In this talk, the problem of scheduling jobs with multiple execution modes, minimum time lags between jobs and resource constraints is considered. This problem known as Multi-Mode Resource Constrained Project Scheduling Problem (MMRCPSP) has been the focus of research for several decades. One novel extension is that, once two consecutive jobs are executed on different machines, the assignment of modes and the job-sequence requires a setup time. This Mode- and Job-Sequence-Dependent Setup Time or, routing constraints can be observed in several service industries. We show mathematical programming formulations and provide computational results based on benchmark datasets. We also show that for a healthcare setting, mathematical modelling has some limitations which lead us to the development of bespoke heuristic and exact solution approaches. We conclude the talk with further applications of the MMRCPSP and its extensions and the usefulness as a concept to solve challenging problems in healthcare operations research.
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