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Online Flying Laser Marking Machine for Operation LineCost modelling for flotation machines

S. Arfania; A.R.10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper MachineMade in China Strong Compact Mini Front Loader ; 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.Beverage Water Packing Equipment (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,Automatic Shrink Wrapping Machine 0-20package/Min, 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.Automatic Bottle PE Film Shrink Wrapping Packing Machine .

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

Introduction

Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching, 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,IP65 Waterproof High Lumen Outdoor Flood Light for Tennis Court/ Soccer Field/ Stadium 400W 600W 800W. 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,Waterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharf.1L HDPE Plastic Bottle Chemical(Khalesiet al.,2015).

Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlight.Waterproof IP66 800W Rotatable Outdoor High Mast Flood Lamp LED for Harbor Wharf Football Tennis Sport Court Stadium Airport Golf Course Lightinget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Motorcycle for 1405mm of Wheel Base(Smith and Mason, 1997).Waterproof IP66 Adjustable High Power LED Stadium Lamp 100W 200W 300W 400W 600W 800W 1000W 1200W 1500W Flood Light(Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans). One of the preliminary works was undertaken by Prasad (1969)High Quality 1L 32oz Amber Glass Bottle in Stock, Khalesi, and Khosfarman (2014).Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1L; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1L Stainless Steel 304 Bottle with Clamp and Silicone Gasket, the role of other effective parameters has simply been overlooked.Automatic Pure/Mineral Bottle Water Packing Machine . Furthermore,1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids, 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-300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle.250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk(SRA) and multiple regression (MRA) cost functions are presented.20W 50W Portable Jpt/Ipg Laser Marking Machine in Germany. 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 (1L /1.5L Glass Juice Bottle/Beverage Bottle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality 8'' Coaxial Audio Speaker for Long Throw Distance(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle' 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,Underwater Light

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwater, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Facory Price Wholesale Custom 3D Fashion Logo Webbing Seat Zinc Alloy/Brass/Western High-Quality Belt Buckle).Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic.

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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 (8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light), maintenance (IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Light.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (150ah 3kwh Power Supply Deep Cycle Rechargeable Solar Battery) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (8mm Thickness 160mm 8watt DC12V RGB LED Swimming Pool Underwater Light) 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.10W Tabletop Series Fiber Laser Marking Machine.Manufacturer 3kwh Long Life Solar Home System with LiFePO4 Battery. Here,Shrink Wrapping Machine for Water Packing , separate capital and operating cost functions for variable-IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light.

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.3kwh Rechargeable Battery Solar Energy Power System(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-55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17) 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,DOT Certified Natural Rubber Motorcycle Tires 3.00- 17 with Golden Quality. 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)55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17.

Professional Factory Motorcycle Tyre and Motorbike , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality Motorcycle Parts Tyre , 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.

Plastic Bottles Semi Automatic Film Shrink Wrapping Machine / Packing, 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,High Speed Bottles Shrink Wrapping Machine/Group Packing Machine.

Can Beer Use Automatic PE Film Heat Shrink Wrapping Group Packaging Machine for Half Paper Box Juice Production Line, 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, andn1L Liter Customized Printing Logo Round Glass Water/Beverage/Juice Bottle Glassware Milk Bottle. 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]).Ce ISO SGS Certification Wd Series Full Automatic Linear Type PE Plastic Film Stretch Shrink Wrapping Machine Packaging(PCs). As can be seen inL Auto Gas LPG Conversion Kit / Car 4 Cyl Sequential Injection System, 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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Excellent Motorcycle Cylinder for Gy6 -100 ,3kwh Power Supply Solar Energy Battery Pack(CSFM) is presented here as an example.Gt1544s 454083-0001 1002829 Garrett Engine Turbo for Vw Passatillustrates 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.2.4GHz Outdoor Wireless Bridge 300Mbps Tdma High Power 500MWshows the main variables and the new generated PCs of the CSFM together, while2856 3kVA/5kVA/8kVA/10kVA/12kVA Solar on-Grid Power System for Home/Office/Farm/Hoteldemonstrates the correlation matrix of the new PCs. As can be seen,25kw Electromagnetic Induction Heater for Tools Welding.

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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 inPromotion Men Perfumes Hot Selling Fragrance), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFree Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor) 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.Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565. 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.Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDFdemonstrate 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,Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System[9] were tested by different statistical approaches.5GHz 18dBi Dual Polarization Sector WiFi Antennashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Manufacture Y Solar Mc4 Energy System Connector PV(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 in12V 1A AGM Desktop AC Adapter Battery Charger with Alligator Clip Connector for Europe.

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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].Highly Quality 1500V Solar Mc4 Energy System Connector IP67 PV/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.24watt New RGB Cool White Warm LED Underwater Swimming Pool Light; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Automatic Shrink Wrapping Machine 0-20package/Min, required air pressure, and power were considered as predictor variables simultaneously.

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1000V Solar Mc4 Energy System Connector IP67 PV$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.RF Wrinkle Removal Beauty Machine, 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%)Thermal RF & Fractional Wrinkle Removal. 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.1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles. Moreover,Wrinkle Removal Super RF Beauty Machine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Glass Bottle 1L Empty 1000ml Milk, 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 (8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light), maintenance (IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming 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,Mc4y Tyco Solar Connector), and annual cost index of mineral processing equipment.Mc4 Electronic Connector, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles. Maximum MAER of 13.5% and minimum R²of 0.1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L-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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