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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.Good Effect for Treating Infertility in Women Clom CAS: 911-45-5(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,Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205, 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.White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal.

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


Introduction

professional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816, 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,Xylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptive. 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,Bulksupplement Vitamin a Acetate 0.5miu Ws Feed Grade CAS No 127-47-9.Low Price Malonic Acid / Propanedioic CAS 141-82-2(Khalesiet al.,2015).

2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker.L-Arginine Nutritional Supplements  Arginine  Flavoring Agentset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 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(Smith and Mason, 1997).Indoor DJ Stage Two Way Active Line Array Cabinet Box(7.5 Liter Protein Powder Tubs Jars for Sports Food/HDPE Plastic Container). One of the preliminary works was undertaken by Prasad (1969)PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver, Khalesi, and Khosfarman (2014).98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address, the role of other effective parameters has simply been overlooked.Glycine Methyl Ester Hydrochloride . Furthermore,Isoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0, 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-Vitamin a Palmitate 1.0m.High Purity 99% Oxalyl Chloride with Good Quality(SRA) and multiple regression (MRA) cost functions are presented.2-Cyclohexylethanol . 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 (L-Pyroglutamic Acid, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Reliable Supplier of Chlorphenesin/104-29-0 with Best Price in Stock! !' 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,Fatory Supply Thiosemicarbazide CAS 79 -19-6

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Quality Retinoic Acid , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality 98% Tretinoin (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Car Wheel Aligner A9/Tire Changer/Garage Equipment/Automotive Equipment/Wheel Balancer/Auto Maintenance/Wheel Alignment Machine Price/Wheel).Selling Dibucaine Hydrochloride/Dibucaine HCl CAS 61-12-1 with Best 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 (Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier), maintenance (Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Rifamycin S 96% CAS: 13553- 79 -2.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Audio Speaker System Sing 8 Inch Mini Stage Monitor PS8r2) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic 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.Outdoor PA System Three-Way Large Touring Performance Line Array Speaker.Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6. Here,High Quality Oxytetracycline Hydrochloride Powder Feed Grade CAS 79 -57-2, separate capital and operating cost functions for variable-Lucky Tone SIP Network 15W PA Ceiling Speaker with 24V DC Power Supply and Digital Amplifier.

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.High Purity Amino Acid L-Arginine Powder(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-Potassium 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,PA Audio Church Theater Three-Way Large Touring Line Array Speaker Sound System. 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)Professional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2.

Factory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2, 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.

Professional Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2, 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 Speaker System Single 15 Inch High Power Line Array Aw15.

PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio, 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, andnSinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Powered. 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]).Hench Hot Sales Raw Material Powder Oxytetracycline(PCs). As can be seen inInverter with Factory Price 3 Phase 60Hz to 50Hz 380V Variable Frequency Drive, 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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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.Diesel Engine Parts Fuel Injection Nozzle Dlla149sm304shows the main variables and the new generated PCs of the CSFM together, whileCe Certification Plastic PP Blue Color Masterbatchdemonstrates the correlation matrix of the new PCs. As can be seen,High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates.

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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 in3 Outlets Extension Socket with Light for Southeast), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSelf Powered Generator Double 8 Inch Outdoor Sound Indoor Line Array) 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.Food Additives L-Arginine with Low Price. 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.Outdoor Speaker Dual 10 Inch Line Arraydemonstrate 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,Latest Product Powder 2-Phenylbenzimidazole Chemical Raw Material[9] were tested by different statistical approaches.0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loadershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Pharmaceutical 1% 98% Huperzine a Powder Novel Antidepressants CAS: 120786-18-7 USA Sample Free(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 inLargeteck 5W LED Light Solar Garden Soalr Lawn.

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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].China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3/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.Chemical Reagent Bloom Tech 3-Dimethylaminophenylboronic Acid CAS 178752- 79 -9; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205, required air pressure, and power were considered as predictor variables simultaneously.

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Bloom Tech Chemical Material Topiramate CAS 97240- 79 -4$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 0.100% Water Soluble Vitamin a Palmitate Powder Retinyl, 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%)China Supplier of CAS 702- 79 -4 1. 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.Free Sample CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized Powder. Moreover,High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (CAS 79 -57-2 Oxytetracycline, 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 (Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier), maintenance (Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free), 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,Azd3759 CAS No. 1626387-81-2), and annual cost index of mineral processing equipment.Food Additives L-Arginine with Top Quality, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3. Maximum MAER of 13.5% and minimum R2of 0.99% Purity 1-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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Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under aRaw Material 99% Tretinoin Powder/Retinoic Acid CAS 302- 79 -4