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Bin Packing with Item Fragmentation [chapter]

Nir Menakerman, Raphael Rom
2001 Lecture Notes in Computer Science  
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doi:10.1007/3-540-44634-6_29 fatcat:hzollvccnbaaxfrvyug5rgpxb4

Bin packing with fragmentable items: Presentation and approximations

Bertrand LeCun, Thierry Mautor, Franck Quessette, Marc-Antoine Weisser
2015 Theoretical Computer Science  
We consider a variant of the Bin Packing Problem dealing with fragmentable items.  ...  Given a fixed number of bins, the objective is to put all the items into the bins by splitting them in a minimum number of fragments.  ...  As it can be seen on Fig. 2 , this application also corresponds to a bin packing with fragmentable items.  ... 
doi:10.1016/j.tcs.2015.08.005 fatcat:75ez3wa4pjdt7c7767kcmpeiqa

Approximation Schemes for Packing with Item Fragmentation [chapter]

Hadas Shachnai, Tami Tamir, Omer Yehezkely
2006 Lecture Notes in Computer Science  
In bin packing with size preserving fragmentation (BP-SPF), there is a bound on the total number of fragmented items.  ...  In bin packing with size increasing fragmentation (BP-SIF), fragmenting an item increases the input size (due to a header/footer of fixed size that is added to each fragment).  ...  We consider a variant of BP known as bin packing with item fragmentation (BPF), in which items can be fragmented (into two or more pieces).  ... 
doi:10.1007/11671411_26 fatcat:ehaofzigtjcjnmtxdnax7zy7iy

Approximation Schemes for Packing with Item Fragmentation

Hadas Shachnai, Tami Tamir, Omer Yehezkely
2007 Theory of Computing Systems  
In bin packing with size preserving fragmentation (BP-SPF), there is a bound on the total number of fragmented items.  ...  In bin packing with size increasing fragmentation (BP-SIF), fragmenting an item increases the input size (due to a header/footer of fixed size that is added to each fragment).  ...  We consider a variant of BP known as bin packing with item fragmentation (BPF), in which items can be fragmented (into two or more pieces).  ... 
doi:10.1007/s00224-007-9082-x fatcat:3lzlzwgp4bgvlkwgt2prsbufsa

Analysis of Transmissions Scheduling with Packet Fragmentation

Nir Namman, Raphaël Rom
2001 Discrete Mathematics & Theoretical Computer Science  
We convert the scheduling problem into the problem of bin packing with item fragmentation, which we define in the following way: we are asked to pack a list of items into a minimum number of unit capacity  ...  bins.  ...  To analyze the scheduling problem we introduce a new variant of bin packing which we call bin packing with item fragmentation.  ... 
doi:10.46298/dmtcs.277 fatcat:mmral2w3e5colkvmx64tciruxa

A packing problem approach to energy-aware load distribution in Clouds [article]

Thomas Carli, Stéphane Henriot, Johanne Cohen, Joanna Tomasik
2014 arXiv   pre-print
This novel generalization is obtained by introducing such constraints as: variable bin size, cost of packing and the possibility of splitting items.  ...  We propose to model the energy consumption of private Clouds, which provides virtual computation services, by a variant of the Bin Packing problem.  ...  Packing and Item Fragmentation Problem (VS-IF-P).  ... 
arXiv:1403.0493v1 fatcat:vq3ydgiotjc7fal3rvutbehedu

A packing problem approach to energy-aware load distribution in Clouds

Thomas Carli, Stéphane Henriot, Johanne Cohen, Joanna Tomasik
2016 Sustainable Computing: Informatics and Systems  
This novel generalization is obtained by introducing such constraints as: variable bin size, cost of packing and the possibility of splitting items.  ...  We propose to model the energy consumption of private Clouds, which provides virtual computation services, by a variant of the Bin Packing problem.  ...  Packing and Item Fragmentation Problem (VS-IF-P).  ... 
doi:10.1016/j.suscom.2015.08.001 fatcat:4fzdiqtyyfbl3nfq6t3tyko3v4

Exactly solving packing problems with fragmentation

Marco Casazza, Alberto Ceselli
2016 Computers & Operations Research  
In packing problems with fragmentation a set of items of known weight is given, together with a set of bins of limited capacity; the task is to find an assignment of items to bins such that the sum of  ...  Arising in diverse application fields, packing with fragmentation has been investigated in the literature from both theoretical, modeling, approximation and exact optimization points of view.  ...  Figure 1: Example of packing with item fragmentation: 7 items are packed into 4 bins. Items 2 and 3 are fragmented in a non-primitive solution (left) and in a primitive one (right).  ... 
doi:10.1016/j.cor.2016.06.007 fatcat:7pefe2qfpfbmvbz2yt6spjq27a

