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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin Cost modelling for flotation machines

S. Arfania; A.R.Good Packed Bottle PE Film Shrink Wrapping Machine China49 Inch Portable Alone Standing LED LCD Poster Digital Menu Board; 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.ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17(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,25kw High Frequency Induction Heater for Bolts&Rivet, 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.Fractional RF Vacuum Slimming Machine for Lose Weight.

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


Introduction

Online Flying Laser Marking Machine for Operation Line, 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,Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line. 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,Portable 20Hz RF Face Lift Machine.ISO9001 Motorcycle Spare Part Tubeless Motorcross Tire Size 100/90- 17(Khalesiet al.,2015).

DOT Certified off Road Chinese Motorcycle Tire 3.00- 17.Linear Type Thermal Film Packing Machine / Equipmentet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 800ml Square Metal Containers(Smith and Mason, 1997).Good Solutions 3kw Solar Home Energy off Grid System(1L Custom Round Small Metal Empty Tin Cans with Lids). One of the preliminary works was undertaken by Prasad (1969)Jalyn Motorcycle Spare Parts Speedometer Assy Fits for Gy6 /Hunter, Khalesi, and Khosfarman (2014).25kw High Frequency Induction Heat Soldering Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Super Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood Light, the role of other effective parameters has simply been overlooked.10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine. Furthermore,Beverage Water Packing Equipment , 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-Automatic Shrink Wrapping Machine 0-20package/Min.Automatic Bottle PE Film Shrink Wrapping Packing Machine (SRA) and multiple regression (MRA) cost functions are presented.Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching. 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 (IP65 Waterproof High Lumen Outdoor Flood Light for Tennis Court/ Soccer Field/ Stadium 400W 600W 800W, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inKomatsu Boom Cyl Ket for PC400-6(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Waterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharf' 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,High Quality 1L 32oz Amber Glass Bottle in Stock

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1L, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),1L Stainless Steel 304 Bottle with Clamp and Silicone Gasket(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Electrical Door Panel Spreading Machine).Automatic Pure/Mineral Bottle Water Packing Machine .

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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 (1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids), maintenance (300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (20W 50W Portable Jpt/Ipg Laser Marking Machine in Germany) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1L /1.5L Glass Juice Bottle/Beverage Bottle) 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.Hot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle.Factory Outlet Dog Tag Laser Marking Machine for Metal 50W. Here,1500cc Watercraft with 3seat, separate capital and operating cost functions for variable-Portable-Rorary Type DOT Peen Marking Machine for Metal.

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.Engine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993(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-Underwater Light) 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,WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwater. 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)20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals.

Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Light.

150ah 3kwh Power Supply Deep Cycle Rechargeable Solar Battery, 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).

whereCeis the estimated cost,Cathe actual cost, andn8mm Thickness 160mm 8watt DC12V RGB LED Swimming Pool Underwater 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]).10W Tabletop Series Fiber Laser Marking Machine(PCs). As can be seen inHD250-5/7 Arm Boom Bucket Cylinder Seal Cyl for Kato, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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Shrink Wrapping Machine for Water Packing ,IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light(CSFM) is presented here as an example.Online Flying Laser Marking Machine for Operation Lineillustrates 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.Made in China Strong Compact Mini Front Loader shows the main variables and the new generated PCs of the CSFM together, whileWholesale Round Food Packaging Empty Tin Metal Cooking Oil Cansdemonstrates the correlation matrix of the new PCs. As can be seen,3kwh Rechargeable Battery Solar Energy Power System.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated in4 Feet Automatic Wood Round / Debarker High Quality Rounding Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromL Auto Gas LPG Conversion Kit / Car 4 Cyl Sequential Injection 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.DOT Certified Natural Rubber Motorcycle Tires 3.00- 17 with Golden Quality. 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.Gt1544s 454083-0001 1002829 Garrett Engine Turbo for Vw Passatdemonstrate 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,55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17[9] were tested by different statistical approaches.2.4GHz Outdoor Wireless Bridge 300Mbps Tdma High Power 500MWshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Factory Motorcycle Tyre and Motorbike (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 in32inch LED TV DVB- T2s22 with CE Certificate.

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Cost model for variable-High Quality Motorcycle Parts Tyre

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 Bottles Semi Automatic Film Shrink Wrapping Machine / Packing/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.High Speed Bottles Shrink Wrapping Machine/Group Packing Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,25kw High Frequency Induction Heater for Bolts&Rivet, required air pressure, and power were considered as predictor variables simultaneously.

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Ce ISO SGS Certification Wd Series Full Automatic Linear Type PE Plastic Film Stretch Shrink Wrapping Machine Packaging$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 0.3kwh 150ah Solar Home System Li-ion Battery Factory, 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%)Excellent Motorcycle Cylinder for Gy6 -100 . 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.3kwh Power Supply Solar Energy Battery Pack. Moreover,25kw Electromagnetic Induction Heater for Tools Welding, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light, 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 (1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids), maintenance (300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle), 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,Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565), and annual cost index of mineral processing equipment.Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Professional Manufacture Y Solar Mc4 Energy System Connector PV. Maximum MAER of 13.5% and minimum R2of 0.Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering-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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