Analyzing the Impact of Depreciation-Estimating Methods on State Transportation Agencies’ Equipment Replacement Decisions Using Dynamic Programming
Publication: Journal of Management in Engineering
Volume 39, Issue 4
Abstract
Replacing equipment at the most economical time not only helps to save state transportation agencies (STAs) costs for operating the fleet but also keeps the fleet’s level of service at an optimal level. Prior research studies focused on developing alternative economic-oriented equipment replacement models rather than the equivalent annual cost (EAC) model to achieve better economic decisions. In addition, various optimization techniques were applied to equipment replacement problems with different objectives, constraints, and contexts. However, few studies examined the impact of depreciation estimation on the equipment replacement decision within STAs by minimizing total equipment cost over a finite study period using the dynamic programming optimization method. This study performed a case study of two class codes of equipment [1.5 m3 (2-yd) diesel engine front-end loaders and 0.453 t (half-ton) fleetside pickup trucks] to analyze the impact of different depreciation calculations on equipment replacement decisions. Using real-world data provided by the Oklahoma Department of Transportation, the study showed that the double-declining balance depreciation method substantially reduces the number of pieces of equipment recommended for replacement compared with the result of the straight-line depreciation method. This study contributes to the understanding of the impact of depreciation methods on equipment replacement decisions as well as the importance of properly estimating equipment depreciation to minimize the equipment costs over a designated study period among STA communities. The demonstrated manual calculation procedures of dynamic programming for cost optimization potentially may facilitate STA’s adoption of dynamic programming for equipment economic decisions.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work was supported by Louisianan State University and A&M College for the US Department of Transportation Consortium of South-Central States (Tran-SET).
References
Abbaspour, H., and A. Maghaminik. 2016. “Equipment replacement decision in mine based on decision tree algorithm.” Sci. Rep. Resour. 2016 (1): 187–194.
Adkins, R., and D. Paxson. 2013. “The effect of tax depreciation on the stochastic replacement policy.” Eur. J. Oper. Res. 229 (1): 155–164. https://doi.org/10.1016/j.ejor.2013.01.050.
Altalabi, W. M., M. A. Rushdi, and B. M. Tawfik. 2020. “Optimisation of medical equipment replacement using stochastic dynamic programming.” J. Med. Eng. Technol. 44 (7): 411–422. https://doi.org/10.1080/03091902.2020.1799096.
Ávila-Godoy, G., A. Brau, and E. Fernández-Gaucherand. 1997. “Controlled Markov chains with discounted risk-sensitive criteria: Applications to machine replacement.” In Proc., 36th IEEE Conf. on Decision and Control, 1115–1120. New York: IEEE.
Baldin, A., L. Furlanetto, A. Roversi, and F. Turco. 1988. Manuale della Manutenzione degli Impianti Industriali e servizi. [In Italian.] Milano, Italy: Editorial Franco Angeli.
Barringer, H. P., and D. P. Weber. 1997. “Life cycle cost & reliability for process equipment.” In Proc., 8th Annual Energy Week Conf. and Exhibition, 1–22. Paris: International Institute of Refrigeration.
Bengtsson, M., and M. Kurdve. 2016. “Machining equipment life cycle costing model with dynamic maintenance cost.” Procedia CIRP 48 (Jan): 102–107. https://doi.org/10.1016/j.procir.2016.03.110.
Bluman, A. 2006. Business math demystified. New York: McGraw-Hill.
Chang, P.-T. 2005. “Fuzzy strategic replacement analysis.” Eur. J. Oper. Res. 160 (2): 532–559. https://doi.org/10.1016/j.ejor.2003.07.001.
Chaudhary, A. 2019. “Developing predictive models for fuel consumption and maintenance cost using equipment fleet data.” Master’s thesis, School of Civil and Environmental Engineering, Oklahoma State Univ.
Chisholm, A. H. 1974. “Effects of tax depreciation policy and investment incentives on optimal equipment replacement decisions.” Am. J. Agric. Econ. 56 (4): 776–783. https://doi.org/10.2307/1239307.
Christer, A., and W. Goodbody. 1980. “Equipment replacement in an unsteady economy.” J. Oper. Res. Soc. 31 (6): 497–506. https://doi.org/10.1057/jors.1980.93.
Cruz, A. M., and E. R. Denis. 2006. “A neural-network-based model for the removal of biomedical equipment from a hospital inventory.” J. Clin. Eng. 31 (3): 140–144. https://doi.org/10.1097/00004669-200607000-00021.
Czajkiewicz, Z. J., and N. H. Reddy. 1985. “Simulation models and some applications to maintenance and repair systems.” ACM SIGSIM Simul. Dig. 16 (2): 31–34. https://doi.org/10.1145/1102958.1102962.
