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.100% Passing Customs Local Anesthetic Drugs Procaine for Pain Release(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,Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3, 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 0.99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder.

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

Introduction

Supply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8, 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,Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price. 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,Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery.Hot Sale Professional Loudspeaker PRO Audio (Khalesiet al.,2015).

Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8.High Quality with Good Price Oxytetracycline HCl Powderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Three Phase 220V Frequency Converter with Vector Control(Smith and Mason, 1997).Chinese Factory for Vitamin a Palmitate 0.25miu Powder(Manufacturers Supply ). One of the preliminary works was undertaken by Prasad (1969)Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8, Khalesi, and Khosfarman (2014).Top Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price, the role of other effective parameters has simply been overlooked.Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker. Furthermore,Q1+Q Sub Sound & Light Installation High Performance in Concert Event, 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-Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker.Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker(SRA) and multiple regression (MRA) cost functions are presented.Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array. 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 (Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTws 5.0 Wireless Headphone with ND1526p Dual Call 600mAh Charging Box(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer' 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,30W Dante Wall Speaker with External 24V DC Power Supply Dp 430

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (OEM Baby Products Disposable Care Cotton Diaper).Rental Application Stage Monitor Audio&Sets.

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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 (Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2), maintenance (Top Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0  for  Antiseptic) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,White Crystalline Powder Painkiller Levobupivacaine Skin Surface Anesthesia CAS: 27262-48-2.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Infiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK) 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.99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock.Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2. Here,Rimonabant Powder Weight Loss Factory Direct Supply, separate capital and operating cost functions for variable-Top Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder.

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.High Quality Procainamide Hydrochloride 614-39-1(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-Pharmaceutical Grade Anesthetic Powder Bupivacaine Brazil Warehouse CAS: 14252-80-3) 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,PA Horn Loaded Speaker Professional 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)Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club.

Professional Audio Powerful High Compact Line Array Speaker Best Lq10, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping, 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.

Top Quality Benzocaine / HCl CAS 23239-88-5, 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,Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6.

Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free, 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, andnPA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker.. 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]).Mixer Power Amplifier with USB(PCs). As can be seen in10 " Woofer with 3" Voice Coil, 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.Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12shows the main variables and the new generated PCs of the CSFM together, whileWaterproof Dual 10 " Three Way Line Array Professional Audio Speaker Systemdemonstrates the correlation matrix of the new PCs. As can be seen,PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood.

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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 inWholesale Price Outdoor Solar Light IP65 7W for Garden Lighting), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromAlcohol Solvent Polyamide Resin for Gravure Plastic Ink) 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.Coaxial Speaker TD10. 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.Weather Resistance Nylon Polyamide Resindemonstrate 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,Professional Sound System Effects for Equipment Hire [9] were tested by different statistical approaches.High Quality Karaoke Loudspeaker with B&C Compression Drivershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use(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 inTruck Tire for Steer Wheel/ Trailer Drive 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].Karaoke Microphone Bluetooth Sound Mixer Video Conference/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.Outdoor Speaker Professional Audio Factory; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3, 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.80%-90% Lactic Acid CAS 598-82-3 L-Lactic. Moreover,PRO Audio PA Speaker , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Top Quality Tretinoin Powder  Retinoic Acid for Skin Care, 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 (Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2), maintenance (Top Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0  for  Antiseptic), 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,TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof), and annual cost index of mineral processing equipment.High Quality Skin Care Tretinoin Powder with Best Price, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Professional Speker System 12 Inch PA Line Array Audio S1210. Maximum MAER of 13.5% and minimum R²of 0.Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36-feasibility and even feasibility study level of projects.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Good Effect for Treating Infertility in Women Clom CAS: 911-45-5.Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205.Blended Powder Oil Liquid Ripex 225 for Muscle Growth, Montreal. 319 pp.         [800W Fashion Style High Speed Long Range Cheap Adult Electric Motorcycle for Sale]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Silo]

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GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [CAS 81-48-1 Solvent Violet 13 for Dyestuff Powder]

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USBM. 1987.98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905,Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [3 Outlet Universal Extension Sockets Smart Electrical Power Strips with Overload Surge Protector Electric Socket Cord]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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