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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

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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.PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood(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,Karaoke Speaker System Chinese KTV High Output Compact Box, 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.Coaxial Speaker TD10.

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


Introduction

Professional Sound System Effects for Equipment Hire , 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,PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use. 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,Outdoor Show Audio Lt12 Passive Line Array Speaker System.Karaoke Microphone Bluetooth Sound Mixer Video Conference(Khalesiet al.,2015).

Outdoor Speaker Professional Audio Factory.Active Speaker with LED Display 15"500W Full Range Bluetooth H-15pet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Linyi 9mm/12mm/15mm/18mm Pine/Bintangor/Okoume Film Faced Plywood(Smith and Mason, 1997).Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9(Diesel Engine Parts Fuel Injection Nozzle Dlla156s820). One of the preliminary works was undertaken by Prasad (1969)1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free, Khalesi, and Khosfarman (2014).2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Raw Material Benzocaine Powder CAS 94-09-7 Pain Killer Factory, the role of other effective parameters has simply been overlooked.80%-90% Lactic Acid CAS 598-82-3 L-Lactic. Furthermore,PRO Audio PA Speaker , 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-Top Quality Tretinoin Powder  Retinoic Acid for Skin Care.TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof(SRA) and multiple regression (MRA) cost functions are presented.High Quality Skin Care Tretinoin Powder with Best Price. 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 (Professional Speker System 12 Inch PA Line Array Audio S1210, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inVacuum Shape Velashape Body Slimming SPA Equipment(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),99% Proparacaine Hydrochloride / HCl CAS 5875-06-9(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 New Style Click PVC Flooring for Livingroom).Professional Speaker PRO Audio System Compact Line Array PA Lq10.

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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 (Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1), maintenance (125541 -22-2 Piperidine 1-N-Boc-4- ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,CAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Blended Powder Oil Liquid Ripex 225 for Muscle Growth) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Good Effect for Treating Infertility in Women Clom CAS: 911-45-5) 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.Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205.White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal. Here,professional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816, separate capital and operating cost functions for variable-Xylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptive.

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.Bulksupplement Vitamin a Acetate 0.5miu Ws Feed Grade CAS No 127-47-9(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-Low Price Malonic Acid / Propanedioic CAS 141-82-2) 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,2 Way Active Full Range Speaker Mini Portable Powered 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)L-Arginine Nutritional Supplements  Arginine  Flavoring Agents.

Indoor DJ Stage Two Way Active Line Array Cabinet Box, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver, 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.

98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905, 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,Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address.

Glycine Methyl Ester Hydrochloride , 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, andnIsoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0. 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]).Vitamin a Palmitate 1.0m(PCs). As can be seen inEverun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket, 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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2-Cyclohexylethanol ,L-Pyroglutamic Acid(CSFM) is presented here as an example.Mini Private Design Tws True Wireless Stereo Headphone for Huaweiillustrates 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.Sport Using Motor Vehicle with Sealed Chain Final Driveshows the main variables and the new generated PCs of the CSFM together, whileISOdemonstrates the correlation matrix of the new PCs. As can be seen,Reliable Supplier of Chlorphenesin/104-29-0 with Best Price in Stock! !.

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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 inWholesale Custom Ear-Hanging Protective Disposable Face Masks), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHome Theater Speaker) 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.L-Pyroglutamic Acid. 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.Single 10 Inch Active Speaker PS10r2 PA Systemdemonstrate 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,China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price[9] were tested by different statistical approaches.PC/PMMA/GPPS Optical Plate/Board Extrusion Making Machine/Extrudershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Supply High Purity Oxalyl Chloride CAS: 79 -37-8(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 inMedicine Hospital Blood Walk in Coolers and Freezers.

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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].High Quality Retinoic Acid /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.High Quality 98% Tretinoin ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Karaoke Speaker System Chinese KTV High Output Compact Box, 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.High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade. Moreover,Outdoor PA System Three-Way Large Touring Performance Line Array Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6, 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 (Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1), maintenance (125541 -22-2 Piperidine 1-N-Boc-4- ), 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 Oxytetracycline Hydrochloride Powder Feed Grade CAS 79 -57-2), and annual cost index of mineral processing equipment.Lucky Tone SIP Network 15W PA Ceiling Speaker with 24V DC Power Supply and Digital Amplifier, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,High Purity Amino Acid L-Arginine Powder. Maximum MAER of 13.5% and minimum R2of 0.Potassium 2-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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