GENERAL PAPERS

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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.Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W(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,Best Chemical Supplier Niche Customs Guaranteed New BMK 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 0.60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826.

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

Introduction

Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid, 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,Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse. 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,OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W.Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDry diaphragm membrane sanitary pressure transducer(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System' 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,Birch Plywood 2-Way Crossover Passive Loudspeaker

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Srx715 High Quality Neodymium PRO Audio, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Kf760 Line Array System for Outdoor Concert(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Daily Use Alcohol Disinfection Hand Sanitizer Gel in Plastic Tube).4inch Outdoor Use Full Range for Public System Wall-Mounted 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 (231c Dual 31-Banddigital Graphic Equalizer/Limiter), maintenance (China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6) 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.China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price.Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception. Here,Safe Shipping Sarms Powder ACP-105, separate capital and operating cost functions for variable-99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk 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.Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin (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-Shiny Fenacetin Crystal and Non Powder) 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,Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1. 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)Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6.

BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk, 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.

Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1, 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,Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5.

Hot Sell Isopropyl Alcohol 99.9%, 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, andnSpeaker Wall Bracket White/Black . 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]).High Security Door Peephole Eyes Viewer DV3828b (PCs). As can be seen in30W Handheld Vin Number Portable Laser Marking on Stainless Steel, 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 Column Speaker Line Array Full Range Loudspeaker Multi-Function L3,Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery(CSFM) is presented here as an example.Disperse Violet 63illustrates 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.Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Invertershows the main variables and the new generated PCs of the CSFM together, whileHigh Power DJ Sound Equipment System Line Array PA Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk.

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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 inCustomized Stainless Steel Knurled Thumb Screw Ni), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromRuntz Packaging Mylar Ziplock Food Grade Plastic Zip Lock Bags Stand up Pouch Pet Custom Logo Bag) 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.Methyl 2-Bromovalerate CAS 19129-92-1 with Safety Delivery. 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.Adult 150cc 200cc 300cc EPA Approved Three Wheel Mptorcycle Scooterdemonstrate 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,Factory Price Diethyl 2[9] were tested by different statistical approaches.Dl-Isoleucine Powder CAS 443- 79 -8shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Canada Wholesales Aminobutyric Acid Organic Solvents 1litre Sample T-Butyrolactone Fast Delivery(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 infor Mercedes Benz Replacement 3D Emblem Car Logo Front Hood Star Ornament Cover Chrome Blue Laurel Wreath Badge a 221 880 00 86 A2108800186.

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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].Factory Supply Dimethyl 2/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.99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8, required air pressure, and power were considered as predictor variables simultaneously.

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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.Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3. Moreover,4'' Installation Professional Waterproof Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professsional Audio Professional Line Array Musical Instrument 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 (231c Dual 31-Banddigital Graphic Equalizer/Limiter), maintenance (China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price), 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,Vera12 Single 12" The Most Economical Line Array Sound System), and annual cost index of mineral processing equipment.180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,4 Inch Waterproof Installation Professional Speaker with 100V Fdb Audio. Maximum MAER of 13.5% and minimum R²of 0.Alu. Speaker Mount Wall Bracket -feasibility and even feasibility study level of projects.

References

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Experienced Supplier with Safe Clearance 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.         [Stainless Steel Portable Travel Water Tea Coffee Mug with D-Ring Carabiner Hook as Handle for Outdoor Sports Camping Hiking Climbing Home Office Adults & Kids]

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USBM. 1987.CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical,Free Clearance Local Anesthetic Pontocaine Topical Tetracaine Powder USA Warehouse CAS: 94-24-6-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [6W E27 LED Bulb Auto PIR Infrared Motion Sensor Detection Lamp White Light SMD 5730 12LEDs Bulbs & Tubes]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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