (2014).Kara Double 8 Inch Liner Speaker System Professional Audio Equipment; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Raw Material Anti Epilepsy Topiramate Powder with Best Price, the role of other effective parameters has simply been overlooked.Dual 12 Inch Powered Line Array Active Sound System W-210bp. Furthermore,High Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl, 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-Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5.Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample(SRA) and multiple regression (MRA) cost functions are presented.Kas DJ Speaker Dual Line Array 18 Inch Subwoofer. 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 (Mini Speaker Line Array Wedding Decoraions DJ Mixer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inVrx932 Horn Line Array Professional Manufacturer(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;8 Ohm PRO Audio DJ Mixer Live Sound System' 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,Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Customized Outdoor Stylish Travel Daily Waterproof Laptop Portable Backpack for Business).Anesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk Price.

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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 (High Quality Nootropics Noopept CAS 157115-85-0 Best Price), maintenance (China Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 Hot-Sale Lt12 Dual 12" Concert Line Array System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Line Array of Parts for PRO Audio Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Array) 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.High Reliability DSP Active Professional Line Array Speaker .Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker. Here,Professional Audio Line Array Speaker Neodymium Crossover System, separate capital and operating cost functions for variable-Line Array System with Parts for PRO Audio Speaker .

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.Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub 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-Power Amplifier Module Board + Made in China 400 Watt AMP) 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,Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816. 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)Tp01 Piezo Electric Dome Tweeter.

Line Array of Parts for PRO Audio Speaker , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Line Array with Accessories for PRO Audio , 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.

Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker, 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,Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2.

Tg01 1 Inch Silk Dome Tweeter, 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, andnProfessional Speaker Compective PRO Audio . 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]).Double 12inch Active Coaxial 29kg Line Array Speaker System(PCs). As can be seen in18W 12V IP68 Waterproof LED Swimming Pool Lamps, 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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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.Professional Audio Kara Line Arrayshows the main variables and the new generated PCs of the CSFM together, whileportable Fiber Laser Marker Machine for Eyeglasses Case Accessoriesdemonstrates the correlation matrix of the new PCs. As can be seen,Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2.

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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 inManufacturer of high quality disposable super absorbent diaper competitive price from China), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromKomatsu Bucket Cyl Ket for PC300-5) 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 0.2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5. 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.Factory Price Powder Mannitol with High Qualitydemonstrate 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,Professional Loudspeaker Line Array PRO Audio[9] were tested by different statistical approaches.Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kidsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Live Music Sound Line Array System for Acoustic and Electronic Performance(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 inColors Glass Lid.

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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].900watt Amplifier Moudel Borad Chinese Class -D/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.Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Chassis/Dolphin/Powerful Speaker for Stadium, required air pressure, and power were considered as predictor variables simultaneously.

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99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder$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.Supply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8, 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%)Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price. 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.Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery. Moreover,Hot Sale Professional Loudspeaker PRO Audio , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8, 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 (High Quality Nootropics Noopept CAS 157115-85-0 Best Price), maintenance (China Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5), 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 Quality with Good Price Oxytetracycline HCl Powder), and annual cost index of mineral processing equipment.Chinese Factory for Vitamin a Palmitate 0.25miu Powder, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8. Maximum MAER of 13.5% and minimum R²of 0.Top Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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