GENERAL PAPERS

2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives PackingCost modelling for flotation machines

S. Arfania; A.R.Food Packaging BagMotorcycle with Dryweight 120-220kg; 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.High Quality Coffee /Candy/Weed /Hemp Plastic Container(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,Water Proof Child Coffee /Candy/Weed Plastic Container, 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 0.10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofer.

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

Introduction

Electronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Parts, 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,Donbn Dz- 10 Two Way Full Range Professional KTV Speaker. 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,Professional Speaker Double 10'' Neodymium Line Array.10'' Neodymium Coaxial Speaker. 250W & 60W Power Rating PA Audio.(Khalesiet al.,2015).

4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9.55" HD 1080P Commercial LED Screen Video Wall LCD Displayet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professsional Audio Professional Line Array Musical Instrument System(Smith and Mason, 1997).A+ grade LCD wall panel surveillance high brightness screen(Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729). One of the preliminary works was undertaken by Prasad (1969)Seamless 1920*1080 Pixel High Resolution LCD Monitor 49", Khalesi, and Khosfarman (2014).PA 10 -35W 5.25'' Sound Ceiling Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Samsung LTI550HN16 1920X1080P screen monitor LCD video wall, the role of other effective parameters has simply been overlooked.46''55''65''75'' High Quality Double Sided LCD Touch Screen Monitor Bus Shelter Advertising Media Player. Furthermore,High Purity Amino Acid L-Arginine Powder, 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 10inch Transducers PS10 for Best PA Speaker.Active 10 " Line Array with Calss-D Amplifier and Built-in DSP(SRA) and multiple regression (MRA) cost functions are presented.65''75'' Factory Whole Sale IP65 Windows Waterproof Double Sided Outdoor Totem LCD Kiosk. 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 (10 Inch High-Power Professional PA Subwoofer Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inStadium Banquet Hall Theater PRO Audio PA Speaker Line Array System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional 10 Inches Rcf Aluminum PA Speaker Frame' 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,Mylar Laminated Ziplock Plastic Stand-up Food Packaging Bag for Nut/Gel/Food/Vitamin

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,PA /CPP Rotort Pouch, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Manufactory Supplier Health Coffee Slimming Anti Ageing Tea Food Packaging Foil Bag Popcorn Envelope Plastic Mylar Pouch(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Promotion Zinc Alloy Metal Breast Lionesses Lapel Pin Badge).Chin Top Supplier Supply L- .

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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 (Pharmaceutical Industry CAS 643- 79 -8 O-Phthalaldehyde), maintenance (Analgesic Drug Medicine Raw Material 99% Pure API Powder CAS 15307- 79 -6 Diclofenac Sodium with Best Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,CAS 79 -14-1 70% Glycolic Acid Powder.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Supplier Disodium Glycyrrhizin 71277- 79 -7 Food Sweetener Exporter) 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.Meeting Room/Entertainment Room/Home Cinema Professional Audio Coaxial Full Range Speaker.Raw Material 99% Tretinoin Powder/Retinoic Acid CAS 302- 79 -4. Here,Bloom Tech API Ceftriaxone Sodium 104376- 79 -6, separate capital and operating cost functions for variable-St-10 10kw St-12 12kw St-15 15kw St-20 20kw Generator Alternator.

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.Generator Automatic Controller Eim 258 -9754 Engine Interface Module(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-99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0) 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,Custom Printed Food Grade Ziplock Plastic Pouch Packaging Bag. 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)PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade.

Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Temperature Vacuum Retort Pouch for Food Packaging, 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.

Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies, 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,Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer Bag.

High Barrier Vacuum Bag& Packaging Films for Food Pakcing, 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, andnCustom Plastic Vacuum Bag for Rice Packaging Bricks Bags. 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]).Oxygen Barrier Transparent Vacuum Plastic Bag(PCs). As can be seen inFull Automatic Liquid Pure Mineral Drinking Soda Water Bottle Labeling Packing Equipment, 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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DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755,Fruit and Vegetables Packaging Materials Vacuum Nylon Bag(CSFM) is presented here as an example.Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scannerillustrates 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.Perfect Laser Rotary DOT Peen Marker for Saleshows the main variables and the new generated PCs of the CSFM together, whileFree Clearance Local Anesthetic Pontocaine Topical Tetracaine Powder USA Warehouse CAS: 94-24-6demonstrates the correlation matrix of the new PCs. As can be seen,7 Layers or 9 11 Co-Extruded Freezer Food Storage Bag.

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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 inFamous Design Colored Nylon Handbags Laptop Backpack Bag), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from99% Tetracaine Hydrochloride/ HCl Powder CAS 136-47-0) 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.Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA Speaker. 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.Custom Plastic Vacuum Bag for Rice Packaging Bricks Bagsdemonstrate 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,10 Inch High Quality PA Speaker 10tbx100[9] were tested by different statistical approaches.Water Treatment Anticorrosive Ceramic Capacitor Micro Pressure Transmittershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PA Audio System 5" 10 -35W Ceiling 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 inCustom Logo Wholesale Zinc Alloy 3D Grape Shape Pin Badge From Chinacustom Beautiful Cheap Souvenir Metal Iron Gold Lapel in.

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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].10''stage professional Audio Speaker H- 10 for Stage/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.42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Water Proof Child Coffee /Candy/Weed Plastic Container, required air pressure, and power were considered as predictor variables simultaneously.

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55 Inch Stand Alone Digital Photo Booth LCD Advertising Display$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.Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk, 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%)USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6. 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.Wilson Parts Eim Module Engine Interface Control 258 -9753. Moreover,Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator, 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 (Pharmaceutical Industry CAS 643- 79 -8 O-Phthalaldehyde), maintenance (Analgesic Drug Medicine Raw Material 99% Pure API Powder CAS 15307- 79 -6 Diclofenac Sodium with Best Price), 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,Medrogestone Top Quality Low Price 977- 79 -7), and annual cost index of mineral processing equipment.Factory Supply High Quality Ademetionine 1, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,China Supplier 1. Maximum MAER of 13.5% and minimum R²of 0.Cosmetic Grade CAS 79 -14-1 Glycolic Acid Powder-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Yangtze Solar Power Grid Tied System Home 5kw 5KFood Grade Lactic Acid 79 -33-4Corresponding author