GENERAL PAPERS

Q210 Passive PA Speaker SystemCost modelling for flotation machines

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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.220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use(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,Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market, 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 0.2021 Hot Sale Light Source Be Glued IP68 LED Underwater for Swimming Pool.

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

Introduction

4GB32GB 4K Android TV Box Digital Display T95X2 with Amlogic S905X2 Internet Quad Core CPU Media, 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,220V 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor 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,Laptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5.220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh Charging Appliances Rated Power Under 1500W Outdoor & Indoor Use(Khalesiet al.,2015).

Solar & Mains Storage Battery Charger with Inverter to 80AC 3840wh.Camping Power / RV LiFePO4 Energy Storageet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywood(Smith and Mason, 1997).3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate(Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer). One of the preliminary works was undertaken by Prasad (1969)Flying Online Fiber Laser Marking Machine with Conveyor Belt, Khalesi, and Khosfarman (2014).3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 Years Warranty, the role of other effective parameters has simply been overlooked.Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa. Furthermore,Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi, 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-381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer.IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer(SRA) and multiple regression (MRA) cost functions are presented.CCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Devices. 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 (100W Full Enclosed Fiber Laser Marking Machine with Safe Cover, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in18" Die Cast P-Auido Style Aluminum Frame(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser' 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,High Quality Cheap 200cc and 150cc Farm Utility ATV

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1GHz Outdoor Bi-Directional CATV Amplifier, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),New Mini Willys Jeep Available on 110cc(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Professional High Quality Portable USB 6W Mini LED UV Nail Lamp for Gel Polish Drying).Hot Sell 800W Delivery City Electric Scooter for Take-out Business.

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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 (2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric), maintenance (My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3kw Liquid Cooling UHF Digital TV Transmitter DTV.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (IN-AC5L ICEN WiFi Wireless Linear Ultrasound Probe Scanner) 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.Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module .Bi-Directional Transmission Distribution Amplifier SA822. Here,Encryption Ts Satellite IRD, separate capital and operating cost functions for variable-Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods.

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.Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike(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-2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad) 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,Closed Canvas Box 2 Ton 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)Sanyou 125cc Efi System with Delivery Box Gas Scooter.

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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.

250cc Oil Cooling Dirt Bike with EPA, 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,Sanyou Slg New Efi System 125cc -150cc Gasoline Scooter.

250cc Gasoline off Road Motorbike, 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, andn0.6m 5GHz Parabolic Antenna with Gain 28dBi. 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]).Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart(PCs). As can be seen inWhite Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic, 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.5GHz High Power Outdoor Wireless CPE Ap by Factory Isigalshows the main variables and the new generated PCs of the CSFM together, while10W Tabletop Series Fiber Laser Marking Machinedemonstrates the correlation matrix of the new PCs. As can be seen,The Newest 110cc 125cc 150cc Toyota Mini Buggy .

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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 inOppein Australia Villa Modern White Lacquer Double Bathroom Vanity), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromYog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterz) 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.High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty. 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.Food Additives L-Arginine with Low Pricedemonstrate 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,0.4m 5GHz Parabolic Antenna with Gain 23dBi[9] were tested by different statistical approaches.Cheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adultshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on 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 inTwo Person Corner Massage Bathtub Tmb033.

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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].IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light/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.Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market, 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.150cc Quad 4WD ATV for Adults. Moreover,Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip, 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 (2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric), maintenance (My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe), 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,2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty), and annual cost index of mineral processing equipment.5kw Grid Tied Solar Inverter Three Phase for Home Use, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,High Quality Solar PV Grid- Tied Inverters. Maximum MAER of 13.5% and minimum R²of 0.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

High Quality 2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5Corresponding author