Del Giudice, V., B. Manganelli, and P. De Paola. 2016. “Depreciation methods for firm’s assets.” In Proc., Computational Science and Its Applications—ICCSA 2016: 16th Int. Conf., 214–227. New York: Springer.
Dohi, T., A. Ashioka, S. Osaki, and N. Kaio. 2001. “Optimizing the repair-time limit replacement schedule with discounting and imperfect repair.” J. Qual. Maint. Eng. 7 (1): 71–84. https://doi.org/10.1108/13552510110386973.
Eilon, S., J. King, and D. Hutchinson. 1966. “A study in equipment replacement.” J. Oper. Res. Soc. 17 (1): 59–71. https://doi.org/10.1057/jors.1966.7.
Ekström, M. A., and H. C. Björnsson. 2005. “Valuing flexibility in architecture, engineering, and construction information technology investments.” J. Constr. Eng. Manage. 131 (4): 431–438. https://doi.org/10.1061/(ASCE)0733-9364(2005)131:4(431).
Fan, W., M. D. Gemar, and R. Machemehl. 2013. “Equipment replacement decision making: Opportunities and challenges.” J. Transp. Res. Forum 52 (3). https://doi.org/10.5399/osu/jtrf.52.3.4180.
Fan, W., R. B. Machemehl, and M. D. Gemar. 2012. “Optimization of equipment replacement: Dynamic programming-based optimization.” Transp. Res. Rec. 2292 (1): 160–170. https://doi.org/10.3141/2292-19.
Forootani, A., M. G. Zarch, M. Tipaldi, and R. Iervolino. 2023. “A stochastic dynamic programming approach for the machine replacement problem.” Eng. Appl. Artif. Intell. 118 (Feb): 105638. https://doi.org/10.1016/j.engappai.2022.105638.
Gopalakrishnan, M., S. L. Ahire, and D. M. Miller. 1997. “Maximizing the effectiveness of a preventive maintenance system: An adaptive modeling approach.” Manage. Sci. 43 (6): 827–840. https://doi.org/10.1287/mnsc.43.6.827.
Gransberg, D. D., and E. P. O′Connor. 2015. Major equipment life-cycle cost analysis. St. Paul, MN: Minnesota DOT, Research Services & Library.
Gransberg, D. D., C. M. Popescu, and R. Ryan. 2006. Construction equipment management for engineers, estimators, and owners. Boca Raton, FL: CRC Press. https://doi.org/10.1201/9781420013993.
Hartman, J. C., and J. Rogers. 2006. “Dynamic programming approaches for equipment replacement problems with continuous and discontinuous technological change.” IMA J. Manage. Math. 17 (2): 143–158. https://doi.org/10.1093/imaman/dpi032.
Hillier, F. S. 2012. Introduction to operations research. New York: Tata McGraw-Hill Education.
Hopp, W. J., and S. K. Nair. 1994. “Markovian deterioration and technological change.” IIE Trans. 26 (6): 74–82. https://doi.org/10.1080/07408179408966640.
Hritonenko, N., and Y. Yatsenko. 2007. “Optimal equipment replacement without paradoxes: A continuous analysis.” Oper. Res. Lett. 35 (2): 245–250. https://doi.org/10.1016/j.orl.2006.03.001.
Inegbedion, H., and M. Aghedo. 2018. “A model of vehicle replacement time with overloading cost constraint.” J. Manage. Anal. 5 (4): 350–370. https://doi.org/10.1080/23270012.2018.1474390.
Jeong, H. D., J. Shane, K. Scheibe, S. Nilakanta, and H. Alikhani. 2019. Optimizing maintenance equipment life-cycle for local agencies. Ames, IA: Iowa State Univ.
Kim, B., H. Lim, H. Kim, and T. Hong. 2012. “Determining the value of governmental subsidies for the installation of clean energy systems using real options.” J. Constr. Eng. Manage. 138 (3): 422–430. https://doi.org/10.1061/(ASCE)CO.1943-7862.0000443.
Lauria, P. T., and D. T. Lauria. 2014. State department of transportation fleet replacement management practices. Washington, DC: Transportation Research Board.
Liao, H.-Y., W. Cade, and S. Behdad. 2021. “Markov chain optimization of repair and replacement decisions of medical equipment.” Resour. Conserv. Recycl. 171 (Aug): 105609. https://doi.org/10.1016/j.resconrec.2021.105609.
Oeltjenbruns, H., W. J. Kolarik, and R. Schnadt-Kirschner. 1995. “Strategic planning in manufacturing systems—AHP application to an equipment replacement decision.” Int. J. Prod. Econ. 38 (2–3): 189–197. https://doi.org/10.1016/0925-5273(94)00092-O.
