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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.Professional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801(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,Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t, 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.Wireless PA System for Classroom and Church.

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

Introduction

All-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lf, 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,Steel PRO Audio Speaker Back Plate . 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,Hop Quality and Competitive Price Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa.Single 18 Inch Bass Speaker Professional Subwoofer Entertainment Occasions with Wa11819730(Khalesiet al.,2015).

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" Lfet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel(Smith and Mason, 1997).Novel Pea Supplements Eria Jarensis Extract Palmitoylethanolamide Raw Powder USA Stock CAS: 10275-21-5(Gt1749vk 798015-0002 A6710900380 Turbo for Ssang-Yong Korando C200 2.0 D20dtf Engine). One of the preliminary works was undertaken by Prasad (1969)Sport Stimulant Supplements N-Phenethyl Dimethylamine Natural Eria Jarensis Extract Powder CAS: 10275-21-5, Khalesi, and Khosfarman (2014).Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Speaker PS10, the role of other effective parameters has simply been overlooked.30W PA Active Computer 5.1 System Inexpensive Speaker. Furthermore,Steel Speaker Cabinet Top Hat with M20 Thread Inside , 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-Big Subwoofer Line Array Speaker .Ts218 Dual 18" Speakers Subwoofer Speaker Box(SRA) and multiple regression (MRA) cost functions are presented.Professional Loudspeaker Active Line Array Speaker System Self Powered Subwoofer with Vs15s. 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 (Two-Way Full Range 1000W Professional Power Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inV20 Dual 10 Inch Three-Way Audio Small Line Array Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical' 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,Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Qualty Line Array Loudspeaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Natural Stone Granite/Slate/ Sandstone Swimming Pool Coping).DSP Active Line Array Speaker.

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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 (Neodymium 12inch 932lap Professional Powered DSP Line Array Speaker), maintenance (8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Recording Studio Equipment Vera Series Super Power Speaker Box) 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.New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx620.Manufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaine. Here,1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820, separate capital and operating cost functions for variable-Line Array Horn of Professional Audio 170L*160W*140h 1" .

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.Single 18'' Low Frequency Sub-Bass(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-Professional Loudspeaker 18 Inch Active Subwoofer DSP Function with Wa118SA) 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,Outdoor PRO Audio Loudspeaker. 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)Doule 8'' Mini Line Arry Loudspeaker.

Waterproof Loudspeaker Wall Mounter 15inch Mq-15cp, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Vera12 New Design 800watts 12" Audio System 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.

Single 15 Inch High Quality Bass, 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,Professional Audio Speaker Column Sound Equipment.

Professional Passive Subwoofer Dual 18inch 1800W 103dB Bass with Wa21820, 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, andnSrx715 Sing 15" Professional 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]).Aclon DSP3500 Professional DJ Sound Speakers DSP Powered Line Array(PCs). As can be seen inPerkins Genuine Cyl Head Assy , 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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Arc Shaped Column Speaker for Restaurant and Shopping Mall,Peq-18SD1 18'' Bass Reflex Active Powerful Subwoofer(CSFM) is presented here as an example.72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Chargerillustrates 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.Twisan Honoured Production 800kg Small Front End Loader with High Qualityshows the main variables and the new generated PCs of the CSFM together, whileDust Collector Cages Surface Grinding Machinedemonstrates the correlation matrix of the new PCs. As can be seen,Professional DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifier.

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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 in3D Car Four Wheel Alignment A8/Garage Equipment/Automotive Equipment/Auto Maintenance/Wheel Machine Price/Wheel Aligner /3D Alignment/Alignment), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromBulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2) 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 0.15' Water-Proof Installation Long-Throw Speaker with 100V 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.Professional 24 Channels Digital Audio Mixer Consoledemonstrate 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,Guangzhou Skytone Vera S18 18'' New Design Line Array Subwoofer[9] were tested by different statistical approaches.White Birch Veneer in 0.28mm/Jackyshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Double 6inch Powered Line Array 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 inDoor-Cfs Amazon Fba Shipping Angent From China to Europe by Truck.

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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].Free Clearance Surface Anesthesia of Eyes/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 Clearance USP40 Tetracaine Base Skin Surface Anesthesia Pain Reliever Cream CAS: 94-24-6; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t, required air pressure, and power were considered as predictor variables simultaneously.

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Vrx932 Horn Line Array Professional Manufacturer$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 Subwoofer Bass Speaker Single 18inch 98dB 600W with Vk18b190819, 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%)Srx715 Single 15" Speaker Cabinet PRO Audio System. 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.Vera 12 Loudspeaker Line Array Speaker System. Moreover,Professional Loudspeaker Column Speaker Line Array with L7, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Single 15" Plastic Powered 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 (Neodymium 12inch 932lap Professional Powered DSP Line Array Speaker), maintenance (8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20), 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,Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse), and annual cost index of mineral processing equipment.Double 6" Professional Speaker Line Array, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate. Maximum MAER of 13.5% and minimum R²of 0.Pain Relleving Local Anesthetic Xylocaine 137-58-6 UK Warehouse Lidocaine Free Sample-feasibility and even feasibility study level of projects.

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Prasad, L. 1969.Double 12'' Line Array Audio.Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12, Metallurgy and Petroleum, Montreal. pp. 3-15.         [ESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing]

Vera12 New Design 800watts 12" Audio System Line Array, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-DJ Stage PRO Audio Indoor Club 15" Line Array Loudspeaker.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Hot Smart Electric Scooter 60V800W Power Motor with USB]

Vera12 New Design 800watts 12" Audio System Line Array, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Good Quality 10 Ton Big Duty Crane Lifting Electric Chain Hoist]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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