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.800kg China Small Front High Quality Wheel Loader for Sale in Europe(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,Melamine Glue WBP Commerical Plywood, 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.Decorative Pine Groove Plywood Veneer Fancy.

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

Introduction

E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated, 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,18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork. 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,18mm Embossed Melamine Faced Commercial Plywood for Furniture Making.Filmfaced Plywood with High Quality and Cheap Price(Khalesiet al.,2015).

9mm E1 Glue Bintangor Plywood Board.E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Roomet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Android TV Box 7.1 Smart Full HD 1080P Video Motherboard for Kodi 17.6(Smith and Mason, 1997).E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W(Ophthalmic a Scan Portable Handheld Biometer). One of the preliminary works was undertaken by Prasad (1969)AC Drive, Khalesi, and Khosfarman (2014).Hot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Sell Well 800W 60V Electric Motorcycle for Daily Riding, the role of other effective parameters has simply been overlooked.China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System. Furthermore,15kw Grid Tied Solar System, 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-Rosen 8kw Grid Tied on Solar Panel System.0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump(SRA) and multiple regression (MRA) cost functions are presented.12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial. 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 (Grid Tied 11kw Solar Panel System Home Commercial Power Supply, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inKas Professional Dual 15 Inch Subwoofer 10 Line Array Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;5kw Grid Tied Solar Power System for Home Use' 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,0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Jarol Strong Overload Capacity AC Drive Frequency Inverter , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Woma Foshan Manufacturer Bathroom Sanitary Ware Round Massage Bathtubs).Sporty Electric Scooter .

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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 (SMD3014/2835 AC/DC Underwater LED Swimming Pool Light), maintenance (30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Best Selling 4X4 Farm ATV.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery) 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.Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels.Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q. Here,Plywood Mdo / Hdo for Concrete Formwork Slab Form, separate capital and operating cost functions for variable-Electric Scooter/ Motorcycle/TM-Monya.

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.Electric Scooter with Anti-Theft Motor Lock (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-Hot-Sale Sporty Electric Motorcycle Mn5) 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,Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult. 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)RGB/White 18W PAR56 LED Swimming Pool Light.

PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche, 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.

18W Recessed IP68 PAR56 LED swimming Pool Underwater Light, 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,18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting.

Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt, 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, andnWiFi Control IP68 PC Surface Mounted Underwater Lights 18W 24W 35W RGBW LED with 2year Warranty. 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]).24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light(PCs). As can be seen in1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier, 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.Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Useshows the main variables and the new generated PCs of the CSFM together, whileOEM ODM Public DJ PA Wooden Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,Customized 18mm Carb Birch Okoumen Plywood.

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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 inWaterproof Laptop Fashion Outdoor Sport School Book Bags Business Men Travel Backpack), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from3X3 LCD wall panel surveillance digital display screen) 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 0.3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use. 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.Solvent Violet 11demonstrate 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 Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System[9] were tested by different statistical approaches.Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Deliveryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Grid Tied Wind Solar Power System(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 inHonor Pewter.

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Cost model for variable-Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP

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].Ash Solid Wood decoration Board/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.980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity.; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Melamine Glue WBP Commerical Plywood, required air pressure, and power were considered as predictor variables simultaneously.

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Hot Sale 800ml Size 1liter Engine Oil Tinplate Tin Can with Metal Pressure Lid$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.Hot Sale Metal Round Cans for Paint or Chemical Packaging, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R²values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Everun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucket. In the MRA cases, this property is owed to the SFM (3.05%).

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.Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans. Moreover,Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can, 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 (SMD3014/2835 AC/DC Underwater LED Swimming Pool Light), maintenance (30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box), 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,China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg), and annual cost index of mineral processing equipment.Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans. Maximum MAER of 13.5% and minimum R²of 0.Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance.-feasibility and even feasibility study level of projects.

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PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Machine Tools 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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