Qiao, L. 2021. “Improving the Oklahoma department of transportation’s equipment management practices using fleet management data.” Doctoral dissertation, School of Industrial Engineering and Management, Oklahoma State Univ.
Sadeghpour, H., A. Tavakoli, M. Kazemi, and A. Pooya. 2019. “A novel approximate dynamic programming approach for constrained equipment replacement problems: A case study.” Adv. Prod. Eng. Manage. 14 (3): 355–366. https://doi.org/10.14743/apem2019.3.333.
Sahu, A. K., H. K. Narang, A. K. Sahu, and N. K. Sahu. 2016. “Machine economic life estimation based on depreciation-replacement model.” Cogent Eng. 3 (1): 1249225. https://doi.org/10.1080/23311916.2016.1249225.
Sarache Castro, W. A., O. D. Castrillón, G. Gonzales, and A. Viveros Folleco. 2009. “A multi-criteria application for an equipment replacement decision.” Ing. Desarrollo 25 (Jun): 80–98.
Sarwar, G., and A. Beg. 2019. Cost effective fleet asset replacement guidelines: A case study. Washington, DC: Transportation Research Board.
Schaufelberger, J. E., and G. C. Migliaccio. 2019. Construction equipment management. London: Routledge.
Schwab, B., and R. E. Nicol. 1969. “From double-declining-balance to sum-of-the-years’-digits depreciation: An optimum switching rule.” Accounting Rev. 44 (2): 292–296.
Selivanov, I. 1972. Fundamentos de la teoría del envejecimiento de los equipos. [In Spanish.] Moscow: Editorial Mir.
Sinuany-Stern, Z., I. David, and S. Biran. 1997. “An efficient heuristic for a partially observable Markov decision process of machine replacement.” Comput. Oper. Res. 24 (2): 117–126. https://doi.org/10.1016/S0305-0548(96)00043-3.
Sullivan, W. G., T. N. McDonald, and E. M. Van Aken. 2002. “Equipment replacement decisions and lean manufacturing.” Rob. Comput. Integr. Manuf. 18 (3–4): 255–265. https://doi.org/10.1016/S0736-5845(02)00016-9.
Temiz, I., and G. Calis. 2017. “Selection of construction equipment by using multi-criteria decision making methods.” Procedia Eng. 196 (Jan): 286–293. https://doi.org/10.1016/j.proeng.2017.07.201.
TxDOT (Texas DOT). 2014. “TxDOT equipment replacement model: TERM.” Accessed July 22, 2022. https://ftp.txdot.gov/pub/txdot-info/gsd/pdf/txdoterm.pdf#:∼:text=TxDOT%20Equipment%20Replacement%20Model%20%28TERM%29%20was%20developed%20to,when%20there%20are%20significant%20increases%20in%20repair%20costs.
Wykoff, F. C. 1970. “Capital depreciation in the postwar period: Automobiles.” Rev. Econ. Stat. 52 (2): 168–172. https://doi.org/10.2307/1926117.
Yatsenko, Y., and N. Hritonenko. 2020. “Analytics of machine replacement decisions: Economic life vs real options.” Manage. Decis. 60 (2): 471–487. https://doi.org/10.1108/MD-12-2019-1704.
Zaslavskaya, I. 2018. “Influence of depreciation calculation of fixed assets on the optimization of income tax.” MATEC Web Conf. 193 (Aug): 05086. https://doi.org/10.1051/matecconf/201819305086.
Zvipore, D. C., P. Nyamugure, D. Maposa, and M. Lesaoana. 2015. “Application of the equipment replacement dynamic programming model in conveyor belt replacement: Case study of a gold mining company.” Supplement, Mediterr. J. Social Sci. 6 (2 S1): 605. https://doi.org/10.5901/mjss.2015.v6n2s1p605.
Information & Authors
Information
Published In
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Sep 5, 2022
Accepted: Feb 24, 2023
Published online: Apr 25, 2023
Published in print: Jul 1, 2023
Discussion open until: Sep 25, 2023
ASCE Technical Topics:
- Benefit cost ratios
- Business management
- Case studies
- Computer programming
- Computing in civil engineering
- Construction engineering
- Construction management
- Economic factors
- Energy engineering
- Energy sources (by type)
- Engineering fundamentals
- Equipment and machinery
- Financial management
- Fuels
- Methodology (by type)
- Models (by type)
- Non-renewable energy
- Optimization models
- Petroleum
- Practice and Profession
- Research methods (by type)
- Standards and codes
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.