Home Machine Learning Provide Chain Course of Scheduling with Python | by Samir Saci | Could, 2024

Provide Chain Course of Scheduling with Python | by Samir Saci | Could, 2024

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Provide Chain Course of Scheduling with Python | by Samir Saci | Could, 2024

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Inbound Operations Optimization for Luxurious Merchandise

You’re the information science supervisor within the logistics division of this iconic luxurious model specializing in Style, Perfume and Watches.

The inbound supervisor of this distribution centre requested your assist in decreasing the bottlenecks brought on by inefficiencies within the VAS scheduling.

Her crew receives day by day a number of hundreds of prêt-à-porter units (Prepared-to-wear) together with:

  • 1 Feminine gown that requires Labeling and Repacking
  • A Purse that requires Labeling, Anti-theft tags and Repacking
  • 1 Leather-based Belt that requires Anti-theft tags, Labeling and Repacking

As they’re offered collectively, this stuff have to be prepared on the identical time after going by means of the next steps:

  • The receiving crew unloads pallets from the truck and places them within the staging space.
Step 1: Unloading and transfer of the pallet to the staging area
Unloading and switch of the pallet to the staging space — (CAD Mannequin by Writer)
  • Machine 1 — Anti-theft tag: an operator places an anti-theft tag on every bag and belt.
Step 2: 2 workstations where operators put an anti-theft tag on each Handbag and Belt
2 workstations the place operators put an anti-theft tag on every Purse and Belt — (CAD Mannequin by Writer)
  • Machine 2—Labelling: After printing in a devoted space, labels are sewn on belts, purses, and clothes.
Step 3: 4 workstations where operators perform label sewing
4 workstations the place operators carry out label stitching — (CAD Mannequin by Writer)
  • Machine 3 — Kitting & Repackaging: Operators add a certificates of authenticity and carry out tremendous packing for every merchandise.
Step 4: 4 workstations where operators perform re-packaging
4 workstations the place operators carry out re-packaging — (CAD Mannequin by Writer)

After these steps, items are transferred to a closing staging space to attend for delivery (Circulation 1) or put away within the inventory space (Circulation 2).

Goal: Attain most productiveness of units assembled per hour (units/hour).

Drawback Assertion: The Job-Store Drawback

The Job Store Scheduling Drawback (JSSP) is an NP-hard downside outlined by a set of jobs that machines should execute in a selected order for every job.

In our instance, we’ve one job per merchandise within the set, and so they can (have) to be carried out concurrently.

Our example with 3 jobs using 3 machines

An instance with 3 jobs utilizing 3 machines — (Picture by Writer)

The desk above defines the execution time (min) and machine processing order for every job.

As an example, Job 2 (Purse) begins with inserting Anti-theft Tags utilizing Machine 1 (6 min), adopted by Label Stitching utilizing Machine 2 (4 min), and at last ends with Kitting and Packing utilizing Machine 3 (3 min).

We’ve constraints on the right way to use machines:

  • The machines can solely execute one job at a time.
  • As soon as began, a machine can’t be interrupted till the assigned job is accomplished.

The target is to decrease the makespan, i.e. the whole time to finish all jobs.

What’s the baseline?

The Naive Answer: 1 job cycle at a time

First Naive Strategy — (Picture by Writer)

We assume that the VAS crew chief organizes the roles in sequence and avoids performing any job in parallel.

Outcomes

  • Makespan: 30 min
  • Productiveness: 2 units/hour

Feedback

This easy strategy is the worst when it comes to productiveness. As a result of jobs are processed in sequence, machines usually keep idle (unused).

Query: What could be the consequence if we carried out jobs in parallel?

The Optimum Answer

This instance matches with the Job Store Scheduling Drawback utilizing Google OR-Instruments.

OR-Instruments is an open-source assortment of Google with instruments for combinatorial optimization.

The target is to seek out one of the best resolution out of many attainable options.

I’ve been utilizing it for a number of case research.

  • Samir Saci, Design Pathfinding Algorithm utilizing Google AI to Enhance Warehouse Productiveness
  • Samir Saci, Optimize Workforce Planning utilizing Linear Programming with Python

Allow us to use this library to seek out the optimum sequencing to cut back the makespan for this particular set of processes.

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