How do I simulate a crew assignment?

Open this page and use the live 0/1 Knapsack tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a crew assignment from your own measurements.

Use case · powered by 0/1 Knapsack

0/1 Knapsack for a crew assignment

Simulate a crew assignment live in your browser. This runs the real 0/1 Knapsack solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

0/1 KnapsackLive

dynamic programming optimization

Camera

4 kg

$500

packed

Laptop

8 kg

$700

packed

Water

3 kg

$200

packed

Tent

10 kg

$400

left

Food

5 kg

$300

packed

Book

2 kg

$90

left

Radio

6 kg

$260

left

Rope

3 kg

$130

left

Controls

Presets

Backpack capacity (kg)

The knapsack problem: pick items to maximize value without exceeding a weight limit. Greedily grabbing the most valuable item fails; the optimal answer needs dynamic programming, which builds a table of best values for every capacity. It models budgeting, cargo loading, and resource allocation — and is a classic NP-hard problem solved efficiently by DP.

▶ Run in Python

Data Inspector

Total value$1700

Weight used20 / 20 kg

Items packed4

Governing equation

V [i, w] = max (V [i - 1, w], v_{i} + V [i - 1, w - w_{i}]), max i \sum v_{i} x_{i} s.t. i \sum w_{i} x_{i} \leq 20

Reading this result: DP fills all 20 kg for $1700; notice the best pack is not simply the highest-value items — it trades value against weight, which is exactly why greedy selection fails here.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

About this simulation

The full 0/1 Knapsack tool models a crew assignment with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with 0/1 Knapsack

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Other ways to simulate a crew assignment

Linear Programming for a crew assignment M/M/1 Queue for a crew assignment Economic Order Quantity for a crew assignment Simulated Annealing for a crew assignment Critical Path (CPM) for a crew assignment Game Theory (Nash) for a crew assignment

Frequently asked questions

How do I simulate a crew assignment?: Open this page and use the live 0/1 Knapsack tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a crew assignment from your own measurements.