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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

Chinese 300cc Cheap Farm Gas Trike Cost modelling for flotation machines

S. Arfania; A.R.Effects Night Club Bluetooth Powered Speaker Pofessional PA Line ArrayProfessional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA Speaker; 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.High Reliability DSP Active Professional Line Array 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,Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker, 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.Professional Audio Line Array Speaker Neodymium Crossover System.

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


Introduction

Line Array System with Parts for PRO Audio Speaker , 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,Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System. 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,Power Amplifier Module Board + Made in China 400 Watt AMP.Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816(Khalesiet al.,2015).

Tp01 Piezo Electric Dome Tweeter.Line Array of Parts for PRO Audio Speaker et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 6mm Raw Plain MDF ISO9001/ Carb for Decoration(Smith and Mason, 1997).Line Array with Accessories for PRO Audio (Small Fquequency Inverter/Converter for Mini Motor). One of the preliminary works was undertaken by Prasad (1969)Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker, Khalesi, and Khosfarman (2014).Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Tg01 1 Inch Silk Dome Tweeter, the role of other effective parameters has simply been overlooked.Professional Speaker Compective PRO Audio . Furthermore,Double 12inch Active Coaxial 29kg Line Array Speaker System, 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-Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor.Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant(SRA) and multiple regression (MRA) cost functions are presented.Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5. 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 (Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Factory Price CAS 702- 79 -4 1(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),100% Passing Customs Local Anesthetic Drugs Procaine for Pain Release(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (11oz Glazed Porcelain Mug of Syb055).Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3.

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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 (99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder), maintenance (Supply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sale Professional Loudspeaker PRO Audio ) 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.Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8.High Quality with Good Price Oxytetracycline HCl Powder. Here,Chinese Factory for Vitamin a Palmitate 0.25miu Powder, separate capital and operating cost functions for variable-Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8.

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.Top Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2(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-High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price) 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 Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker. 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)Q1+Q Sub Sound & Light Installation High Performance in Concert Event.

Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker, 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.

Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array, 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,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer.

Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer, 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, andnQg-12-12 Inch Professional Full Range PRO Audio Speaker Box. 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]).Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event(PCs). As can be seen in24kVA St Series Single Phase Generator , 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 Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer,30W Dante Wall Speaker with External 24V DC Power Supply Dp 430(CSFM) is presented here as an example.18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywoodillustrates 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.Professional Audio Powerful High Compact Line Array Speaker Best Lq10shows the main variables and the new generated PCs of the CSFM together, whileHigh Purity 99.0%Min. Ademetionine Disulfate Tosylate demonstrates the correlation matrix of the new PCs. As can be seen,Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer.

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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 inRFID Reader for Access Control and Time Attendance Management), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPipo X8 Mini PC Smart TV Box) 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.Rental Application Stage Monitor Audio&Sets. 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.Manufacture High Quality PLA Silk Color Masterbatchdemonstrate 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,Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2[9] were tested by different statistical approaches.Manufacturers Supply shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Top Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0  for  Antiseptic(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 inNew Hot Selling Toys Action Figures Custom Anime Figure Toy.

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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].Infiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample/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.Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker, required air pressure, and power were considered as predictor variables simultaneously.

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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 Grade Anesthetic Powder Bupivacaine Brazil Warehouse CAS: 14252-80-3. Moreover,PA Horn Loaded Speaker Professional Loudspeaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club, 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 (99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder), maintenance (Supply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8), 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,Professional Audio Powerful High Compact Line Array Speaker Best Lq10), and annual cost index of mineral processing equipment.GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Top Quality Benzocaine / HCl CAS 23239-88-5. Maximum MAER of 13.5% and minimum R2of 0.Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6-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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