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.Digital Display Superior 316L integrated Pressure Transducer(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,High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp, 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.RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light.

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

Introduction

Gy6 125cc Sproty Scooter /Motorcycle, 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,Top Grade Cross-Country Motorcycle Tire 120/90-18. 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,Gy6 Engine 150cc Gasoline Scooter for Adults.Flat film Clamp Hygienic Pressure Sensor Transmitter(Khalesiet al.,2015).

Steel Wheel Hub Buggy 150cc ATV.150cc 200cc Gas ATV Quad for Adultset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PA /CPP Rotort Pouch(Smith and Mason, 1997).Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18(Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650). One of the preliminary works was undertaken by Prasad (1969)Raw Petro High Temperature Sapphire Pressure Transmitter, Khalesi, and Khosfarman (2014).Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,EEC Euro 5 Gy6 -125cc Motorcycle Scooters, the role of other effective parameters has simply been overlooked.Gy6 Engine Gas Scooter. Furthermore,150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV, 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-Gy6 -50cc OEM Gas Scooter.150cc off Road Utility ATV with Reverse (SRA) and multiple regression (MRA) cost functions are presented.Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids. 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 (Gy6 150cc Gasoline Scooter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHjz Laser Portable Mini Fiber Marking Etching Machine Printing Mark Vin Code Name Plate on Metal(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Zongshen 150cc Cargo Tricycle with Top Cover' 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,Gy6 150cc Gasoline Scooter

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,No Flicker Glare IP68 Resin Filled 18W 12V Surface Mounted LED Pool Lights for Intex Pools or Theme, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Gy6 -50cc Scooter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Kids Outdoor Playground).China 150cc Gy6 Gasoline 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 (Euro 4 Certificate), maintenance (2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi.) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Performance Motorcycle Tire for Senegal ) 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.Double Rear Tyre Tricycle with 300cc Water Cooling Engine.300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo . Here,Portable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcad, separate capital and operating cost functions for variable-12" Mono Base Hair Topper Best Quality Virgin Remy Human #4 Chocolate Brown Straight Real Hairpieces Factory Wholesale Price Accessories.

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.300cc Five Wheel Gas Cargo 3 Motorcycle for Adults (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-Portable Automatic Ultrasound Bone Analyzer Densitometer) 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,300cc New Classic Cheap 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)Voomaster Brand Big Diamonds Tread Pattern Motorcycle Tyre 3.00- 17 .

HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Ophthalmic Pachymeter , 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.

6A Grade Indian Beard, 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,Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder.

50W LED Bulb Marking, 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, andn50W Fiber Laser Marking Machine for PVC/ Plastic/ Stainless Steel/ Silicon. 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]).Flexible Label Laser Marking Machine for Airbag Warning Labels(PCs). As can be seen inUnderwater Light, 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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Factory Customized Automobile Automotive Vehicle Parts Electric Drive and Motor Shaft,Original Quality Motorcycle Parts Spark Plug Cap for Gy6 125(CSFM) is presented here as an example.Best Price Food Tin Metal Box Clip Lid Candy Canillustrates 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.Caine Benzocaine Procaine Cinchocaine Mepivacaine Pramoxine HCl Proparacaine CAS 94-09-7/51-05-8/614-39-1/61-12-1/85- 79 -0/22801-44-1/637-58-1/5875-06-9shows the main variables and the new generated PCs of the CSFM together, while95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902demonstrates the correlation matrix of the new PCs. As can be seen,30W Bird Rings Machine Laser Marker with Rotation Working Table.

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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 inLeading Manufacture 2021 Newest Ce RoHS FCC Certified AC/DC 240V 12V Adapter), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromVeterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine) 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.Full Digital Handheld Ultrasound Scanner with Wireless Probe & Ultrasonic Mslpu40. 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.Newest Hot Sale Cheap Chinese Modern Self Balancing Mobility Adult Lithium Battery 800W Electric Motorcycles Scootersdemonstrate 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,Pin Machine Suppliers Marker Systems[9] were tested by different statistical approaches.Automatic Thermostatic Vulcanizer for Sale shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.USB&WiFi Ultrasound Convex Linear Probe for Ios/Android/Windows Device(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 inDigital High Voltage Vacuum Switch Degree Tester.

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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].1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Use/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.4u 16 in 1 Agile CATV RF Modulator Channels; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp, required air pressure, and power were considered as predictor variables simultaneously.

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HDPE Pesticide Bottle 500ml 1L Foliar Fertilizer Plastic$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.Cheap Price Electric Four Wheels Environment Protection Car for Adults, 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%)Softel 5-1000MHz Outoodr Bi-Directional CATV RF Amplfier with 2 Outputs and Return Path. 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.Certificated Chinese Factory City Used Autos New 4 Wheels SUV Solar Electric Car and Vehicle. Moreover,Softel CATV House Amplifier Gain Forward Max 30 dB with Return Path 5-65MHz, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Gain 30dB 1 Output CATV House User Amplifier with AGC, 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 (Euro 4 Certificate), maintenance (2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light), 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,Softel 24 Channel Optional RF Fixed Analog Modulator), and annual cost index of mineral processing equipment.Cummins diesel engine 4918416 inline 5 diagnostic tool datalink adapter, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Solar Energy System 3kwh Power Home Built in Inverter. Maximum MAER of 13.5% and minimum R²of 0.High Quality 3kwh Rechargeable LiFePO4 Lithium Battery-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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