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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

GENERAL PAPERS

Mini Private Design Tws True Wireless Stereo Headphone for HuaweiCost modelling for flotation machines

S. Arfania; A.R.80%-90% Lactic Acid CAS 598-82-3 L-LacticSport Using Motor Vehicle with Sealed Chain Final Drive; 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.PRO Audio PA 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,Top Quality Tretinoin Powder  Retinoic Acid for Skin Care, 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.TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof.

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


Introduction

High Quality Skin Care Tretinoin Powder with Best 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,Professional Speker System 12 Inch PA Line Array Audio S1210. 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,Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36.Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch(Khalesiet al.,2015).

Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate.Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector(Smith and Mason, 1997).Passive Single 12'' Line Array Loudspeaker Sound System(ISO). One of the preliminary works was undertaken by Prasad (1969)TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Address, Khalesi, and Khosfarman (2014).TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,99% Proparacaine Hydrochloride / HCl CAS 5875-06-9, the role of other effective parameters has simply been overlooked.Professional Speaker PRO Audio System Compact Line Array PA Lq10. Furthermore,Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1, 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-125541 -22-2 Piperidine 1-N-Boc-4- .CAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside(SRA) and multiple regression (MRA) cost functions are presented.Blended Powder Oil Liquid Ripex 225 for Muscle Growth. 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 (Good Effect for Treating Infertility in Women Clom CAS: 911-45-5, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMotor Auto Hydraulic Open Three Wheel Motorcycle for Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205' 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,Low Price Malonic Acid / Propanedioic CAS 141-82-2

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),L-Arginine Nutritional Supplements  Arginine  Flavoring Agents(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hongfa Alc Panels Automatic Lightweight AAC Block Production Line in Building Material Machinery).Indoor DJ Stage Two Way Active Line Array Cabinet Box.

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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 (PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver), maintenance (98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Glycine Methyl Ester Hydrochloride ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Isoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0) 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.Vitamin a Palmitate 1.0m.High Purity 99% Oxalyl Chloride with Good Quality. Here,2-Cyclohexylethanol , separate capital and operating cost functions for variable-L-Pyroglutamic Acid.

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.Reliable Supplier of Chlorphenesin/104-29-0 with Best Price in Stock! !(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-Vitamin a Palmitate Powder 500 Cws-Gfp) 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,L-Pyroglutamic Acid. 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)China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price.

Supply High Purity Oxalyl Chloride CAS: 79 -37-8, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Fatory Supply Thiosemicarbazide CAS 79 -19-6, 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.

High Quality Retinoic Acid , 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,High Quality 98% Tretinoin .

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whereCeis the estimated cost,Cathe actual cost, andnSugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier. 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]).Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free(PCs). As can be seen inHome Theater Speaker, 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 Speaker System Sing 8 Inch Mini Stage Monitor PS8r2,High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade(CSFM) is presented here as an example.Single 10 Inch Active Speaker PS10r2 PA Systemillustrates 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.PC/PMMA/GPPS Optical Plate/Board Extrusion Making Machine/Extrudershows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1demonstrates the correlation matrix of the new PCs. As can be seen,Outdoor PA System Three-Way Large Touring Performance Line Array Speaker.

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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 in28V 10A PC power adapter 280W DC supply), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket) 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.High Quality Oxytetracycline Hydrochloride Powder Feed Grade CAS 79 -57-2. 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.Inverter with Factory Price 3 Phase 60Hz to 50Hz 380V Variable Frequency Drivedemonstrate 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,Lucky Tone SIP Network 15W PA Ceiling Speaker with 24V DC Power Supply and Digital Amplifier[9] were tested by different statistical approaches.Massage Bathtubshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Purity Amino Acid L-Arginine Powder(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 inFlat Pack Work Bench 2 Tier with Undershelf & Splashback.

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Cost model for variable-Potassium 2

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].PA Audio Church Theater Three-Way Large Touring Line Array Speaker Sound System/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.Professional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Top Quality Tretinoin Powder  Retinoic Acid for Skin Care, required air pressure, and power were considered as predictor variables simultaneously.

Factory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0. Moreover, the operating cost was detailed in different cost items.Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2, indicated inCe Certification Plastic PP Blue Color Masterbatch, and major extrapolation should be avoided.

Professional Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2$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.Professional Speaker System Single 15 Inch High Power Line Array Aw15, 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%)PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio. 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.Sinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Powered. Moreover,Hench Hot Sales Raw Material Powder Oxytetracycline, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1020, 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 (PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver), maintenance (98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905), 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,Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free), and annual cost index of mineral processing equipment.Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates. Maximum MAER of 13.5% and minimum R2of 0.2-Aminoanthraquinone CAS No 117- 79 -3-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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