Abstract

Abstract In the article the costs of alternative roofing techniques in the life cycle of the building were calculated. The calculations were made in accordance with ISO 15686-5 standard “Buildings and constructed assets – Service life planning – Part 5: Life-cycle costing”, using normative durability periods and minimum period of annual consumption of individual building elements to determine the durability of building components. The normative periods are valid in Poland in relation to the valuation of buildings. Probabilistic costs in the life cycle of ceramic, metal and bituminous coatings were analysed. The probability density distributions were assumed: beta for pricing factors and normal for the interest rate. Calculations were carried out for the periods of 100 years of operation of coverings, taking into account the costs of replacement and utilization. As a result of the calculations, the life cycle costs of alternative coatings with probabilities from 5 to 95% were obtained.

Highlights

  • In the article the costs of alternative roo ng techniques in the life cycle of the building were calculated

  • The calculations were made in accordance with ISO 156865 standard “Buildings and constructed assets – Service life planning – Part 5: Life-cycle costing”, using normative durability periods and minimum period of annual consumption of individual building elements to determine the durability of building components

  • The article proposes a method for calculating the life cycle costs of a building in the SBC Life cycle cost analysis (LCCA) probabilistic approach

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Summary

Profit

Mi(beta; Mimin, Mimed, Mimax,σMi,αMi,βMi) Ri(normal; Rmin, Rmed, Rmax,σRi) lub Ri(beta; Rimin, Rimed, Rimax,σRi,αRi,βRi) Si(normal; Simin, Simed, Simax,σRi) lub Si(beta;Simin, Simed, Simax,σSi,αSi,βSi) Kpi(normal, Kpmin, Kpmed, Kpmax,σKp) lub Kpi(beta, Kpimin, Kpimed, Kpimax,σKp, αKpi,βKpi) Kz((normal; Kzmin, Kzmed, Kzmax,σKzi) lub Kzi(beta;Kzimin, Kzimed, Kzimax,σKzi, αKzi,βKzi) Zi(normal; Zmin, Zmed, Zmax,σZi) lub Zi(beta; Zimin, Zimed, Zimax,σZi, αZi,βZi). The step in the calculation is to determine the probability density function for the discount rate and for the price formation factors. It is recommended by ISO 15686-5 to take a normal distribution for the discount rate. Di erent distributions of probability density in relation to price drivers. The calculations were carried out on the assumption that the probability distribution of pricing factors is beta and normal in relation to the in ation coefcient. When considering PLCCA over 100 years of use

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