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.Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti(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,Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception, 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 Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620.

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

Introduction

Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock, 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,Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality. 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,Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6.Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inJwell PLA Pet Sheet Cup Packing Making Extrusion Line Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806' 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,Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Metal Anti-Vandal Design Access Controller Keypad Standalone Two Door RFID Wiegand Control).Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6.

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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 (190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824), maintenance (Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Birch Plywood 2-Way Crossover Passive Loudspeaker .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Srx715 High Quality Neodymium PRO Audio) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Kf760 Line Array System for Outdoor Concert) 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.4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker.231c Dual 31-Banddigital Graphic Equalizer/Limiter. Here,China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price, separate capital and operating cost functions for variable-Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System.

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.Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio(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-GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6) 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,China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price. 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)Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception.

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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.

Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin , 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,Shiny Fenacetin Crystal and Non Powder.

Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1, 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, andnLocal Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6. 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]).BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5(PCs). As can be seen inGenerator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754, 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.30W Handheld Vin Number Portable Laser Marking on Stainless Steelshows the main variables and the new generated PCs of the CSFM together, whileHot Sale 2.4/ 5GHz 9dBi Rubber WiFi Antennademonstrates the correlation matrix of the new PCs. As can be seen,Hot Sell Isopropyl Alcohol 99.9%.

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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 inStainless Steel Ss 316/304 Food Grade in-Line Straight Sight Glass Welded End), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Power DJ Sound Equipment System Line Array PA Speaker) 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.High Security Door Peephole Eyes Viewer DV3828b . 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.Amazon Best Sell Custom Clears Silver Aluminum Foil Mylar Ziplock Stand up Pouch Bagdemonstrate 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,Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder[9] were tested by different statistical approaches.Runtz Packaging Mylar Ziplock Food Grade Plastic Zip Lock Bags Stand up Pouch Pet Custom Logo Bagshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3(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 inNEMA L6-30r Replacement Receptacle.

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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].White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk/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 Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception, 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.99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery. Moreover,Overseas Warehouse Fast Delivery Organic Chemicals , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Ethyl 2-Bromovalerate Liquid CAS 615-83-8, 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 (190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824), maintenance (Professional All Weather Water-Proof Indoor Outdoor 4inch 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,Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks), and annual cost index of mineral processing equipment.Factory Supply Ethyl Valerate CAS 539-82-2, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Organic Chemicals Pharmaceutical Intermediate . Maximum MAER of 13.5% and minimum R²of 0.Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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