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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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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.China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price(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,Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception, 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.Safe Shipping Sarms Powder ACP-105.

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


Introduction

99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price, 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,Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin . 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,Shiny Fenacetin Crystal and Non Powder.Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1(Khalesiet al.,2015).

Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6.BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Dispersing Plastic Antistatic Black Color Masterbatch with PP/PS/PE/ABS/HDPE/LDPE for Packaging Product Material(Smith and Mason, 1997).Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk(Factory Supply Diclofenac Sodium Powder). One of the preliminary works was undertaken by Prasad (1969)Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1, Khalesi, and Khosfarman (2014).Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Hot Sell Isopropyl Alcohol 99.9%, the role of other effective parameters has simply been overlooked.Speaker Wall Bracket White/Black . Furthermore,High Security Door Peephole Eyes Viewer DV3828b , 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 Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder.Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3(SRA) and multiple regression (MRA) cost functions are presented.Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery. 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 (White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8' 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 Dimethyl 2

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Overseas Warehouse Fast Delivery Organic Chemicals (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hamburger Patty Forming Machine).China Ethyl 2-Bromovalerate Liquid CAS 615-83-8.

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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 (Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks), maintenance (Factory Supply Ethyl Valerate CAS 539-82-2) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Organic Chemicals Pharmaceutical Intermediate .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (4'' Installation Professional Waterproof Speaker) 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.Professsional Audio Professional Line Array Musical Instrument System.Vera12 Single 12" The Most Economical Line Array Sound System. Here,180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820, separate capital and operating cost functions for variable-4 Inch Waterproof Installation Professional Speaker with 100V Fdb Audio.

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.Alu. Speaker Mount Wall Bracket (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-Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV) 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,High Quality 8'' Coaxial Audio Speaker for Long Throw Distance. 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)Wall Mount Speaker Bracket .

Professional Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801, 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.

Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t, 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,Wireless PA System for Classroom and Church.

All-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lf, 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, andnSteel PRO Audio Speaker Back Plate . 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]).Hop Quality and Competitive Price Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa(PCs). As can be seen inWholesale 1.5 mm Natural Bamboo Skateboard Veneer with Best Price, 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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Dual 8inch Two-Way Line Array Loudspeaker Bi AMP B&C Speaker Unit Ease Function with Vk20819729,All-Weather Compact 2-Way Coaxial Loudspeaker with 6" Lf(CSFM) is presented here as an example.Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Ktillustrates 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.China Suppliers Alone Type Wraped Beam Disc Machenism Padlockshows the main variables and the new generated PCs of the CSFM together, whileVat Violet 13demonstrates the correlation matrix of the new PCs. As can be seen,Novel Pea Supplements Eria Jarensis Extract Palmitoylethanolamide Raw Powder USA Stock CAS: 10275-21-5.

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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 inU-Disk Self-Service Rifd Card Push Button Sliding Glass Door Lock with Keypad), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromVFD Air Compressor Asynchronous Variable Frequency Drive) 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.Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer. 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.Gt1544sm 733783-5007s Turbo for Volkswagen Fox 1.4L Tdi Engine Bnmdemonstrate 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,Speaker PS10[9] were tested by different statistical approaches.Manufacture! OEM Komatsu PC50uu-2 Bucket Cyl Seal Ketshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.30W PA Active Computer 5.1 System Inexpensive Speaker(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 inOutdoor Waterproof Yoosee APP 1080P IP Wireless WiFi Camera.

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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].Big Subwoofer Line Array Speaker /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.Ts218 Dual 18" Speakers Subwoofer Speaker Box; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception, required air pressure, and power were considered as predictor variables simultaneously.

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CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical$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.Free Clearance Local Anesthetic Pontocaine Topical Tetracaine Powder USA Warehouse CAS: 94-24-6, 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 Factory Supply Valerophenone CAS 1009-14-9 High Quality and Safety Guarantee 1009 14 9 / 1009149. 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.Long Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse. Moreover,CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6, 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 (Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks), maintenance (Factory Supply Ethyl Valerate CAS 539-82-2), 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,Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c), and annual cost index of mineral processing equipment.High Qualty Line Array Loudspeaker, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,DSP Active Line Array Speaker. Maximum MAER of 13.5% and minimum R2of 0.Neodymium 12inch 932lap Professional Powered DSP Line Array Speaker-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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