GENERAL PAPERS

Asapp-II Ammonium Polyphosphate for Intumescent Paints Cost modelling for flotation machines

S. Arfania; A.R.Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-PHigh-Performance Variable Frequency Inverter 3-Phase 380V; M.R. Khalesi

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.2 Ton Loader 3 Wheel Cargo Tricycle(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,Grid Tied Inverter 3kw, 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 0.5kw Solar PV Kit Power Gird Tied Inverter.

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

Introduction

Factory Mining Tyre, 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,Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power. 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,150cc Front Cabin Cargo Tricycle.OTR G2 Grader Tubeless Tyre 17.5-25(Khalesiet al.,2015).

1L Metal Screw Top Round Machine Oil Tank.Customized Modern Design Metal Oil Tin Can 1L Empty Storage Containeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Novel Pea Supplements Eria Jarensis Extract Palmitoylethanolamide Raw Powder USA Stock CAS: 10275-21-5(Smith and Mason, 1997).E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre (Morin Professional Audio 10inch Line Array Speaker Tw- 10 & Tw-18 Sub). One of the preliminary works was undertaken by Prasad (1969)Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre , Khalesi, and Khosfarman (2014).1L Paint Tin Cans/Empty Food Grade Can with Lid; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders, the role of other effective parameters has simply been overlooked.20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre. Furthermore,High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights, 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-China Electric Tricycle 350W 500W 800W for Adult.Llantas High Quality L5 OTR Tyre 26.5-25(SRA) and multiple regression (MRA) cost functions are presented.1L Empty Round Brake Fluid Can Boxes. 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 (Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality European Style Modern Furniture(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Motor King Rear Double Axle Tricycle for Heavy Loader' 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,Heavy Loader 5wheel Cargo Tricycle with Cabin

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Precision and Fast Speed Nonmetal CO2 Laser Marking Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Motor Cargo Tricycle for 2-3ton Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customized White Padded Envelope Shipping Bag).1L Empty Round Tin Can with Plastic Lid Manufacturer.

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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 (1L Extra Virgin Olive Oil Metal Can with Cover), maintenance (Solar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500W) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Gy6 -125/ 150ccformaular.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Double Chasis Cargo Tricycle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Euro 5 Gy6 -50cc 4t Moped) 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.Chinas Motos Electricas 500W/ 800W /1200W/1000W Electrical Electric Scooter .Water Proof Closed Box Delivery Tricycle. Here,3840watts 50Hz 80A Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate, separate capital and operating cost functions for variable-Barrow Mini Dumper with Three Wheels.

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.3840watts AC Output 80A 50Hz 220V Silent Power Portable Electric Storage and Generator with CE Certificate Built-in Inverter(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-Oil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensor) 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,20/30/50/60/100W Raycus Max Jpt Ipg Table 3D CO2 Mopa Color Logo Printer Marker Fiber Laser Marking 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)Gy6 150cc EEC Scooter.

250W- 800W Handicapped Mobility Scooter for Old People with Basket, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty, 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.

Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 Years Warranty, 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,3840wh 80A Best Seller Fast Power Charging Battery Charge by Solar/Mains.

Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W, 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, andnAuto Parts Laser Printing Machine Marking System Engraving Equipment. 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]).Water-Proof Cover 3 Wheel Cargo Gasoline Trike(PCs). As can be seen inHigh Quality , 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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2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W,Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty(CSFM) is presented here as an example.Metal Tin Can Engine Oil Empty Tinplate Containerillustrates 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.Softel 5-1000MHz Outoodr Bi-Directional CATV RF Amplfier with 2 Outputs and Return Pathshows the main variables and the new generated PCs of the CSFM together, whileMotorcycle Spare Part Turn Light for Gy6 -150demonstrates the correlation matrix of the new PCs. As can be seen,30W CO2 Touch Screen Laser Marking Coding Engraving Machine.

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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 inResin Crafts), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFrequency Inverter Pump AC Drive Price) 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.Solid State Inductive Heating Furnace for Tyre Cord Wire. 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.5GHz Antenna High Gain 16dBi Paneldemonstrate 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 Supply Biomass Rice Husk Charcoal Making Machine[9] were tested by different statistical approaches.1L Empty Round Edilbe Cooking Oil Metal Tinshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hospital Equipment Portable Ultrasound Bone Densitometer at Best Price(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 inDurable Large Capacity New Custom Daily Cooler Shoulder Bag.

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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].Outdoor/Home Use Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty/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.Low Failure Rate High Efficiency Induction Metal Heating Machine ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Grid Tied Inverter 3kw, required air pressure, and power were considered as predictor variables simultaneously.

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Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty$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 Mini High Frequency 25kw Induction Heater Price, 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%)Convex Series Probe Type Wireless Mini Ultrasound Scanner. 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.2ND Generation Ultrasound Bone Densitometer. Moreover,Hot Selling 2ND Generation Ultrasound Bone Densitometer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Real Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelash, 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 (1L Extra Virgin Olive Oil Metal Can with Cover), maintenance (Solar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500W), 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,High Quality Economic Ultrasound a/B Scan for Ophthalmology ), and annual cost index of mineral processing equipment.Ut-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eye, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Ophthalmic a Scan and Pachymeter Combined Unit. Maximum MAER of 13.5% and minimum R²of 0.Ophthalmic Optical Pachymeter & Biometer / a Scan -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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