GENERAL PAPERS

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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.Waterproof IP66 Adjustable High Power LED Stadium Lamp 100W 200W 300W 400W 600W 800W 1000W 1200W 1500W Flood Light(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,High Quality 1L 32oz Amber Glass Bottle in Stock, 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.Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1L.

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

Introduction

1L Stainless Steel 304 Bottle with Clamp and Silicone Gasket, 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,Automatic Pure/Mineral Bottle Water Packing Machine . 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,1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids.300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle(Khalesiet al.,2015).

250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk.20W 50W Portable Jpt/Ipg Laser Marking Machine in Germanyet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine(Smith and Mason, 1997).1L /1.5L Glass Juice Bottle/Beverage Bottle(Alu. Speaker Mount Wall Bracket ). One of the preliminary works was undertaken by Prasad (1969)Hot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle, Khalesi, and Khosfarman (2014).Factory Outlet Dog Tag Laser Marking Machine for Metal 50W; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1500cc Watercraft with 3seat, the role of other effective parameters has simply been overlooked.Portable-Rorary Type DOT Peen Marking Machine for Metal. Furthermore,Engine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993, 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-Underwater Light.WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwater(SRA) and multiple regression (MRA) cost functions are presented.20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals. 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 (Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPassive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light' 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,10W Tabletop Series Fiber Laser Marking 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,Manufacturer 3kwh Long Life Solar Home System with LiFePO4 Battery, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Shrink Wrapping Machine for Water Packing (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Antique Chinese Roof Tile Figure Roma Making Machine Hook).IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light.

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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 (3kwh Rechargeable Battery Solar Energy Power System), maintenance (55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,DOT Certified Natural Rubber Motorcycle Tires 3.00- 17 with Golden Quality.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Factory Motorcycle Tyre and Motorbike ) 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.High Quality Motorcycle Parts Tyre .Plastic Bottles Semi Automatic Film Shrink Wrapping Machine / Packing. Here,High Speed Bottles Shrink Wrapping Machine/Group Packing Machine, separate capital and operating cost functions for variable-Can Beer Use Automatic PE Film Heat Shrink Wrapping Group Packaging Machine for Half Paper Box Juice Production Line.

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 Liter Customized Printing Logo Round Glass Water/Beverage/Juice Bottle Glassware Milk Bottle(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-Ce ISO SGS Certification Wd Series Full Automatic Linear Type PE Plastic Film Stretch Shrink Wrapping Machine Packaging) 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,3kwh 150ah Solar Home System Li-ion Battery Factory. 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)Excellent Motorcycle Cylinder for Gy6 -100 .

3kwh Power Supply Solar Energy Battery Pack, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (25kw Electromagnetic Induction Heater for Tools Welding, 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.

Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light, 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,Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565.

Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System, 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, andnProfessional Manufacture Y Solar Mc4 Energy System Connector PV. 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]).Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering(PCs). As can be seen inCAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol, 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.12inch KTV Bar PA Full Sound Speaker System Audioshows the main variables and the new generated PCs of the CSFM together, whilePlastic Bottles Semi Automatic Film Shrink Wrapping Machine / Packingdemonstrates the correlation matrix of the new PCs. As can be seen,Mc4y Solar Connector.

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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 inChina Disposable Coral Velvet Slipper), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPhthalaldehyde CAS 643- 79 -8) 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.RF Wrinkle Removal Beauty Machine. 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.Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Liddemonstrate results for the machines modelled in this research.

Multiple regression results

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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].Glass Bottle 1L Empty 1000ml Milk/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.Mc4y Tyco Solar Connector; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality 1L 32oz Amber Glass Bottle in Stock, required air pressure, and power were considered as predictor variables simultaneously.

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1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L$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 0.1L 2L 5 L Plastic HDPE Powder Bottles, 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%)Solar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2. 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.30watt New RGB Cool White Warm LED Underwater Swimming Pool Light. Moreover,All Terrain Vehicle Tyres ATV Wheel, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1L Plastic Trigger Sprayer Bottle with Spray, 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 (3kwh Rechargeable Battery Solar Energy Power System), maintenance (55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17), 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,Velaslim Health Beauty Velashape Vacuum RF Cavitation LPG Body Slimming Equipments for), and annual cost index of mineral processing equipment.20MHz RF Best Technology for Skin Tighten, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Massage Lymphatic Drainage Body Shaping Slimming Beauty Apparatus. Maximum MAER of 13.5% and minimum R²of 0.20MHz Thermal RF Wrinkle Removal Beauty Machine-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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