Maximizing data locality in distributed systems

Fan Chung, Ronald Graham, Ranjita Bhagwan, Stefan Savage, Geoffrey M. Voelker
2006 Journal of computer and system sciences (Print)  
The ideal resource assignment must balance the utilization of the underlying system against the loss of locality incurred when individual tasks or data objects are fragmented among several servers.  ...  We define a packing P as an assignment of every item to the set of bins, given that each item can be fragmented across multiple bins, and similarly, a bin can hold multiple item fragments.  ...  An example problem with 4 items and 13 bins.  ... 
doi:10.1016/j.jcss.2006.07.001 fatcat:lnb55tfdenfqzbkjcdpo2ltz5q

Binary Decision Diagrams for Bin Packing with Minimum Color Fragmentation [article]

David Bergman, Carlos Cardonha, Saharnaz Mehrani
2018 arXiv   pre-print
Bin Packing with Minimum Color Fragmentation (BPMCF) is an extension of the Bin Packing Problem in which each item has a size and a color and the goal is to minimize the sum of the number of bins containing  ...  items of each color.  ...  Definition 1 ( 1 Bin Packing with Minimum Color Fragmentation).  ... 
arXiv:1812.00059v1 fatcat:3nmd5qnjpnhu5jbjwylwpyozze

EPTAS for the dual of splittable bin packing with cardinality constraint [article]

G. Jaykrishnan, Asaf Levin
2022 arXiv   pre-print
The problem considered is the splittable bin packing with cardinality constraint.  ...  Two versions of the splittable bin packing with cardinality constraint have been studied in the literature.  ...  The main difference between bin packing with item fragmentation and our problem is that bin packing with item fragmentation usually restricts the number of parts (of an item or total) while our problem  ... 
arXiv:2204.04685v1 fatcat:7sbevw5qrvf7jj63nheyjgptby

A Constructive Heuristic for the Two-dimensional Bin Packing Problem Based on Value Correction Strategy

Yi Yao
2015 Journal of Information and Computational Science  
This paper researches on 2D bins packing problems with guillotine-cut constraints.  ...  Four successful ideas are combined into a single coherent heuristic: (1) combining narrow items into a block and then packing it as a single item, (2) slicing the bin space into shelves and packing items  ...  ., firstly packing items into shelves, secondly packing shelves into bins. Shelves are rectangles with varying heights and with width the same as the bin width. Lodi et al.  ... 
doi:10.12733/jics20106371 fatcat:svjilg27rfcxzhluwuj6hwaqui

AUTOMATIC SCALING OF WEB APPLICATIONS FOR CLOUD COMPUTING SERVICES: A REVIEW

Sushil Deshmukh .
2014 International Journal of Research in Engineering and Technology  
So every application instance encapsulated inside virtual machine and model it as the Class Constraint Bin Packing (CCBP) problem.  ...  Where each class represents an application and each server is a bin and uses virtualization technology for fault isolation. Now many business customers need good satisfy response services from cloud.  ...  And if suppose all bin are full with color set then new bin is opened to board the item.  ... 
doi:10.15623/ijret.2014.0311072 fatcat:2athjjhwmbf77kp75dbgsb3cvi

A Constructive Heuristic for Two-Dimensional Bin Packing

Bo Han Wang, Jia Min Liu, Yong Yue, Malcolm Keech
2013 Advanced Materials Research  
Two-dimensional bin packing is encountered in various applications where small rectangular items are packed into a minimum number of large rectangular objects (bins).  ...  Aiming at an optimal area utilization, the paper presents an effective constructive heuristic approach to two-dimensional bin packing.  ...  The other is the remaining area which can be used to pack items. The more the items are packed, the more waste areas are produced. Moreover, the remaining areas become fragmented with partitioning.  ... 
doi:10.4028/www.scientific.net/amr.756-759.2705 fatcat:ot644u7lhrbxpa5pnkp76cim64

Content-based layout optimization

Balaji Vasan Srinivasan, Vishwa Vinay, Niyati Chhaya
2019 International Conference on Intelligent User Interfaces  
With improved content consumption tracking via web analytics, such personalization is not only feasible but also valuable for a content publisher/owner with large volumes of content to choose from.  ...  In this paper, we propose a genetic algorithm based framework that chooses a subset of content items (from a large collection) that are relevant to a given user and determines their respective sizes and  ...  Bin packing [3, 9] is a class of algorithms for the assignment of pre-selected items to locations.  ... 
dblp:conf/iui/SrinivasanVC19a fatcat:mh5nckl64zazfbhu4dfk2npyse
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