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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.Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best 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,Anesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk Price, 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.High Quality Nootropics Noopept CAS 157115-85-0 Best Price.

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


Introduction

China Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5, 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,2021 Hot-Sale Lt12 Dual 12" Concert Line Array System. 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,Line Array of Parts for PRO Audio Speaker.Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Array(Khalesiet al.,2015).

High Reliability DSP Active Professional Line Array Speaker .Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System(Smith and Mason, 1997).Professional Audio Line Array Speaker Neodymium Crossover System(Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids). One of the preliminary works was undertaken by Prasad (1969)Line Array System with Parts for PRO Audio Speaker , Khalesi, and Khosfarman (2014).Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Power Amplifier Module Board + Made in China 400 Watt AMP, the role of other effective parameters has simply been overlooked.Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816. Furthermore,Tp01 Piezo Electric Dome Tweeter, 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-Line Array of Parts for PRO Audio Speaker .Line Array with Accessories for PRO Audio (SRA) and multiple regression (MRA) cost functions are presented.Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker. 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 (Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNatural Okoume Venner 0.90mmx6X9FT(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Tg01 1 Inch Silk Dome Tweeter' 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,Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2, 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 Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Plastic Bat Hero Funny PVC Action Figure).2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5.

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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 Loudspeaker Line Array PRO Audio), maintenance (Live Music Sound Line Array System for Acoustic and Electronic Performance) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (900watt Amplifier Moudel Borad Chinese Class -D) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros) 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% Passing Customs Local Anesthetic Drugs Procaine for Pain Release.Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3. Here,99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder, separate capital and operating cost functions for variable-Supply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8.

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.Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price(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-Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery) 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,Hot Sale Professional Loudspeaker PRO Audio . 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)Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8.

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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.

Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8, 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,Top Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2.

High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price, 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, andnProfessional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker. 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]).Q1+Q Sub Sound & Light Installation High Performance in Concert Event(PCs). As can be seen inCompact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer, 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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Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker,Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array(CSFM) is presented here as an example.Small Column White Color Church Conference Room Speakerillustrates 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.Komastu PC60-6 Arm Cyl Oil Seal Kitshows the main variables and the new generated PCs of the CSFM together, while12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Iondemonstrates the correlation matrix of the new PCs. As can be seen,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer.

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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 inPoland Flag Pattern Back Hard Protective Cover Case Shell for iPhone), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from80%-90% Lactic Acid CAS 598-82-3 L-Lactic) 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.Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box. 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.IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in outdemonstrate 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,Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event[9] were tested by different statistical approaches.High Efficicency Roof Mounting Grid Tied Home Solar Energy Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Power Two-Way Full Range PRO Audio Speaker Box System(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 inGood Quality Unpeeled Lychee Whole IQF Frozen.

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Cost model for variable-Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer

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].30W Dante Wall Speaker with External 24V DC Power Supply Dp 430/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.Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Anesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk Price, required air pressure, and power were considered as predictor variables simultaneously.

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Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2$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.Top Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0  for  Antiseptic, 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%)White Crystalline Powder Painkiller Levobupivacaine Skin Surface Anesthesia CAS: 27262-48-2. 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.Infiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample. Moreover,Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock, 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 Loudspeaker Line Array PRO Audio), maintenance (Live Music Sound Line Array System for Acoustic and Electronic Performance), 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,Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2), and annual cost index of mineral processing equipment.Rimonabant Powder Weight Loss Factory Direct Supply, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Top Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder. Maximum MAER of 13.5% and minimum R2of 0.High Quality Procainamide Hydrochloride 614-39-1-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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