### Abstract

This paper presents a solution approach for the problem of optimising the frequency and intensity of pavement resurfacing, under steady-state conditions. If the pavement deterioration and improvement models are deterministic and follow the Markov property, it is possible to develop a simple but exact solution method. This method removes the need to solve the problem as an optimal control problem, which had been the focus of previous research in this area. The key to our approach is the realisation that, at optimality, the system enters the steady state at the time of the first resurfacing. The optimal resurfacing strategy is to define a minimum serviceability level (or maximum roughness level), and whenever the pavement deteriorates to that level, to resurface with a fixed intensity. The optimal strategy does not depend on the initial condition of the pavement, as long as the initial condition is better than the condition that triggers resurfacing. This observation allows us to use a simple solution method. We apply this solution procedure to a case study, using data obtained from the literature. The results indicate that the discounted lifetime cost is not very sensitive to cycle time. What matters most is the best achievable roughness level. The minimum serviceability level strategy is robust in that when there is uncertainty in the deterioration process, the optimal condition that triggers resurfacing is not significantly changed.

Original language | English (US) |
---|---|

Pages (from-to) | 525-535 |

Number of pages | 11 |

Journal | Transportation Research Part A: Policy and Practice |

Volume | 36 |

Issue number | 6 |

DOIs | |

State | Published - Jul 1 2002 |

### Fingerprint

### Keywords

- Markov
- Pavement
- Resurfacing
- Steady state

### ASJC Scopus subject areas

- Management Science and Operations Research
- Civil and Structural Engineering
- Transportation

### Cite this

**A steady-state solution for the optimal pavement resurfacing problem.** / Li, Yuwei; Madanat, Samer.

Research output: Contribution to journal › Article

*Transportation Research Part A: Policy and Practice*, vol. 36, no. 6, pp. 525-535. https://doi.org/10.1016/S0965-8564(01)00020-9

}

TY - JOUR

T1 - A steady-state solution for the optimal pavement resurfacing problem

AU - Li, Yuwei

AU - Madanat, Samer

PY - 2002/7/1

Y1 - 2002/7/1

N2 - This paper presents a solution approach for the problem of optimising the frequency and intensity of pavement resurfacing, under steady-state conditions. If the pavement deterioration and improvement models are deterministic and follow the Markov property, it is possible to develop a simple but exact solution method. This method removes the need to solve the problem as an optimal control problem, which had been the focus of previous research in this area. The key to our approach is the realisation that, at optimality, the system enters the steady state at the time of the first resurfacing. The optimal resurfacing strategy is to define a minimum serviceability level (or maximum roughness level), and whenever the pavement deteriorates to that level, to resurface with a fixed intensity. The optimal strategy does not depend on the initial condition of the pavement, as long as the initial condition is better than the condition that triggers resurfacing. This observation allows us to use a simple solution method. We apply this solution procedure to a case study, using data obtained from the literature. The results indicate that the discounted lifetime cost is not very sensitive to cycle time. What matters most is the best achievable roughness level. The minimum serviceability level strategy is robust in that when there is uncertainty in the deterioration process, the optimal condition that triggers resurfacing is not significantly changed.

AB - This paper presents a solution approach for the problem of optimising the frequency and intensity of pavement resurfacing, under steady-state conditions. If the pavement deterioration and improvement models are deterministic and follow the Markov property, it is possible to develop a simple but exact solution method. This method removes the need to solve the problem as an optimal control problem, which had been the focus of previous research in this area. The key to our approach is the realisation that, at optimality, the system enters the steady state at the time of the first resurfacing. The optimal resurfacing strategy is to define a minimum serviceability level (or maximum roughness level), and whenever the pavement deteriorates to that level, to resurface with a fixed intensity. The optimal strategy does not depend on the initial condition of the pavement, as long as the initial condition is better than the condition that triggers resurfacing. This observation allows us to use a simple solution method. We apply this solution procedure to a case study, using data obtained from the literature. The results indicate that the discounted lifetime cost is not very sensitive to cycle time. What matters most is the best achievable roughness level. The minimum serviceability level strategy is robust in that when there is uncertainty in the deterioration process, the optimal condition that triggers resurfacing is not significantly changed.

KW - Markov

KW - Pavement

KW - Resurfacing

KW - Steady state

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U2 - 10.1016/S0965-8564(01)00020-9

DO - 10.1016/S0965-8564(01)00020-9

M3 - Article

AN - SCOPUS:0036643294

VL - 36

SP - 525

EP - 535

JO - Transportation Research, Part A: Policy and Practice

JF - Transportation Research, Part A: Policy and Practice

SN - 0965-8564

IS - 6

ER -