Approximation Algorithms for Spatial Scheduling

Spatial scheduling problems involve a set of jobs which have spatial dimensions in addition to traditional scheduling considerations such as due dates or processing times. In these problems processing space is a limited resource, and the scheduling decisions must determine both when and where the each job will be processed as well as each job’s layout orientation. Spatial scheduling problems find many real-world applications in industries such as shipbuilding and aircraft assembly, where there is limited working space available and tasks utilize significant amounts of spatial resources in their completion. In this chapter we discuss spatial scheduling and present several heuristic and metaheuristic algorithms for this problem class.

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