WORLD JOURNAL OF INNOVATION AND MODERN TECHNOLOGY (WJIMT )
E-ISSN 2504-4766
P-ISSN 2682-5910
VOL. 9 NO. 4 2025
DOI: 10.56201/wjimt.v9.no4.2025.pg18.35
Festus, Ow, Ralph O Edokpi
In the business of fleet management, operators or owners are faced with the difficult task of chosen between a fixed-time based replacement policy and a breakdown replacement strategy, in which a vehicle is replaced only when the repairs become nearly impossible. The focus in the choice made is whether it will attract a long- run cost effectiveness, as a fixed time scheduled if not properly modeled could result to underutilization of a vehicles, leading to profit loss or unnecessarily incurred high maintenance cost due to out of useful life cycle usage. In this study, a logarithmic transformation of costs data sets of an economic life cycle model is carried out to introduce the needed linearity in a vehicle age maintenance and salvage cost distribution for the determination of the respective costs function parameters required for a more accurate optimal replacement time estimation. The cost comparison of the improved model due to its data transformation and that of the untransformed data is done alongside their optimal replacement time results, to ascertain the sensitivity of the costs function parameters to the optimal replacement time. While the model based on transformed data reported a reasonable replacement time of 18 months replacement period in ten years planning horizon, that of the untransformed that reported an unrealistic optimal time that is intractable. Estimated costs and actual costs for the transformed data-based model showed little variations of about 0-150% for the maintenance cost which suffered greater disparity in the sourced data distribution and 0-109% for the salvage cycle costs. The model based on untransformed data set recorded wide variation in terms of 1000% increment in the estimated value over the actual recorded costs.
Logarithmic: Linearity: Life – Cycle: Optimal Time: Salvage Costs: Operational Costs
Azadah Salami, Behrouz Afshar-Nadjat, Maghohoud Amim (2023). A Two-Stage
Optimization Approach for Healthcare. Facility Location-Allocation Problems with
Service Delivering Based on Generic Algorithm. International Journal of publish
Health vol. 68.
Torkestani, S.S., Sayeftosseimi, S.M., Makui, A. and Shahanaghi, K. (2018). The Reliable
Design of a Hierarchical Multi-Modes Transportation Hub Location Problems
(HMMTHLP) Under Dynamic Network Disruption (DND) Computer Ind.
Engineering, vol. 38, PP. 39-86.
Snyder, L.V. (2006). Facility Location under Uncertainty: A Review. The Transportations
Vol. 38, Issue of PP. 547-564.
George o. Wesocowsky and Jack Bromberg (2001). Optimising Facility Location with
Rectilinear Distances. In Floudas, C.A. Padalos, P.M. (eds), Enclycopedia of
Optimization. Springer, Boston, M.A. https://dol.org/10.100710-306-483327-372.
Mahmood-Soltani, F., Tavakkoli-Moghaddam, Amiri-Aref, M. (2012). A Facility Location
Problem with Tchebycher Probabilistic cine Barrier. IJE TRANSACTION c. Aspects
vol. 25, No. 4, pp. 293302.
Dearing, P.M., Segers, J.R. (2002). Solving Rectilinear Location Problems with Barriers by a
polynomial Partition. Animal of Operations Research, vol. 111 (1-4), pp. 111-133.
Dearing P.M., Segers, R., Klamroth K. (2003). Planner Location Problems with Block Distance
and Barriers. Animal of Operations Research, vol. 136(1), pp. 117-143.
Mingyao Q., Rielivel, J., Siqian, S. (2022). Sequential Competitive Facility Location. Exact
and Approximate Algorithms. https://dol.org/10.1287/opre.2022.2339.
Dasei, A., Laporte, G. (2005). A Continuous Model for Multishares Competitive Location.
Operations Research, vol. 53, pp. 263-280.
Jenson, M. (2000). Value Maximization and the Corporate Objective Function In: Beer M,
Norhiaeds N (eds) Breaking the Code of Change. Harvard Butinels School Press,
Boston. pp. 3757.
Daskin M.S. (2013). Network and Discrete Location Models, Algorithms and Application (2nd
Edition) Wiley. Hofelling H.(1929). Stability in Competition Economic Journal vol. 39,
pp. 41-57.
Drezner T. (2014). A Review of Competitive Facility Location in the Plane Logistics Research
vol. 7, No. 114.
Montgomery D.C., Peak, E.A and Vim G.G. (2021). Introduction to Linear Regression
Analysis (6th Edition) Wiley.
Seber G.A.F., Lee, E.A. (2003). Linear Regression Analysis (2nd Edition). Wiley.
Yanguan Chen (2015). The Distance Decay Function of Geographical Gravity Model. Power
Law or Exponential Law. arriv: 02915 [Physics.soc.ph].
Sheppard, E.S. (1984). The Distance-Decay Gravity Model Debate. Theory and Decision
Library, vol. 40. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3042-8-20.
Michael, Iacono, Kelvin Krizek, Ahmed, E.L. Geneidy (2008). Access to Destination: How
close is Close Enough?
Estimating Accurate Distance Decay Function for Multiple Models and Different Purposes.
Minnesota Section, 395 John Ireland, Boulevard, ms 330 St. Paul Minmesota 55155-
Steven Nahmias, (2009). Production and Operations Analysis. Sixth Edition, McGraw Hill
Companies, inc., 1221. Avenue of the Americas, New York, NY 10020.