Bin packing

Next-fit bin packing

Next-fit is an online algorithm for bin packing. Its input is a list of items of different sizes. Its output is a packing - a partition of the items into bins of fixed capacity, such that the sum of sizes of items in each bin is at most the capacity. Ideally, we would like to use as few bins as possible, but minimizing the number of bins is an NP-hard problem. The next-fit algorithm uses the following heuristic: * It keeps a current bin, which is initially empty. * When an item arrives, it checks whether the item fits into the current bin. * If it fits, it is placed inside it. * Otherwise, the current bin is closed, a new bin is opened and the coming item is placed inside this new bin. Next-Fit is a bounded space algorithm - it requires only one partially-filled bin to be open at any time. The algorithm was studied by David S. Johnson in his doctoral thesis in 1973. (Wikipedia).

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OCR MEI MwA B: Bin Packing: 03 First Fit Algorithm Example

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From playlist OCR MEI MwA B: Bin Packing

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OCR MEI MwA B: Bin Packing: 07 Bin Packing Complexity

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From playlist OCR MEI MwA B: Bin Packing

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OCR MEI MwA B: Bin Packing: 01 Introduction to Bin Packing

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From playlist OCR MEI MwA B: Bin Packing

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Math for Liberal Studies: Bin-Packing Algorithms

In this video, we use two different bin-packing algorithms to solve the same problem. For more info, visit the Math for Liberal Studies homepage: http://webspace.ship.edu/jehamb/mls/index.html

From playlist Math for Liberal Studies

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OCR MEI MwA B: Bin Packing: 05 Full-Bin Strategy Example

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From playlist OCR MEI MwA B: Bin Packing

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Math for Liberal Studies - Lecture 1.8.2 One-at-a-Time Algorithms

This is the second video for Math for Liberal Studies Section 1.8: Bin Packing and Scheduling. In this lecture, I discuss two algorithms for solving bin-packing problems: the first-fit algorithm and the best-fit algorithm. I work through an example of each algorithm and discuss advantages

From playlist Math for Liberal Studies Lectures

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D1 Q2 June 2013 Edexcel Maths A-Level

Powered by https://www.numerise.com/ D1 Q2 June 2013 Edexcel Maths A-Level

From playlist Decision Maths 1 June 2013 Edexcel Maths A-Level

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Math for Liberal Studies - Lecture 1.8.1 The Bin-Packing Problem

This is the first video for Math for Liberal Studies Section 1.8: Bin Packing and Scheduling. In this lecture, I discuss the general idea behind the bin-packing problem and talk about several examples of how this problem can occur in the real world.

From playlist Math for Liberal Studies Lectures

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OCR MEI MwA B: Bin Packing: 04 First Fit Decreasing Algorithm Example

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From playlist OCR MEI MwA B: Bin Packing

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Math for Liberal Studies - Lecture 1.8.3 Sorted-Weight Algorithms

This is the third video for Math for Liberal Studies Section 1.8: Bin Packing and Scheduling. In this lecture, I discuss variations of the first-fit and best-fit packing algorithms. In these methods, we first sort the list of objects from largest to smallest before applying the packing alg

From playlist Math for Liberal Studies Lectures

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Bin Packing Algorithms (Tutorial 5) D1 EDEXCEL A-Level

Powered by https://www.numerise.com/ This video is a tutorial on the Bin Packing Algorithms (First fit, first-fit decreasing, full-bin) for Decision 1 Math A-Level. Please make yourself revision notes while watching this and attempt my examples. Complete the suggested exercises from the

From playlist Decision 1: Edexcel A-Level Maths Full Course

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Packing algorithms - First-fit (decreasing) algorithms (Decision Maths 1)

Powered by https://www.numerise.com/ Packing algorithms - First-fit (decreasing) algorithms www.hegartymaths.com http://www.hegartymaths.com/

From playlist Decision Maths 1 OCR Exam Board (A-Level tutorials)

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Bin Packing Algorithms (Exam Qs 5) D1 EDEXCEL A-Level

Powered by https://www.numerise.com/ This video is on the past paper exam questions that have come up between Jan 2007 and Jan 2012 on the Bin Packing Algorithms (First fit, first-fit decreasing, full-bin) for Decision 1 Maths A-Level. You should have already watched the video titled Bin

From playlist Decision 1: Edexcel A-Level Maths Full Course

Related pages

Next-fit-decreasing bin packing | David S. Johnson | Online algorithm