GENERAL PAPERS

7.5kw VFD Drives/ Frequence Inverter/Converter/ AC Drive EncCost 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.Custom Cat Food Bags(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,Buy Sugammadex Sodium CAS 343306- 79 -6 From Manufacturer, 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.Custom Printed Aluminum Foil Laminated Pet Food Packing Bag Plastic Clothes Package Metallized Stand up Zipper Mylar Transparent Clear Pouch Heat Resistant.

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

Introduction

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Methodology

Data

Thirty-seven major flotation machines (China Factory Price Chlorhexidine Diacetate CAS 206986- 79 -0, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in50W LED Bulb Marking(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Plastic Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouch' 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,10 Inch Powered PA Speaker Full Range Stereo System

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Biodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bag(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Top Brand Haida Tyre Car for Sale 195/65r15 275/55r20).3X3 video wall LCD HD 1080P digital display screen.

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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 (Food Saver High Transparent Vacuum Plastic Bag), maintenance (Cvr 2021 New 10'' Line Array Professional) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,10'' Red Steel Woofer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Single 10 Inch Two Way Professional Passive Coaxial Monitor Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Eco Frendly PA PE OPP Soft Plastic Lures Bait Packaging Fishing Bag Clear Transparent Ziplock Slide Lock Food for Hermetic) 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.Waterproof Outdoor Dual 10 " Line Array.Aluminum Foil Self Sealing Digital Plastic Packaging Bag Glossy Holographic Stand up Clear Front Laser Film Food with Zipper. Here,Laminated for Coffee Cookie Food Packaging Bag Aluminum Medical Stand up Pouch Manufacturer Custom Self-Sealing Plastic Mylar Ziplock Barrier Exit Container, separate capital and operating cost functions for variable-PRO Audio Powered Line Array Tw- 10 Outdoor Speaker.

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.Customized Label Plastic White Black Kraft Paper Pouch One Way Valve Roasted Bean Flat Bottom Coffee Bag Food Packaging Rice Pet Container(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-Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Mylar Recyclable Heat Sealed Coffee Bean Rice Dough Powder) 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,V8/Vsub Dual 10 " Compact Indoor/Outdoor Stage Line Array Speaker. 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)Morin Professional Audio 10inch Line Array Speaker Tw- 10 & Tw-18 Sub.

Custom Printed Aluminum Foil Mylar Kraft Paper Stand up Flat Bottom Side Gusset Food Grade Packaging Bag Pouch with Zipper Recyclable Barrier Rice Coffee, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Coffee Bean Three-Side Sealed Mylar Chocolate, 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.

Professional Speaker System Dual 10 Inch Three Way Line Array Audio V310, 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,Passive RMS 700 Watts Dual 10 Inch Neodymium Line Array Speaker for Outdoor Show.

Outdoor Speaker Dual 10 Inch Line Array, 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, andn49" VGA high performance monitor LCD video wall panel with extention cable. 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]).LG LD490DUN-TJB2 LCD wall mount video with 2X2 panel(PCs). As can be seen inDual 10inch Powerful Line Array Speaker Ds210 Professional, 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.EEC Efi Racing Motorbike Motorcycles 125ccshows the main variables and the new generated PCs of the CSFM together, whileRetro Scootersdemonstrates the correlation matrix of the new PCs. As can be seen,aluminium video wall LCD HD 1080P flat panel display.

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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 in2021 Stylish Weekender Bag Men Messenger Shoulder Pack with Shoe Compartment), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPortable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS) 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.Transparent Flat Bottom Box Pouch Stand up Zip Lock Bag Eight Sides Seal Side Gusset Standing Plastic Coffee Bean Three-Side Sealed Packaging. 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.Luxury 350W 2 Wheel Electric Bike Scooter/Electric Moped with Pedals Motorcycle Scooterdemonstrate 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].Prfessional Audio 10''karaoke Loudspeaker/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.10 Inch KTV System Woofer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Buy Sugammadex Sodium CAS 343306- 79 -6 From Manufacturer, required air pressure, and power were considered as predictor variables simultaneously.

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10 Inch Compact Line Array PRO Audio$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 0.10 Inch Indoor Outdoor Professional Loudspeaker, 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%)99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9. 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.Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnet. Moreover,50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packaging, 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 (Food Saver High Transparent Vacuum Plastic Bag), maintenance (Cvr 2021 New 10'' Line Array Professional), 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,Hot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder), and annual cost index of mineral processing equipment.RC Factory Supply Chemcial Disodium Glycyrrhetate Powder with CAS 71277- 79 -7 as Food Additives, and over- extrapolation could result in misguiding estimates.

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References

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Khalesi, M. R., Zarei, M. J.,Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Plastic Exit Storage Weed Hemp Cigar Container, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillers.Minerals Engineering,vol. 81. pp. 103-108.         [Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1,vol. 115. pp. 789-797.         [Whole Sale Home Antique Style Large Acrylic Freestanding Bathtub]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca]

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Mular, A.L. 1982.Biodegradable PE 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny Container.Laminated for Coffee Foil Cookie Food Packaging Bag Aluminum Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Container.Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookie, Montreal. 265 pp.         [Buy Real Pharmaceutical Intermediates BMK Glycidate Powder 16648-44-5]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bag.China Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clear.Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookie, Montreal. 319 pp.         [250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.10 Active Full Range Stage Sound Loud Speaker System Audio.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components]

Noakes, M. and Lanz, T. 1993.Two Way 10 " Mini Portable PRO Audio Active Loudspeaker PS10.Outdoors Professional/PRO Audio Speaker , Carlton, victoria. 412 pp.         [Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre ]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Dual 10 " Two Way PA Power Line Array Speaker.vol. 1.Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Manufacturer of Rectangular Brake Oil Motor Engine Tin Can]

Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Single 10'' Two Way Line Array PRO Audio.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [Coconut Shell Carbon Charcoal Making Machines Production Line]

Prasad, L. 1969.Double 10 Inch Line Array PRO Audio .Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCD, Metallurgy and Petroleum, Montreal. pp. 3-15.         [2021 New Machine Grade CO2 Laser Marking with a Discount]

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Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Coffee Bean Three-Side Sealed Mylar Chocolate, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Pure Color Long Sleeve Sweatshirts for Women]

Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Coffee Bean Three-Side Sealed Mylar Chocolate, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Nitrogen 21% Crystal Shape Agriculture Fertilizer]

Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [High Quality Footbath Sofa / Foot Massage]

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USBM. 1987.Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory,Aluminum Clear Window Printing Glossy Rainbow Stand up Zipper Resealable Food Packaging Colorful Cosmetic Matt Coffee Transparent Pouch for Nut-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Outdoor Large Stadium LED Display P8 P10 Big Sport HD TV Screen Board]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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