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.55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17(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 Factory Motorcycle Tyre and Motorbike , 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.High Quality Motorcycle Parts Tyre .

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

Introduction

Plastic Bottles Semi Automatic Film Shrink Wrapping Machine / Packing, 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,High Speed Bottles Shrink Wrapping Machine/Group Packing Machine. 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,Can Beer Use Automatic PE Film Heat Shrink Wrapping Group Packaging Machine for Half Paper Box Juice Production Line.1L Liter Customized Printing Logo Round Glass Water/Beverage/Juice Bottle Glassware Milk Bottle(Khalesiet al.,2015).

Ce ISO SGS Certification Wd Series Full Automatic Linear Type PE Plastic Film Stretch Shrink Wrapping Machine Packaging.3kwh 150ah Solar Home System Li-ion Battery Factoryet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2021 60V 20ah EEC Motorcycle Electric Moped Scooter 500/ 800W Motorbike(Smith and Mason, 1997).Excellent Motorcycle Cylinder for Gy6 -100 (17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders). One of the preliminary works was undertaken by Prasad (1969)3kwh Power Supply Solar Energy Battery Pack, Khalesi, and Khosfarman (2014).25kw Electromagnetic Induction Heater for Tools Welding; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light, the role of other effective parameters has simply been overlooked.Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565. Furthermore,Mc4 Connector Combiner Box with 600V MCB for off Grid 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-Professional Manufacture Y Solar Mc4 Energy System Connector PV.Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering(SRA) and multiple regression (MRA) cost functions are presented.Highly Quality 1500V Solar Mc4 Energy System Connector IP67 PV. 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 (24watt New RGB Cool White Warm LED Underwater Swimming Pool Light, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSteel Wall Bracket for Speaker with Quick Release Pin (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1L High End Glass Vodka Wine Bottle with Matte Black Finish' 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,1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wrinkle Removal Super RF Beauty Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Glass Bottle 1L Empty 1000ml Milk(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 Automated Hydraulic Concrete/Cement Hollow/Solid/Pavement/Curbstone/ Paver/Paving/Interlock Block/Brick Making/Molding Machine in Qt5-15/Soncap).Mc4y Tyco Solar Connector.

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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 (Mc4 Electronic Connector), maintenance (Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1L 2L 5 L Plastic HDPE Powder Bottles) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Solar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2) 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.30watt New RGB Cool White Warm LED Underwater Swimming Pool Light.All Terrain Vehicle Tyres ATV Wheel. Here,1L Plastic Trigger Sprayer Bottle with Spray, separate capital and operating cost functions for variable-Velaslim Health Beauty Velashape Vacuum RF Cavitation LPG Body Slimming Equipments for.

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.20MHz RF Best Technology for Skin Tighten(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-Massage Lymphatic Drainage Body Shaping Slimming Beauty Apparatus) 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,20MHz Thermal RF Wrinkle Removal Beauty Machine. 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)Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light.

Color Changing Swimming Pool Lights, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Body Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatus, 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.

Underwater Pool Light with Niche , 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,Skin Tightening.

Globalipl RF Roller Vacuum Slimming Apparatus, 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, andnportable Fiber Laser Marker Machine for Eyeglasses Case Accessories. 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]).New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty(PCs). As can be seen inWater Pump Frequency Inverter, 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.Best Selling Electric Scooter Mini 800W shows the main variables and the new generated PCs of the CSFM together, whileJwell PLA Pet Plastic Biodegradable Sheet Recycling Cup Making Extrusion Machinedemonstrates the correlation matrix of the new PCs. As can be seen,Motorcycle Spare Part Oil Switch for Gy6 150.

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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 inGood quality China products disposable sleepy baby diaper), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromShiny Fenacetin Crystal and Non Powder) 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 0.20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18. 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.Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Saledemonstrate 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,DOT Peen Marking Machine Vin Touch Screen for Sale[9] were tested by different statistical approaches.20mm Plywood or Timbershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers(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 inChina Wholesale Pea Design Dancing Girl Gymnastics Pin Brooch.

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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].ATV Scooter Motorcycle High Quality Parts/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.New 110cc 125cc 150cc Mini Jeep Willys; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Factory Motorcycle Tyre and Motorbike , 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.Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale. Moreover,Self-Powered Subwoofer Bass Active Speaker Single 15inch Multi-Functions Occasions 600W Vs15s20, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Motorcycle Parts High Quality Cam , 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 (Mc4 Electronic Connector), maintenance (Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles), 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,off Grid PV Panel Generator Solar Energy Power System 3kwh for Home/Outdoor Lighting), and annual cost index of mineral processing equipment.High Quality Motorcycle Parts Cam , 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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