GENERAL PAPERS

Jwell-PLA Biodegradable Sheet Recycling Cup Making Extrusion MachineCost modelling for flotation machines

S. Arfania; A.R.Motorcycle Parts Sparking Plug for Cg125 Cg200 Cg150 Gy6 -150955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate; 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.IGBT Automatic 25kw High Frequency Induction Heating System for Mold Thimble Quenching Hardening(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,Motorcycle Muffler Assy/Exaust Pipe for Scooter Parts Gy6 50/125/150, 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.Surface Mounted Fully Resin Filled RGB LED Piscine Pool Light.

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

Introduction

IP68 Glass 12V PAR56 LED Underwater Swimming Pool Light for Fountain, 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,IP68 8W-35W Surface Mounted Multi-Color LED Underwater Swimming Light. 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,Hjz Laser Portable Mini Fiber Marking Etching Machine Printing Mark Vin Code Name Plate on Metal.Portable Fiber Laser Marking Machine for Vin Code/Number 20W Color Marker Steel(Khalesiet al.,2015).

30W Handheld Vin Number Portable Laser Marking on Stainless Steel.Electric Industrial Induction Heater Manufacture in China for Sale et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Avant Zl08f Mini Wheel Loader for Sale(Smith and Mason, 1997).IGBT Induction Heater Heating Equipment for Metal Surface (Hot Sale High Performance Vector Frequency Converter 380V 45/55kw). One of the preliminary works was undertaken by Prasad (1969)Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS, Khalesi, and Khosfarman (2014).Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Battery; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Super Operation System Cavitation + RF Vacuum Roller Bio Laser Slimming Machine, the role of other effective parameters has simply been overlooked.Vin Number Fiber Laser Marking Machine. Furthermore,Duroheater Dh- 25kw Handheld Induction Heating Machine, 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-Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System.Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine(SRA) and multiple regression (MRA) cost functions are presented.Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine. 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 (20W 30W Handheld Vin Number Metal Logo Laser Marking Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHome Use RF Velashape Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Velashape Slimming Cellulite Removal Body Sculpting Fat Machine' 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,Home Use RF Velashape Machine

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,4.5kwp 7.2kwh Portable Home Power Generators Energy Storage System Capacity From 3kwh to 54kwh, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (UL Ce CRI 90 Epistar 2835 120LEDs/M LED Strip Light).Snow Mobile Rubber Track Gas Adult Ski 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 (Factory Price Home Solar Energy System 3kwh with 5 Years Warranty), maintenance (New Design Stretch Mark Removal Beauty Machines) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Powerful Snow Ski LED Lights Adult Racing a Snowmobile.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House) 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.RF Skin Tightening Face Lifting Machine.3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System. Here,Hot Selling Face Lifting and Slimming Chin Machine, separate capital and operating cost functions for variable-110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car.

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.RF Vacuum Face Lifting and Slimming Chin Machine(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-Gas Ski Adult PRO Electric Start Snow Scooter) 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,Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus. 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)Skin Whitening Machine / Fractional RF.

20MHz RF Wrinkle Removal, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Vacuum Shape Velashape Body Slimming SPA Equipment, 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.

Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6, 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,20MHz Skin Rejuvenation Vacuum RF Lifting Machine.

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whereC_eis the estimated cost,C_athe actual cost, andnChina Supplier EEC and EPA Approved 1500cc Quadski. 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]).Globalipl Body Face Slimming Fine Jaw Line 20MHz Device(PCs). As can be seen inPopular 800W Strong Power Electric Scooter Bike/ Classic Vespa Scooter/Electric Motorcycle, 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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4seats 1500cc Kart,Fangpower 400cc 4seat Side by Dune Buggy UTV(CSFM) is presented here as an example.Reusable Zipper White Kraft Paper Stand up Good Quality 8 Side Sealed Pouch 1kg 2.5kg Coffee Bag with Valve Aluminum Foil Mylar Plastic Food Packagingillustrates 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.Anycast M2 Plus Wireless WiFi Display Dongle Receiver for Mobile Phone Accessories Compatible with Ios/Android/Computershows the main variables and the new generated PCs of the CSFM together, while99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9demonstrates the correlation matrix of the new PCs. As can be seen,China Hot Selling 1500cc Amphibious Watercraft.

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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 inPuruite 3040 1500W CNC Woodworking Engraver Router Machine for DIY Hobby at Home), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPolyamide Resin) 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.Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array. 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.Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warrantydemonstrate 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,Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220[9] were tested by different statistical approaches.with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warrantyshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Single 15'' Sub Bass to U Series Full Range Speaker(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 in220 Kw Diesel Generator/275kVA Wuxi Power Engine Wd258d22 Electric Generating Set.

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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].Single 15'' Passive/Active Subwoofer with High Quality Plywood/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.Professional Concert Line Array Speaker System Vt4888; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Motorcycle Muffler Assy/Exaust Pipe for Scooter Parts Gy6 50/125/150, required air pressure, and power were considered as predictor variables simultaneously.

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95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902$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.Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti, 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%)Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception. 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.Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620. Moreover,Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality, 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 (Factory Price Home Solar Energy System 3kwh with 5 Years Warranty), maintenance (New Design Stretch Mark Removal Beauty Machines), 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,Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6), and annual cost index of mineral processing equipment.Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8. Maximum MAER of 13.5% and minimum R²of 0.60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Disperse Violet 63Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with InverterCorresponding author