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Plastic Bottles Semi Automatic Film Shrink Wrapping Machine / PackingCost 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.Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic(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,8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light, 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.IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light.

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

Introduction

IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Light, 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,150ah 3kwh Power Supply Deep Cycle Rechargeable Solar Battery. 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,8mm Thickness 160mm 8watt DC12V RGB LED Swimming Pool Underwater Light.10W Tabletop Series Fiber Laser Marking Machine(Khalesiet al.,2015).

Manufacturer 3kwh Long Life Solar Home System with LiFePO4 Battery.Shrink Wrapping Machine for Water Packing et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Erbium-Doped Fiber Amplifier Optical Power Adjustable (Smith and Mason, 1997).IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light(32dBi 5GHz WLAN Antenna). One of the preliminary works was undertaken by Prasad (1969)3kwh Rechargeable Battery Solar Energy Power System, Khalesi, and Khosfarman (2014).55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,DOT Certified Natural Rubber Motorcycle Tires 3.00- 17 with Golden Quality, the role of other effective parameters has simply been overlooked.55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17. Furthermore,Professional Factory Motorcycle Tyre and Motorbike , 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-High Quality Motorcycle Parts Tyre .Plastic Bottles Semi Automatic Film Shrink Wrapping Machine / Packing(SRA) and multiple regression (MRA) cost functions are presented.High Speed Bottles Shrink Wrapping Machine/Group Packing 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 (Can Beer Use Automatic PE Film Heat Shrink Wrapping Group Packaging Machine for Half Paper Box Juice Production Line, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPhthalaldehyde CAS 643- 79 -8(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1L Liter Customized Printing Logo Round Glass Water/Beverage/Juice Bottle Glassware Milk 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,25kw Electromagnetic Induction Heater for Tools Welding

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Guangxi White Marble Tiles Slabs Floor & Wall).Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System.

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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 (Professional Manufacture Y Solar Mc4 Energy System Connector PV), maintenance (Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Highly Quality 1500V Solar Mc4 Energy System Connector IP67 PV.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (24watt New RGB Cool White Warm LED Underwater Swimming Pool Light) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1L High End Glass Vodka Wine Bottle with Matte Black Finish) 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.Mc4y Solar Connector.1000V Solar Mc4 Energy System Connector IP67 PV. Here,RF Wrinkle Removal Beauty Machine, separate capital and operating cost functions for variable-Thermal RF & Fractional Wrinkle Removal.

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.1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles(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-Wrinkle Removal Super RF Beauty Machine) 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,Glass Bottle 1L Empty 1000ml Milk. 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)Mc4y Tyco Solar Connector.

Mc4 Electronic Connector, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles, 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.

1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L, 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,1L 2L 5 L Plastic HDPE Powder Bottles.

Solar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2, 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, andn30watt New RGB Cool White Warm LED Underwater Swimming Pool Light. 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]).All Terrain Vehicle Tyres ATV Wheel(PCs). As can be seen inRound Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid, 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.Diesel Engine Parts Fuel Injection Nozzle 149s715shows the main variables and the new generated PCs of the CSFM together, whileNo Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chipdemonstrates the correlation matrix of the new PCs. As can be seen,Massage Lymphatic Drainage Body Shaping Slimming Beauty Apparatus.

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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 inChrome Paintball Badge Logo for Sale), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromDual 10 Inch Rated Power 700 Watts Italian Neodymium Drivers Active Line Array System) 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.Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light. 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 Smart Cargo Car Tricycle 800W 40km/H Long Running Rangedemonstrate 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,Color Changing Swimming Pool Lights[9] were tested by different statistical approaches.White Steel Wheel for Truck 17.5X6.00shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Body Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatus(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 inTorx Pin Csk Head Security Tapping Screw.

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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].Skin Tightening/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.Globalipl RF Roller Vacuum Slimming Apparatus; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light, required air pressure, and power were considered as predictor variables simultaneously.

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IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light$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.China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing, 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%)20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18. 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.Motorcycle Spare Part Oil Switch for Gy6 150. Moreover,20 Years ISO9001 Factory Professional All Terrain Motorcycle/Motors Tubeless/Tube Scooter ATV Mrf Rubber Tire/Tyre for Nigeria Egypt Bajaj Motorcy Ds137 2.75- 17, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18, 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 (Professional Manufacture Y Solar Mc4 Energy System Connector PV), maintenance (Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering), 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,DOT Peen Marking Machine Vin Touch Screen for Sale), and annual cost index of mineral processing equipment.Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928. Maximum MAER of 13.5% and minimum R²of 0.ATV Scooter Motorcycle High Quality Parts-feasibility and even feasibility study level of projects.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.New Model Solar Home System 3kwh with LiFePO4 Battery.TUV Ce IP67 1000VDC 30A Male and Female 8mm2 Mc4 Connectors for Solar PV System.Manufacturer Solar Home System 3kwh LiFePO4 Battery, Montreal. 319 pp.         [Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Portable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [2 Ton Loader 3 Wheel Cargo Tricycle]

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USBM. 1987.Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System,Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [925 Silver Fashion Jewelry Bracelet D001]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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