GENERAL PAPERS

2004-10 for VolkswagenCost modelling for flotation machines

S. Arfania; A.R.18W RGB Resin Filled LED Surface Mounted Underwater Pool LightGrowatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System; 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.Poplar Film Faced Plywood Board with Carb Certificate(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,18W 12V IP68 Waterproof LED Swimming Pool Lamps, 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.Hot Sale on-Grid 20kw Grid Tied Solar Power Home System.

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

Introduction

E1 Glue Malamine Mositure-Proof MDF with Carb Certification, 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 Quality Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports. 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,Quality 18mm Carb Birch Okoumen Plywood.Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale(Khalesiet al.,2015).

30kw Grid Tied Solar Power System Home Popular in Philippines.New Condition Large Capacity Mini Truck Dumperet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 5150-5850MHz Sector Panel Antenna 2*17dBi(Smith and Mason, 1997).IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty(Rimonabant Powder Weight Loss Factory Direct Supply). One of the preliminary works was undertaken by Prasad (1969)50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter, Khalesi, and Khosfarman (2014).2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry, the role of other effective parameters has simply been overlooked.14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims. Furthermore,Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories, 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-300cc Cargo Tricycle of Asia Market.Building Material Commercial Plywood with Carb to Europe(SRA) and multiple regression (MRA) cost functions are presented.AL908 800kg Rated Load Wheel Loader with CE Approved for Sale. 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 (China Jiaxing Jarol Frequency Inverter 0.75kw/220V New, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in1051 China Manufacturer Big on Grid Solar System Government Projects 1 MW 5wm 10(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Portable Laptop Digital Automatic Ultrasound Bone Densitometer' names:

►Haiqin Brand 0.8ton Mini Loader : based on 36-foot,Jarol Solar Inverter 5.5kw 3 Phase,Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification,Textile Crane Centrifugal 380V Variable Frequency Drive VFD, and level control

►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,2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,AL908 Wood Gripper Wheel Loader with Euro III Engine for Sale, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Inverter Cabinet VFD Frequency AC Drives 15kw Motor(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (7PCS Pink Plated Water Drop Plastic Handle Travel Easy Carry Make-up Brush Set).2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip.

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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 (12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty), maintenance (loader with excavator grapple wheel mini for sale good quality) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2ND Generation Ultrasound Bone Densitometer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series) 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.Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System.High Effective Automatic Ultrasound Bone Densitometer. Here,Low Price Ophthalmic a-Scan Ultrasound with Pachymeter Ho-100, separate capital and operating cost functions for variable-MS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter Biometer.

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.4.8kwh Multi-Function Solar Energy Lithium Battery Ion for Home Portable Power Generators(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-Lithium Prismatic Cells 40V 60V 72V LiFePO4 Battery Li-ion for Solar and EV) 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,Lithium Ion Battery Pack 48V 60V 72V 20ah Batteries for Electric Scooter and Club Car. 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)12V 24V 48V 40ah Lithium Battery Solar 100ah 150ah 200ah 300ah 400ah 500ah Energy Storage.

5L Metal Round Cans for Paint or Chemical Packaging, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (150cc Motorcycle, 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.

5L Vegetable Cooking Oil Custom Tinplate Square Can, 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,Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter.

Wholesale Plastic Square 1 Liter Fertilizer Bottle, 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, andnAccredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium. 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]).50cc Motorcycle(PCs). As can be seen inHot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults, 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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Zhenhua Classic Motorcycle Dax 125cc Euro4,Super Cooling Smart Electric Scooter 500W 800W Motorcycle(CSFM) is presented here as an example.55 Inch LCD Video Wall Display with Controllerillustrates 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.Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adultshows the main variables and the new generated PCs of the CSFM together, whileBuy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6demonstrates the correlation matrix of the new PCs. As can be seen,Wholesale 1L Round Empty Fully Synthetic Brake Oil Tin Can with Metal or Aluminum Caps.

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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 inHigh Quality Okoume/Bintangor Faced Furniture Plywood with Good Price), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromElectric Portable DOT Peen Vin Number Marking Machine for Flange Numbering) 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 0.5GHz Dual Pol Sector Antenna with Enclosure. 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.Electric Motorcycledemonstrate 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,5GHz 18dBi Dual Polarized Enclosure Antenna [9] were tested by different statistical approaches.5kw Single Phase Home Grid Tied Solar Power Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2.4/ 5GHz 10dBi Rubber WiFi Antenna(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 inUAE Trophies Victory Hand Falcon Sheikhs Wooden Plaques.

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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].5GHz 18dBi Sector WiFi Antenna/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.125cc Retro Scooter Motorcycle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,18W 12V IP68 Waterproof LED Swimming Pool Lamps, required air pressure, and power were considered as predictor variables simultaneously.

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Lady's E-Scooter 800W Hot Sale Made in China$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.High Quality Electric Motorbike with 800W Motor, 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%)800W 72V China Electric Tricycle for Handicapped. 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.Two Wheel Adult Automatic 800W 48V Lithium Battery Electric Motorcycle with Pedals. Moreover,5GHz Antenna High Gain 16dBi Panel, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports, 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 (12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty), maintenance (loader with excavator grapple wheel mini for sale good quality), 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,5GHz 29.5dBi Die Cast Grid Antenna), and annual cost index of mineral processing equipment.No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with CE RoHS IP68 Reports, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,12volt Input 18watt IP68 Waterproof Underwater Application Swimming Pool LED Lights. Maximum MAER of 13.5% and minimum R²of 0.5GHz 23dBi Dual Polarized Panel Antenna -feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Custom Plastic Food Contact Packaging BagsYn725 Yineng Mini Wheel Loader 18.5kw No CabinCorresponding author