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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.Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer(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 Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, 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.Rental Application Stage Monitor Audio&Sets.

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

Introduction

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Methodology

Data

Thirty-seven major flotation machines (Top Quality Benzocaine / HCl CAS 23239-88-5, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Supply Chlorhexidine Acetate/ Mpb Diacetate /CAS 206986- 79 -0(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6' 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),PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Middle East Jewelry Set CZ Necklace Pendants).Karaoke Speaker System Chinese KTV High Output Compact Box.

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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 (Coaxial Speaker TD10), maintenance (Professional Sound System Effects for Equipment Hire ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Outdoor Show Audio Lt12 Passive Line Array Speaker System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Karaoke Microphone Bluetooth Sound Mixer Video Conference) 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.Outdoor Speaker Professional Audio Factory.Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p. Here,Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9, separate capital and operating cost functions for variable-1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free.

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.2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7(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-Raw Material Benzocaine Powder CAS 94-09-7 Pain Killer Factory) 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,80%-90% Lactic Acid CAS 598-82-3 L-Lactic. 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)PRO Audio PA Speaker .

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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.

High Quality Skin Care Tretinoin Powder with Best Price, 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,Professional Speker System 12 Inch PA Line Array Audio S1210.

Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36, 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, andnEco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch. 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]).Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate(PCs). As can be seen inAct CNG LPG Fuel System 2568cyl ECU Kits, 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.ISO and SGS Factory Provide L-Arginine Nitrate 749- 79 -33shows the main variables and the new generated PCs of the CSFM together, while5GHz 23dBi Enclosure WLAN Antennademonstrates the correlation matrix of the new PCs. As can be seen,TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use.

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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 inPopular Summer Children Cute Cartoon Character Fan Plastic Toy), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromNo Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty) 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 Speaker PRO Audio System Compact Line Array PA Lq10. 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.Single 15 Inch High Quality Bassdemonstrate results for the machines modelled in this research.

Multiple regression results

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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].Blended Powder Oil Liquid Ripex 225 for Muscle Growth/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.Good Effect for Treating Infertility in Women Clom CAS: 911-45-5; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, 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.Low Price Malonic Acid / Propanedioic CAS 141-82-2. Moreover,2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (L-Arginine Nutritional Supplements  Arginine  Flavoring Agents, 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 (Coaxial Speaker TD10), maintenance (Professional Sound System Effects for Equipment Hire ), 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,Indoor DJ Stage Two Way Active Line Array Cabinet Box), and annual cost index of mineral processing equipment.PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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