Title
Colourful Linear Programming Feasibility Problem: Algorithms,Used
Delivery time: 8-12 business days (International)
This problem was presented by Barany and Onn in 1997 and it is still not known if a polynomialtime algorithm for the problem exists. The monochrome version of this problem, expressing p as a convex combination of points in a set S, is a traditional linear programming feasibility problem. The colourful Caratheodory Theorem, due to Barany in 1982, provides a sufficient condition for the existence of a colourful set of points containing p in its convex hull. Barany's result was generalized by Holmsen et al. in 2008 and by Arocha et al. in 2009 before being recently further generalized by Meunier and Deza. We study algorithms for colourful linear programming under the conditions of Barany and their generalizations. In particular, we implement the MeunierDeza algorithm and enhance previously used random case generators. Computational benchmarking and a performance analysis including a comparison between the two algorithms of Barany and Onn and the one of Meunier and Deza, and random picking are presented.
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Shipping & Returns
Shipping
We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
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Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Your payment information is processed securely. We do not store credit card details nor have access to your credit card information.
We accept payments with :
Visa, MasterCard, American Express, Paypal, Shopify Payments, Shop Pay and more.