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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.150cc Quad 4WD ATV for Adults(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,Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty, 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.IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip.

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

Introduction

2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty, 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,5kw Grid Tied Solar Inverter Three Phase for Home Use. 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,High Quality Solar PV Grid- Tied Inverters.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip(Khalesiet al.,2015).

Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P.2 Ton Loader 3 Wheel Cargo Tricycleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 7.5 Liter Protein Powder Tubs Jars for Sports Food/HDPE Plastic Container(Smith and Mason, 1997).Grid Tied Inverter 3kw(125cc Retro Scooter Motorcycle). One of the preliminary works was undertaken by Prasad (1969)5kw Solar PV Kit Power Gird Tied Inverter, Khalesi, and Khosfarman (2014).Factory Mining Tyre; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power, the role of other effective parameters has simply been overlooked.150cc Front Cabin Cargo Tricycle. Furthermore,OTR G2 Grader Tubeless Tyre 17.5-25, 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-1L Metal Screw Top Round Machine Oil Tank.Customized Modern Design Metal Oil Tin Can 1L Empty Storage Container(SRA) and multiple regression (MRA) cost functions are presented.E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre . 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 (Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in500ml Round Resealable Tin Can with Easy Open Screw Top Lid(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1L Paint Tin Cans/Empty Food Grade Can with Lid' 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,Llantas High Quality L5 OTR Tyre 26.5-25

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1L Empty Round Brake Fluid Can Boxes, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (DB- 300B Digital Displaying Type Pendulum Impact Tester).Motor King Rear Double Axle Tricycle for Heavy Loader.

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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 (Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding), maintenance (1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1L /1000ml Extra Virgin Olive Oil Metal Can.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1L Olive Oil Can Cooking Empty Tin Can/Pot Metal) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Heavy Loader 5wheel Cargo Tricycle with Cabin) 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.High Precision and Fast Speed Nonmetal CO2 Laser Marking Machine.Motor Cargo Tricycle for 2-3ton Loader. Here,1L Empty Round Tin Can with Plastic Lid Manufacturer, separate capital and operating cost functions for variable-1L Extra Virgin Olive Oil Metal Can with Cover.

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.Solar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500W(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-Gy6 -125/ 150ccformaular) 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,Double Chasis Cargo Tricycle. 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)Euro 5 Gy6 -50cc 4t Moped.

Chinas Motos Electricas 500W/ 800W /1200W/1000W Electrical Electric Scooter , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Water Proof Closed Box Delivery Tricycle, 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.

3840watts 50Hz 80A Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate, 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,Barrow Mini Dumper with Three Wheels.

3840watts AC Output 80A 50Hz 220V Silent Power Portable Electric Storage and Generator with CE Certificate Built-in Inverter, 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, andnOil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensor. 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]).20/30/50/60/100W Raycus Max Jpt Ipg Table 3D CO2 Mopa Color Logo Printer Marker Fiber Laser Marking Machine(PCs). As can be seen inHigh-Performance Variable Frequency Inverter 3-Phase 380V, 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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250W- 800W Handicapped Mobility Scooter for Old People with Basket,with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty(CSFM) is presented here as an example.High Quality European Style Modern Furnitureillustrates the high correlation between predictor variables for the CSFM.

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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.1.5kw 3phase Frequency Converter 50Hz to 60Hzshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality demonstrates the correlation matrix of the new PCs. As can be seen,Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 Years Warranty.

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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 inHot Sell Sock Monkey Soft Stuffed Plush Kids Toy Doll), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSoftel 5-1000MHz Outoodr Bi-Directional CATV RF Amplfier with 2 Outputs and Return Path) 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.Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W. 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.Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mowerdemonstrate 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,Auto Parts Laser Printing Machine Marking System Engraving Equipment[9] were tested by different statistical approaches.Sulfasalazine CAS No. 599- 79 -1shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Water-Proof Cover 3 Wheel Cargo Gasoline Trike(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 inCustomize Advertising LED Neon Sign Acrylic Letters.

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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].2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W/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.Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty, 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.Ce Approved Ho-100 Eyes Hospital Use Ophthalmic Ultrasound Scanner. Moreover,Outdoor/Home Use Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Low Failure Rate High Efficiency Induction Metal Heating Machine , 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 (Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding), maintenance (1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent), 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,Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan), and annual cost index of mineral processing equipment.Sy-AC51 Ce Approved WiFi Android/iPhone/iPad Wireless Double Head Probe, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty. Maximum MAER of 13.5% and minimum R²of 0.Hot Sale Mini High Frequency 25kw Induction Heater Price-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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