Analyzing the Duration and Prolongation of Performance-Based Contracts through Hazard-Based Duration and Zero-Inflated Random Parameters Poisson Models

Performance-based contracts (PBCs) for roadway maintenance are emerging as a promising contracting approach that offers highway agencies enhanced project control and greater assurance of accountability and product quality. The duration of a PBC is typically longer than that of a traditional contract. Under a PBC, the contractor bears greater risk and responsibility for the final product and is obliged to undertake any required maintenance after the product is completed. A PBC period is typically considered prolonged if both the road agency and the contractor agree that the contract should be extended beyond the original completion date. This paper examines the relationships between PBC duration and prolongation on one hand, and the factors that affect these outcomes on the other hand, while accounting for unobserved heterogeneity. For the PBC duration model, a number of hazard-based function types are estimated. The Weibull model with gamma heterogeneity is found to provide the best fit. For the PBC prolongation model, a zero-inflated random parameters Poisson model is developed to estimate the probability and extent of PBC prolongation. Random variations in the parameter estimates are duly investigated. The size of the contract and whether the contract scope of work includes certain maintenance activities, among other factors, are found to influence the duration and prolongation of PBCs. This paper also computes and interprets elasticities and marginal effects, to shed more light on the individual effects of the influential variables.

[1]  Naufel J. Vilcassim,et al.  Investigating Household Purchase Timing Decisions: A Conditional Hazard Function Approach , 1991 .

[2]  Fred L Mannering,et al.  Highway accident severities and the mixed logit model: an exploratory empirical analysis. , 2008, Accident; analysis and prevention.

[3]  Mesfin Lakew,et al.  DC Streets Performance-Based Asset Preservation Experiment: Current Quantitative Results and Suggestions for Future Contracts , 2006 .

[4]  Samer Madanat,et al.  Using Duration Models to Analyze Experimental Pavement Failure Data , 2000 .

[5]  Jidong Yang Estimation of Pavement Lifespan Using Stochastic Duration Models , 2007 .

[6]  Fred L Mannering,et al.  A note on modeling vehicle accident frequencies with random-parameters count models. , 2009, Accident; analysis and prevention.

[7]  T. W. Anderson,et al.  Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes , 1952 .

[8]  K. Train Halton Sequences for Mixed Logit , 2000 .

[9]  Jianxiong Yu,et al.  Pavement Service Life Estimation and Condition Prediction , 2010 .

[10]  Kenneth E. Train,et al.  Discrete Choice Methods with Simulation , 2016 .

[11]  Adrian T. Moore,et al.  Contracting for Road and Highway Maintenance , 2003 .

[12]  Q. Vuong Likelihood Ratio Tests for Model Selection and Non-Nested Hypotheses , 1989 .

[13]  R. B. Albin,et al.  Evaluating Median Crossover Likelihoods with Clustered Accident Counts: An Empirical Inquiry Using the Random Effects Negative Binomial Model , 1998 .

[14]  Natalya Stankevich,et al.  Contrats bases sur les resultats pour la preservation et l'amelioration des actifs routiers , 2009 .

[15]  David A. Hensher,et al.  Performance Based Contracts , 2004 .

[16]  Kumares C. Sinha,et al.  Performance-Based Contracting for Roadway Maintenance Operations in Indiana , 2008 .

[17]  C. Gouriéroux,et al.  PSEUDO MAXIMUM LIKELIHOOD METHODS: THEORY , 1984 .

[18]  Yuhong Wang,et al.  Survival Analysis of Fatigue Cracking for Flexible Pavements Based on Long-Term Pavement Performance Data , 2005 .

[19]  D E Hancher CONTRACTING METHODS FOR HIGHWAY CONSTRUCTION , 1999 .

[20]  J. Heckman,et al.  A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data , 1984 .

[21]  M. Stephens EDF Statistics for Goodness of Fit and Some Comparisons , 1974 .

[22]  Timothy C. Coburn,et al.  Statistical and Econometric Methods for Transportation Data Analysis , 2004, Technometrics.

[23]  F Mannering,et al.  Modeling accident frequencies as zero-altered probability processes: an empirical inquiry. , 1997, Accident; analysis and prevention.

[24]  C. Bhat Simulation estimation of mixed discrete choice models using randomized and scrambled Halton sequences , 2003 .