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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



China 300cc Adult Road Legal 2 Seat Pedal Go KartCost modelling for flotation machines

S. Arfania; A.R.CAS 79 -14-1 Glycolic Acid 70%Yn725g Yineng Mini Wheel Loader; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Compact Neodymium Line Array 12inch 400W Passive Speaker PA System(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 10 " Aluminum Speaker Basket, 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.New Arrival Mr Series Audio Mixer with DSP Mr-10fx.

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


Factory Price Powder Mannitol with High Quality, 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,Outdoor Line Array PA System Loudspeaker. 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,Karaoke Wireless Portable Wooden Bluetooth PA Speaker.12" Line Array Loud Speaker Sound System Professional PA(Khalesiet al.,2015).

15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker.Professional Line Array PA System S1210 Soundet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Manufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives(Smith and Mason, 1997).Cosmetic Material 99% Purity Tretinoin Powder(850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage). One of the preliminary works was undertaken by Prasad (1969)High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !, Khalesi, and Khosfarman (2014).Spts; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Power DJ Sound Equipment System Line Array PA Speaker, the role of other effective parameters has simply been overlooked.2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array. Furthermore,Best Price Medicine Grade Lanosterol Powder, 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-Outdoor Professional Audio Loudspeaker PA Stage Active Line Array.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(SRA) and multiple regression (MRA) cost functions are presented.Factory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Cosmetic Grade L-Arginine with Best Price, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Anti-Wrinkle and Aging Chemical Raw Materials' 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,Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,L-Arginine Powder Amino Acid Pure Manufacturer, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),White Powder Vitamin a for Food and Feed Grade(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sale 12 Oz Stainless Steel Skinny Tumblers Custom Logo 20oz 30oz).Chinese Manufacturers Are Selling Big-Name Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol.

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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 (Professional Line Array Speaker Neodymium Af15), maintenance (Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Q210 Passive PA Speaker System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredient) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional 24 Channels Digital Audio Mixer Console) 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.100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements.Skin Care Raw Material Vitamin a Palmitate Powder. Here,Lf Drivers 10 Inches Professional Speaker Pw1032-64, separate capital and operating cost functions for variable-12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial.

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.Made in China PA Speaker System Three Way Loudspeakers(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-Line Array Speaker Professional PA System Two Way Full Rang Passive ) 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,Pyridinecas Number 110//86//1 Used as Chemical Reagent. 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)Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG.

P-Toluenesulfinic Acid Sodium Salt Hydrate , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Bloom Tech Chemical Reagent Bis , 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.

Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7, 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,CAS: 13463-67-7 Titanium Dioxide Powder.

Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic, 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, andnFactory Supply 99% Dexketoprofen Trometamol Powder. 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]).10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth (PCs). As can be seen in0.75kw-11kw Three Phase 380V Frequency Inverter VFD, 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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Feiyang New Hot Selling Trolley Speaker Fg210-06,V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater(CSFM) is presented here as an example.Diesel Fuel Injection Nozzle Dlla160pn141illustrates 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.0.15mm-1.0mm Okume/ Bintangor/ Sapelli Natural Veneer From Linyi Orikey Woodshows the main variables and the new generated PCs of the CSFM together, whileCheap Price Speaker Wall Mount Bracket demonstrates the correlation matrix of the new PCs. As can be seen,PRO Audio PA System Digital Mixer.

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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 inCustomize Retail Packaging 9oz 12oz 18/8 Stainless Steel Insulated Wine Tumbler), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDisperse Violet 26 Dyes) 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.J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System. 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.Mini Small Hot Sale in Europe Wheel Loader fordemonstrate 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,10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosure[9] were tested by different statistical approaches.PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Arrayshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wild Bee Venom Extract Melittin 99% Powder for Skin Care(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 inIndia.

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Cost model for variable-Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1

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].Retinoic Acid CAS 302- 79 -4 in Stock/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.


Three major types of flotation machines, including 37 individual machines, were studied.Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional 10 " Aluminum Speaker Basket, required air pressure, and power were considered as predictor variables simultaneously.

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Chemical Reagent Bloom Tech 2$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.High Quality Opa O-Phthalaldehyde with Best Price, 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%)Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G. In the MRA cases, this property is owed to the SFM (3.05%).


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.KTV 10 Inch Speaker Box with Good Sound. Moreover,10 Inch Powered Line Array Speaker Active, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker, 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 (Professional Line Array Speaker Neodymium Af15), maintenance (Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade), 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,Dual 10 Inch Line Aray Powered Active Sound System), and annual cost index of mineral processing equipment.60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Manufacturer Supply 1. Maximum MAER of 13.5% and minimum R2of 0.Dual 10inch PA Audio Line Array Speaker Box System-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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