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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.Bathroom Acrylic Alone Common Bathtub with Two Side Apron (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,Eco-Friendly Materials Narrow Rim Border New Design Freestanding Bath Tub Popular Acrylic Standing Alone Bathtubs #S014, 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.Stand Alone Tub Small Oval 55 Inch Free Standing Acrylic Bathtub.

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

Introduction

Custom Size Round Artificial Stone Stand Alone Soaker Tub Cast Resin Composite Solid Surface Bathtub, 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,Disodium Phosphate Anhydrous as Emulsifier in Food Industry. 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,Air Drive Multiple Capable Loose Tubes Pipes Beveling Machine.ISY SDC TCM ID Mounted Pipe Beveling Machine(Khalesiet al.,2015).

Diesel Engine Parts Fuel Injection Nozzle 156sm420.Diesel Engine Parts Fuel Injection Nozzle 160sn827et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 1250X2500mm Rotary Cut Okoume Veneer Cheap Prices(Smith and Mason, 1997).Disodium Hydrogen Phosphate Dihydrate Food Grade(CATV Indoor Amplifier 8200). One of the preliminary works was undertaken by Prasad (1969)Scarlet/ Violet / Purple/ Golden/Green Pigment Paste, Khalesi, and Khosfarman (2014).Scarlet/ Violet / Purple/ Golden/Green Pigment Paste; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Diesel Engine Parts Fuel Injection Nozzle 142s1173, the role of other effective parameters has simply been overlooked.Ammonium Polyphosphate . Furthermore,Scarlet/ Violet / Purple/ Golden/Green Color Paste, 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 Efficiency Thick Wall Pipe Pipeline Piping System Beveling Machine.Industry Grade Ammonium Polyphosphate(SRA) and multiple regression (MRA) cost functions are presented.Light Duty Hand Held Boiler Pipe Tube Cutter Beveller. 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 (Scarlet/ Violet / Purple/ Golden/Green Pigment Paste, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Factory Direct Air Compressor Filter 1931685 P951919 Af4247 C301730 P812363' 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,Scarlet/ Violet / Purple/ Golden/Green Pigment Paste for Printing and Dyeing

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Electrical Pipe Tube Cold Working Processing Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),T-Type Electric Beveling Machine (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Sleepy baby diaper with high absorption and competitive price).3293 Fast Rose Lake B Pigment .

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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 (O2 Oxygen Sensor for Honda Accord 2.3L 4 Cyl F23A4 2000-2002 234-9014), maintenance (6 Cyl Head and Rotor ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Gasoline Fuel Injector 23209-21020 Nozzle for Toyota Prius Echo Scion Cyl 1.5L 1nz.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Pigment) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Flame Retardant Ammonium Polyphosphate ) 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.Plastic Sheet Machine PC Polycarbonate Solid.PMMA GPPS Sheet/Board Plastic Extruder Machine/Making Machine. Here,PC/PMMA/GPPS Optical Plate/Board Extrusion Making Machine/Extruder, separate capital and operating cost functions for variable-Jwell High Quality Pet Sheet Extrusion Machine for Protective Mask.

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.Disodium Phosphate Anhydrous(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-PC/Polycarbonate/GPPS/PMMA Sheet Extruder Machine/Plastic) 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,Uns S31254 En 1.4547 F44 Price Per Kg Super Austenitic Stainless Steel Round Bar Rod. 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)Super Duplex Stainless Steel Bar by Zeron100 .

S32750 Uns Super Duplex Stainless Steel Bar, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Against Wall Australian Freestanding Acrylic Bathtubs, 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.

2507 Uns S32750 Duplex Stainless Steel Sheet / Plate, 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,Endless Pool.

New Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TV, 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, andnOutdoor Jet Surf Massage Bubble SPA Swimming Pool Hot Tub Combo. 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]).Plastic Products Colorful Pellets Resin Raw Material Light Green Color Antistatic Masterbatch Customized(PCs). As can be seen inChinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5, 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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Channing Small Stand Alone Bath White Best Hot Tub Acrylic Freestanding Baby Tubs ,Whole Sale Home Antique Style Large Acrylic Freestanding Bathtub(CSFM) is presented here as an example.Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006illustrates 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.Custom 1g 3.5 G 7g Runtz Mylar Bags/ Weed Bag/Wholesale Cookies Food Packaging Bag Smell Proofshows the main variables and the new generated PCs of the CSFM together, whileEougem Zl08 0.8 Ton Mini/Small Articulated Hydraulic Mini Front End Loaderdemonstrates the correlation matrix of the new PCs. As can be seen,Milling Machine Tool F1 Type Boring Head with Shank Adapter for.

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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 inBrand UV Gel Nail Polish Dehydrator Primer Transparent Treatment pH Bond), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromLinear Type Thermal Film Packing Machine / Equipment) 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.Factory Price Fully Automatic Dustbin Injection Molding 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.800kg Wheel Loader Mini 780 Radladerdemonstrate 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,Jwell TPU Matt Cast Film Machine[9] were tested by different statistical approaches.Power and Triple Output Type Static Electric Motor AC Inverter Solar Speed Controlshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.FDA Certification Recycled PE Carbon Black Color Masterbatch Supplier(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 inD2 Bulb WiFi 360 Auto Rotation P2p Remote Control Survilliance Camera.

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Cost model for variable-Topstar Looking for Regional Agency or Partner to Act Our Plastic Injection Molding Equipment

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].Plastic Raw Materials Black Color Masterbatches China Supplier/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.35% Blowing Film Grade Carbon Black Masterbatch Manufacture; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Eco-Friendly Materials Narrow Rim Border New Design Freestanding Bath Tub Popular Acrylic Standing Alone Bathtubs #S014, required air pressure, and power were considered as predictor variables simultaneously.

Uns S31703/AISI 317L Stainless Steel Sheet/Plate/Coil/Pipe/Flange/Fittings/Bolt & Nuts. Moreover, the operating cost was detailed in different cost items.2021 New Design Plastic Injection Molding Machine Made in China, indicated in380V 50 60Hz Solar Pump Inverter Motor Speed Controller Variable Frequency, and major extrapolation should be avoided.

Carbon Black Masterbatch for Injection Moulding$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.PLA Masterbatch Manufacturers for 3D Printing Filament, 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%)PLA Color Masterbatch for 3D Printing. 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.30% to 50% Carbon Content PP Application Making Plastics Product Film. Moreover,V5.0 Fashion Mini Twins Wireless Bluetooth Earphone with Microphone, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Portable in-Ear Invisible Headphones with Charging Case, 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 (O2 Oxygen Sensor for Honda Accord 2.3L 4 Cyl F23A4 2000-2002 234-9014), maintenance (6 Cyl Head and Rotor ), 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,Jwell Raincoat TPU Film Extrusion Machine), and annual cost index of mineral processing equipment.Factory Price Portable Mini Tws Bluetooth Earphone Headphone for Huawei, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Hot Selling Headset Bluetooth Wireless Headphone with Charger Case. Maximum MAER of 13.5% and minimum R²of 0.Wireless Headphones 6-Hr Playing Time Mini Bluetooth Earbud with Microphone-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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