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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.Wall Mount Speaker Bracket (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,Professional Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801, 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.Professional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801.

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

Introduction

Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t, 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,Wireless PA System for Classroom and Church. 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,All-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lf.Steel PRO Audio Speaker Back Plate (Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Ts218 Dual 18" Speakers Subwoofer Speaker Box, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGt1749vk 798015-0002 A6710900380 Turbo for Ssang-Yong Korando C200 2.0 D20dtf Engine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Loudspeaker Active Line Array Speaker System Self Powered Subwoofer with Vs15s' 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,Long Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Disposable cloth-like baby diaper with Juice paper).Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c.

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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 (High Qualty Line Array Loudspeaker), maintenance (DSP Active Line Array Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Neodymium 12inch 932lap Professional Powered DSP Line Array Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220) 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 Tx820.Recording Studio Equipment Vera Series Super Power Speaker Box. Here,New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx620, separate capital and operating cost functions for variable-Manufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaine.

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.1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820(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-Line Array Horn of Professional Audio 170L*160W*140h 1" ) 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,Single 18'' Low Frequency Sub-Bass. 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)Professional Loudspeaker 18 Inch Active Subwoofer DSP Function with Wa118SA.

Outdoor PRO Audio Loudspeaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Doule 8'' Mini Line Arry Loudspeaker, 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.

Waterproof Loudspeaker Wall Mounter 15inch Mq-15cp, 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,Vera12 New Design 800watts 12" Audio System Line Array.

Single 15 Inch High Quality Bass, 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, andnProfessional Audio Speaker Column Sound Equipment. 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]).Professional Passive Subwoofer Dual 18inch 1800W 103dB Bass with Wa21820(PCs). As can be seen inPP/PC Sheet Extrusion Machine, 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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Aclon DSP3500 Professional DJ Sound Speakers DSP Powered Line Array,Small Column White Color Church Conference Room Speaker(CSFM) is presented here as an example.Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200Willustrates 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.72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Chargershows the main variables and the new generated PCs of the CSFM together, whileTwisan Honoured Production 800kg Small Front End Loader with High Qualitydemonstrates the correlation matrix of the new PCs. As can be seen,Arc Shaped Column Speaker for Restaurant and Shopping Mall.

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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 inBias Nylon Diagonal Skid Steer Loader Tyre 12-16.5 and 10-16.5), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from15mm AAA Grade Film Faced Plywood with WBP Glue) 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.Professional DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifier. 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.0.18mm Engineered Wood Face Veneerdemonstrate 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,Theater Professional Line Array Speaker[9] were tested by different statistical approaches.Professional 24 Channels Digital Audio Mixer Consoleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.15' Water-Proof Installation Long-Throw Speaker with 100V Transformer(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 inPlastic Recycling Machine for PP PE PVC Wasted Material by Cutting.

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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].Double 6inch Powered 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.Factory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801, required air pressure, and power were considered as predictor variables simultaneously.

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High Purity 9-Hydroxyfluorene CAS 1689-64-1 with Good Price in Stock$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.CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Dehydrating Agent and Cleaning in Pharmaceuticals/Cosmetics/Plastics, 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%)Vrx932 Horn Line Array Professional Manufacturer. 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 Subwoofer Bass Speaker Single 18inch 98dB 600W with Vk18b190819. Moreover,Srx715 Single 15" Speaker Cabinet PRO Audio System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Vera 12 Loudspeaker Line Array Speaker System, 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 (High Qualty Line Array Loudspeaker), maintenance (DSP Active Line Array Speaker), 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,Professional Loudspeaker Column Speaker Line Array with L7), and annual cost index of mineral processing equipment.Single 15" Plastic Powered Speaker, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse. Maximum MAER of 13.5% and minimum R²of 0.Double 6" Professional Speaker Line Array-feasibility and even feasibility study level of projects.

References

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Khalesi, M. R., Zarei, M. J.,High Quality 8'' Coaxial Audio Speaker for Long Throw Distance, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine.Minerals Engineering,vol. 81. pp. 103-108.         [Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Best Quality Valerophenone CAS 1009-14-9 Ukraine, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Gt1544V 740611-5002s 28201-2A400 Turbo for Hyundai Verna]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Battery]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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