Optimum Replacement Policies for Kuwait Passenger Transport Company Busses: Case Study

Due to the excess of a vehicle operation through its life, some elements may face failure and deteriorate with time. This leads us to carry out maintenance, repair, tune up or full overhaul. After a certain period, the vehicle elements deteriorations increase with time which causes a very high increase of doing the maintenance operations and their costs. However, the logic decision at this point is to replace the current vehicle by a new one with minimum failure and maximum income. The importance of studying vehicle replacement problems come from the increase of stopping days due to many deteriorations in the vehicle parts. These deteriorations increase year after year causing an increase of operating costs and decrease the vehicle income. Vehicle replacement aims to determine the optimum time to keep, maintain, overhaul, renew and replace vehicles. This leads to an improvement in vehicle income, total operating costs, maintenance cost, fuel and oil costs, ton-kilometers, vehicle and engine performance, vehicle noise, vibration, and pollution. The aim of this paper is to find the optimum replacement policies of Kuwait Passenger Transport Company (KPTCP) fleet of busses. The objective of these policies is to maximize the busses pure profits. The dynamic programming (D.P.) technique is used to generate the busses optimal replacement policies

• Hilal A. Abdelwali
• Elsayed E.M. Ellaimony
• Ahmad E.M. Murad
• Jasem M.S. Al-Rajhi

• Replacement Problem
• Automotive Replacement
• Dynamic Programming
• Equipment Replacement
• K.P.T.C.

[1] Toshio Nakagawa and Shunji Osaki, "Discrete Time Age Replacement Policies", J. Opl. Res. Q., Vol. 28, no. 4, 1977, PP. 881-885.
[2] Y. Roll and P. Naor, "Preventive Maintenance of Equipment Subject To Continuous Deterioration and Stochastic Failure", J. Opl. Res. Q., Vol. 19, no. 1, 1968, PP. 61-71.
[3] D. J. Bartholomew, "Two Stage Replacement Strategies", J. Opl. Res. Q., Vol. 14, no. 1, 1962, PP. 71-87.
[4] A.H. Christer and W. Goodbody, "Equipment Replacement in An
Unsteady Economy", J. Opl. Res. Q., Vol. 31, no. 6, 1987, PP. 497¬506.
[5] Kazuhira Okumoto and Shunji Osaki, "Optimum Policies For A Stand
By System With Preventive Maintenance", J. Opl. Res. Q., Vol. 28, no. 2, 1977, PP. 415-423.
[6] Hamdy A. Taha, "Operations Research An Introduction, Macmillan Publishing", New York, 7th Edition, 2003.
[7] J.S. D'Aversa and J.F. Shapiro, "Optimal Machine Maintenance and Replacement by Linear Programming and Enumeration", J. Opl. Res. Q., Vol. 29, no. 8, 1978, PP. 759-768.
[8] Richard Bronson, "Theory and Problems of Operations Research", Mc Graw Hill, 1986.
[9] Stuart E. Dreyfus and Averill M. Law, "The Art and Theory of Dynamic
Programming", Academic Press, New York, 1977.
[10] C.E. Sigal , A.A. Pritsker and J.J. Solberg, "The Stochastic Shortest Route Problem", J. Opl. Res. Q., Vol. 28, no. 5, 1977, PP. 1122-1129.
[11] M.I. Khalil, "On Integer Programming Problems and Their Applications
In Vehicle Rerplacement Model", M.Sc. Thesis, Helwan University, Cairo, Egypt, 1999.
[12] M.I. Khalil, "On Vehicle Replacement Models Using Large Scale
Multi-Objective Fuzzy Integer Programming", Ph.D. Thesis, Helwan University, Cairo, Egypt, 2005.
[13] H.A. Abdelwali, "Study of The Parametric Dynamic Programming Applied To Vehicle Replacement Problem", M.Sc. Thesis, Minia University. Egypt, 1992.
[14] H.A. Abdelwali, "On Parametric Multi-objective Dynamic
Programming With Applications To Automotive Problems", Ph.D. Thesis, Minia University. Egypt, 1997.
[15] T.A.J. Nicholson and R.D. Pullen, "Dynamic Programming Applied To Ship Fleet Management", J. Opl. Res. Q., Vol. 22, no. 3, 1971, PP. 211-220.
[16] N.A.J. Hastings, "Some Notes On Dynamic Programming and Replacement", J. Opl. Res. Q., Vol. 19, no. 4, 1968, PP. 453-464.
[17] Richard Waddel„ "A Model For Equipment Replacement Decisions and Policies, Interfaces", Vol. 13, no. 4, 1983, PP. 1-7.