Hello,

I am looking at a scheduling problem where each task requires two resources simultaneously, such as a machine and an employee.

The difficulty is that the resources have different availability calendars, and a task can only progress at times where both required resources are available.

When scheduling for a single resource, I can use one interval variable per task and a stepwise intensity function to model resource unavailability. This idea does not seem to carry over to the two-resource case.

What would be good ways to model this?

Thanks,
Joachim

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Joachim Schimpf
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#DecisionOptimization

Hi,

One way could be to mix 2 stepwise functions to build a third one ?
Other way, why not using 2 interval variables with 2 intensity functions and make those 2 intervals equal or at least link them ?

regards

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[Alex] [Fleischer]
[EMEA CPLEX Optimization Technical Sales]
[IBM]
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Original Message:
Sent: Sat March 20, 2021 07:25 PM
From: Joachim Schimpf
Subject: Scheduling tasks that need two resources

Hello,

I am looking at a scheduling problem where each task requires two resources simultaneously, such as a machine and an employee.

The difficulty is that the resources have different availability calendars, and a task can only progress at times where both required resources are available.

When scheduling for a single resource, I can use one interval variable per task and a stepwise intensity function to model resource unavailability. This idea does not seem to carry over to the two-resource case.

What would be good ways to model this?

Thanks,
Joachim

------------------------------
Joachim Schimpf
------------------------------

#DecisionOptimization