Siting road maintenance depots. This model was applied in Victoria Province, Australia, by G. Rose, D. Bennett, and D. Chipperfield. Historically, the system of road maintenance depots in Victoria was expanded a depot at a time as needs for pavement repair, drainage works upkeep, litter collection, and so on increased on rural roads. Road maintenance patrols, stationed at the depots, traveled to assigned road segments for such management activities. Vic Roads, Victoria’s road authority, wanted to see if the depot system could be consolidated into fewer depots more strategically located without a loss of service efficiency. The authority hired BTA Consulting, which built a model to examine possibilities for consolidation. First, the road system in about one-fifth of the state was divided into segments that were indexed by i. Levels of maintenance activity or need for service trips based on traffic volume were calculated for each segment. Eligible depot locations were then identified; these included 19 existing depots and 15 towns with sufficient population and community structure to support a depot. A 60-minute service time standard was utilized. An integer programming model was constructed to maximize the segments weighted by their needed trips for service that could be covered by various reduced numbers of depots. It was found that crews from 12 well-placed depots could cover all segments within the time standard and that as few as 9 depots achieved 94% coverage. The model that Rose et al. applied resembled the location set covering problems discussed in the chapter. Its definitions, variables, and parameters include
With these definitions and variables, structure a problem that maximizes the activity weighted segments that can be covered in 60 minutes by D depots, as Rose et al. did.
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