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Write / Model an algorithm for scheduling activities based on resource availability

I need an algorithm to create an auto scheduler.

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Above articles explains the common problems involved.

My case:

We have ACTIVITIES and ACTORS (also called as resources)

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Some key attributes of ACTIVITIES:

Activity Name

Estimated balance duration (Ex: 10 hours)

Predecessor Activity (Ex: Another activity) [optional constraint]

Dependency options on Predecessor activity - Finish to Start, Finish to Finish, Start to Start, Start to Finish [mandatory if predecessor activity is mentioned]

Suitable ACTORS - (Ex: Actor1, Actor2 and Actor7)

Lead Lag duration (Ex: 2 hours) [optional constraint]

Start Date Time Constraint - (Ex: Jan 1 2017 - 10am) [optional constraint]

End Date Time Constraint - (Ex: Jan 2 2017 - 2pm) [optional constraint]

Date Constraint Type options - Not later than, not earlier than, exactly on [mandatory if one of the date time constraint is chosen]

Mode - ASAP or ALAP

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Some key attributes of ACTORS

Availability Calendar

Activity Schedule Calendar

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Reschedule button clears the previously created schedule calendar and triggers the algorithm.

Algorithm Objective:

To automatically schedule all activities based on the mentioned constraints, from the current time of hitting the reschedule button. In case constraints cannot be met, make a log of it and move on to scheduling further activities.

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Below article explains project management concepts that we're using here

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above one is the closest algorithm example that i could find

Skills: PHP, Software Architecture

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