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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.BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6(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,Portable 15inch PA Speaker F15+, 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.Pharmaceutical Chemical CAS 236117-38-7.

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

Introduction

Speaker 12 Inch SA-212 Professional Sound Box Portable Passive, 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,Speaker Tcx- 10. 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,PA Woofer Speaker T- 10 12 15.Passive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Sale(Khalesiet al.,2015).

Dual 10inch Professional PRO Audio Speaker System.10 " PRO Audio DJ Line Array Speaker Equipment Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price(Smith and Mason, 1997).Wholesale Factory Price CAS: 16648-44-5 BMK Glycidate Powder(1.2mm White Poplar Veneer From Factory for Exporting). One of the preliminary works was undertaken by Prasad (1969)Buy Real Pharmaceutical Intermediates BMK Glycidate Powder 16648-44-5, Khalesi, and Khosfarman (2014).10 " PRO Sound PA Line Array Loudspeaker Audio Speaker System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Big Outdoor Sound Equipment Active Dual 8" Line Array Speaker, the role of other effective parameters has simply been overlooked.Professional Powered Line Array Selfpowered Speakers Active System. Furthermore,MBN1503 PA Woofer , 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-Best Quality BMK Glycidate Raw Materials Fororganic Intermediates Bulk Price.Self Powered Generator Double 8 Inch Outdoor Sound Indoor Line Array(SRA) and multiple regression (MRA) cost functions are presented.Light and Durable Mixing Console Mg124cx Audio Mixer. 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 (Chassis/Dolphin/Powerful Speaker for Stadium, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Line Array with Accessories for PRO Audio' names:

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►Standard 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 Chloramphenicol CAS 56-75-7 China Factory Supplier, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality 99% CAS 16595-80-5 Levamisole Hydrochloride(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Durable Stainless Fish Tofu Machine).N- .

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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 (Kara Double 8 Inch Liner Speaker System Professional Audio Equipment), maintenance (Raw Material Anti Epilepsy Topiramate Powder 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,Dual 12 Inch Powered Line Array Active Sound System W-210bp.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5) 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.Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample.Kas DJ Speaker Dual Line Array 18 Inch Subwoofer. Here,Mini Speaker Line Array Wedding Decoraions DJ Mixer, separate capital and operating cost functions for variable-8 Ohm PRO Audio DJ Mixer Live Sound System.

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.Professional Stage Line Array System Dual 15'' Self-Powered Speaker(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-High Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9) 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,Topiramate. 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)99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3.

Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5, 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.

Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price, 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,Anesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk Price.

High Quality Nootropics Noopept CAS 157115-85-0 Best Price, 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, andnChina Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5. 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]).2021 Hot-Sale Lt12 Dual 12" Concert Line Array System(PCs). As can be seen inTg01 1 Inch Silk Dome Tweeter, 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.Electric Motorcycles shows the main variables and the new generated PCs of the CSFM together, whileFactory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0demonstrates the correlation matrix of the new PCs. As can be seen,Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker.

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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 in100% Poly Leisure Playful Fashion Jacquared Woven Men's Flower Lapels), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Line Array Speaker Neodymium Af15) 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.Line Array System with Parts for PRO Audio 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.350ml Brake Fluid Glue Tin Bottledemonstrate 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,Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System[9] were tested by different statistical approaches.Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Lifeshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Power Amplifier Module Board + Made in China 400 Watt AMP(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 inPuruite 3040 1500W CNC Woodworking Engraver Router Machine for DIY Hobby at Home.

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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].Tp01 Piezo Electric Dome Tweeter/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.Line Array of Parts for PRO Audio Speaker ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Portable 15inch PA Speaker F15+, required air pressure, and power were considered as predictor variables simultaneously.

Line Array with Accessories for PRO Audio . Moreover, the operating cost was detailed in different cost items.Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker, indicated inHome Application on Grid Tied Solar Power System 3kw, and major extrapolation should be avoided.

Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2$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.Tg01 1 Inch Silk Dome Tweeter, 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%)Professional Speaker Compective PRO Audio . 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 12inch Active Coaxial 29kg Line Array Speaker System. Moreover,Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant, 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 (Kara Double 8 Inch Liner Speaker System Professional Audio Equipment), maintenance (Raw Material Anti Epilepsy Topiramate Powder 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,Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5), and annual cost index of mineral processing equipment.Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,High Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9. Maximum MAER of 13.5% and minimum R²of 0.2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5-feasibility and even feasibility study level of projects.

References

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales]

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Khalesi, M. R., Zarei, M. J.,Trolley Large Audio Loudspeaker Box Professional Stage Active PA Speaker, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use.Minerals Engineering,vol. 81. pp. 103-108.         [Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks]

Kim, G.H., An, S.H., and Kang, K.I. 2004.900watt Amplifier Moudel Borad Chinese Class -D, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [High Purity and Good Price Glycolic Acid ]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder,vol. 115. pp. 789-797.         [Professional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA Speaker]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Small Fquequency Inverter/Converter for Mini Motor]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8.High Quality with Good Price Oxytetracycline HCl Powder.Hot Sale Professional Loudspeaker PRO Audio , Montreal. 319 pp.         [Factory Mining Tyre]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Chinese Factory for Vitamin a Palmitate 0.25miu Powder.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [24kVA St Series Single Phase Generator ]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price.vol. 1.Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywood]

Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Q1+Q Sub Sound & Light Installation High Performance in Concert Event.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [Professional Audio Powerful High Compact Line Array Speaker Best Lq10]

Prasad, L. 1969.Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker.Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker, Metallurgy and Petroleum, Montreal. pp. 3-15.         [High Purity 99.0%Min. Ademetionine Disulfate Tosylate ]

Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [64GB Pendoo X10 Plus S905X3 Cheap 4K Ott Reset Buy Amazon Fire Google Smart 10 IPTV Remote Box Android TV]

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Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Food Saver High Transparent Vacuum Plastic Bag]

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.         [Pipo X8 Mini PC Smart TV Box]

Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.Information Circular9170, 94. US Bureau of Mines.         [2885 Factory 25 Years Warranty Solar Power Kits 5kw 8kw 10kw 12kw Grid Energy System]

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USBM. 1987.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer,Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [New Arrival Artificial Quartz Stone Building Material Floor Tile]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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