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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.China Supplier Ophthalmic Equipment Ultrasound Ab Scan(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,Vimode Electric Scooter Adult Motorcycle for Adults 800W, 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 0.150cc/200cc/250cc / 300cc Three Wheel Cargo Motorcycle /Tricycle.

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

Introduction

Heavy Duty Tricycle 250cc, 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,Electric Motorcycle Fashion Design 800W with Removable Battery. 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,City Scooter 800W Long Range Electric.800W Electric Scooter Motorcycle Bicycle with Folding Rack(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Scooter with Stable Function and Nice Outside Looking, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPRO Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Motorcyle for Both Oil and Water Cooling' 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,860MHz Two Way Amplifier

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,5GHz Parabolic Grid Antenna 24dBi, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),5GHz 30dBi Mimo Dish Antennas(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Combined Processing Potato Chips Production Line/Corn Flake Line).China Factory Supplier Ophthalmic Equipment Ab Scan.

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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 (Internal 2.4GHz/ 5GHz Antenna/TV Antenna/Stainless Steel with Rg1.13 Dual-Band Antenna), maintenance (24 Channels Fixed Modulator) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,5150-5850MHz Sector Panel Antenna 2*17dBi.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Replica Aluminum Alloy Wheels for Skoda) 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.Best Price Sab-500 Ophtalmic Ab Scan.Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25. Here,Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650, separate capital and operating cost functions for variable-80kw Grid Tied Solar System for Commercial or Industrial Use.

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.Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System(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-Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type) 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,Ophthalmic Equipment Biometer Scan a. 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)0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer.

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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.

20MHz Probe Ophthalmology Ultrasound MD-2300S, 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,860MHz Two Way Amplifier .

Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle, 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, andnOphthalmic a Scan Portable Handheld Biometer. 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]).Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life(PCs). As can be seen inPRO Audio Powered Line Array Tw- 10 Outdoor Speaker, 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.Pigment Violet 1 or Fast Rose Toner/Fast Lakeshows the main variables and the new generated PCs of the CSFM together, while10inch Professional Karaoke Speaker for Luxury Roomdemonstrates the correlation matrix of the new PCs. As can be seen,High Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle.

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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 inPremium Quality Durable Reusable Kids Backpack with Eye-Catching Patterns Canvas Children Day Pack), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8) 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 0.1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System. 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.Yn725 Yineng Mini Wheel Loader 18.5kwdemonstrate 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,Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power[9] were tested by different statistical approaches.DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energyshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger(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 inCrstal White Artificial Engineered Quartz Stone Countertop/Vanity Top /Work Slab/Tile1.

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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].Everun Er08 CE Wheel Loader with Standard Bucket for Sale/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.China Cpm Zl08 Mini Wheel Loaders with Price List for Sale; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Vimode Electric Scooter Adult Motorcycle for Adults 800W, 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.Covered Tricycle Carriage Closed Cargo Box. Moreover,Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (0.8 Ton Garden Samll Loader 800kg Mini Front End 8 7 6 5 4 3.5 3 2.5 2 1.5 1 Wheel, 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 (Internal 2.4GHz/ 5GHz Antenna/TV Antenna/Stainless Steel with Rg1.13 Dual-Band Antenna), maintenance (24 Channels Fixed Modulator), 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,Metal Packing Chemical Round Tin Can), and annual cost index of mineral processing equipment.1 Liter Cans for Curing Agent, 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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