IBM ILOG Scheduler User's Manual > Advanced Concepts > Scheduling with Discrete Resources: the Ship-loading Problem |
Scheduling with Discrete Resources: the Ship-loading Problem |
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The bridge construction problem in Chapter 14 and the job-shop scheduling problem in Chapter 15 consist of activities subject only to temporal constraints and to unary resource constraints. In that context, to generate a schedule, we simply had to order the activities requiring the same resource.
This chapter presents an example in which activities require a discrete resource of capacity strictly greater than 1. In this context, two activities which require the same resource may overlap in time, but the total capacity required at time t
must not exceed the capacity available at time t
. The problem is solved by assigning precise start and end times to each activity in the schedule. The propagation of resource constraints is exploited to prune the search tree and to guarantee that the available capacity is never exceeded.
The problem in this chapter consists of scheduling the loading of a ship. Describing the Problem presents the simplest version of the problem. In this version, the duration of the activities and the required amounts of resource capacity are fixed once and for all. The capacity of the resource is also fixed. The goal is to minimize the makespan.
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