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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.High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate(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,Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8, 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.Factory Supply Diclofenac Sodium Powder.

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

Introduction

Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 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,Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806. 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,Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5.Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inOil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensor(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;231c Dual 31-Banddigital Graphic Equalizer/Limiter' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Safe Shipping Sarms Powder ACP-105(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Discount 22t Excavator Rock Ripper Made in China).99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price.

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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 (Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin ), maintenance (Shiny Fenacetin Crystal and Non Powder) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5) 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.Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk.Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1. Here,Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5, separate capital and operating cost functions for variable-Hot Sell Isopropyl Alcohol 99.9%.

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.Speaker Wall Bracket White/Black (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 Security Door Peephole Eyes Viewer DV3828b ) 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,Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder. 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 Column Speaker Line Array Full Range Loudspeaker Multi-Function L3.

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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.

Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Methyl 2-Bromovalerate CAS 19129-92-1 with Safety Delivery.

Factory Price Diethyl 2, 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, andnCanada Wholesales Aminobutyric Acid Organic Solvents 1litre Sample T-Butyrolactone Fast Delivery. 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]).Compact Two-Way 4'' 6'' 8'' 100V/16-Ohm Loudspeaker with Multi-Tap Transformer(PCs). As can be seen inChina Articulated Wheel Loader Mr 908 Euro Style 800kg /0.8ton Mini for Sale, 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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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.Interior Decorative Woven Veneer Customized Styleshows the main variables and the new generated PCs of the CSFM together, whileSolvent Violet 59 demonstrates the correlation matrix of the new PCs. As can be seen,China Ethyl 2-Bromovalerate Liquid CAS 615-83-8.

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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 inCheapest Credit Card MP≃ Musi⪞ Player), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromL5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25) 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.Factory Supply Ethyl Valerate CAS 539-82-2. 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.Factory Supply Diclofenac Sodium Powderdemonstrate 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,Organic Chemicals Pharmaceutical Intermediate [9] were tested by different statistical approaches.China Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Filmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3(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 inFour Wheel Alignment A10/Tire Changer/Garage Equipment/Automotive Equipment/Wheel Balancer/Auto Maintenance/Wheel Machine Price/Wheel.

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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].Professsional Audio Professional Line Array Musical Instrument 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.Vera12 Single 12" The Most Economical Line Array Sound System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8, required air pressure, and power were considered as predictor variables simultaneously.

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Alu. Speaker Mount Wall Bracket $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.Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV, 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%)High Quality 8'' Coaxial Audio Speaker for Long Throw Distance. 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.Wall Mount Speaker Bracket . Moreover,Professional Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801, 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 (Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin ), maintenance (Shiny Fenacetin Crystal and Non Powder), 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,Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t), and annual cost index of mineral processing equipment.Wireless PA System for Classroom and Church, and over- extrapolation could result in misguiding estimates.

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References

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Prasad, L. 1969.Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c.High Qualty Line Array Loudspeaker, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Factory Supply 99% Dexketoprofen Trometamol Powder]

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White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk, 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.         [Puff Biscuit Forming Stuffing Cookie Dropping Machine]

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USBM. 1987.Neodymium 12inch 932lap Professional Powered DSP Line Array Speaker,8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Fine Ceramic Mug with Newly Designs]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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