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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.Dual 10inch Professional PRO Audio Speaker 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,10 " PRO Audio DJ Line Array Speaker Equipment System, 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.Wholesale Factory Price CAS: 16648-44-5 BMK Glycidate Powder.

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

Introduction

Buy Real Pharmaceutical Intermediates BMK Glycidate Powder 16648-44-5, 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,10 " PRO Sound PA Line Array Loudspeaker Audio Speaker 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,Big Outdoor Sound Equipment Active Dual 8" Line Array Speaker.Professional Powered Line Array Selfpowered Speakers Active System(Khalesiet al.,2015).

MBN1503 PA Woofer .Best Quality BMK Glycidate Raw Materials Fororganic Intermediates Bulk Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Bio-Degradable Brown Kraft Food Packaging Bag(Smith and Mason, 1997).Self Powered Generator Double 8 Inch Outdoor Sound Indoor Line Array(800W Fashion Power Motorcycle Cheap Electric). One of the preliminary works was undertaken by Prasad (1969)Light and Durable Mixing Console Mg124cx Audio Mixer, Khalesi, and Khosfarman (2014).Chassis/Dolphin/Powerful Speaker for Stadium; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Line Array with Accessories for PRO Audio, the role of other effective parameters has simply been overlooked.Wholesales Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery. Furthermore,Kara Line Array Speakers Double 8 Inch Concert, 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-Top Quality Isopropyl Alcohol .Disco Sound+ PA System Speaker(SRA) and multiple regression (MRA) cost functions are presented.99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre 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 (High Quality Chloramphenicol CAS 56-75-7 China Factory Supplier, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Audio Speaker Dual 10 Inch 3 Way Line Array System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality 99% CAS 16595-80-5 Levamisole Hydrochloride' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Stainless steel health beer sampling valve).Kas DJ Speaker Dual Line Array 18 Inch Subwoofer.

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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 (Mini Speaker Line Array Wedding Decoraions DJ Mixer), maintenance (8 Ohm PRO Audio DJ Mixer Live Sound System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Stage Line Array System Dual 15'' Self-Powered Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Topiramate) 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.99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3.Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3. Here,Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5, separate capital and operating cost functions for variable-Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price.

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.Anesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk 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-High Quality Nootropics Noopept CAS 157115-85-0 Best Price) 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,China Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5. 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)2021 Hot-Sale Lt12 Dual 12" Concert Line Array System.

Line Array of Parts for PRO Audio Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Array, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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 Reliability DSP Active Professional Line Array Speaker , 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker.

Professional Audio Line Array Speaker Neodymium Crossover System, 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).

whereC_eis the estimated cost,C_athe actual cost, andnLine Array System with Parts for PRO Audio 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]).Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System(PCs). As can be seen inSolar Pump Inverter DC/ AC Supplier, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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 Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816,Tp01 Piezo Electric Dome Tweeter(CSFM) is presented here as an example.Flame Retardant Ammonium Polyphosphate illustrates 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.Vrx932 Horn Line Array Professional Manufacturershows the main variables and the new generated PCs of the CSFM together, whileWireless Headphone Tws Bluetooth Earphone for Phonedemonstrates the correlation matrix of the new PCs. As can be seen,Line Array of Parts for PRO Audio 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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inTungsten Carbide Dies Mold), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump) 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.Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker. 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.portable Fiber Laser Marker Machine for Eyeglasses Case Accessoriesdemonstrate 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,Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2[9] were tested by different statistical approaches.Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Enclosure AS3912T-90shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Tg01 1 Inch Silk Dome Tweeter(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 inWaterproof Dustproof Panel Mounted Socket.

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Cost model for variable-Professional Speaker Compective PRO Audio

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].Double 12inch Active Coaxial 29kg Line Array Speaker 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.Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,10 " PRO Audio DJ Line Array Speaker Equipment System, required air pressure, and power were considered as predictor variables simultaneously.

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Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2$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 Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9, 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%)2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5. 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.Professional Loudspeaker Line Array PRO Audio. Moreover,Live Music Sound Line Array System for Acoustic and Electronic Performance, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use, 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 (Mini Speaker Line Array Wedding Decoraions DJ Mixer), maintenance (8 Ohm PRO Audio DJ Mixer Live Sound System), 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,900watt Amplifier Moudel Borad Chinese Class -D), and annual cost index of mineral processing equipment.Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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