Irreducible Bin Packing: Complexity, Solvability and Application to the Routing Open Shop

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

Аннотация

We introduce the following version of an “inefficient” bin packing problem: maximize the number of bins under the restriction that the total content of any two bins is larger than the bin capacity. There is a trivial upper bound on the optimum in terms of the total size of the items. We refer to the decision version of this problem with the number of bins equal to the trivial upper bound as Irreducible Bin Packing. We prove that this problem is NP-complete in an ordinary sense and derive a sufficient condition for its polynomial solvability. The problem has a certain connection to a routing open shop problem which is a generalization of the metric TSP and open shop, known to be NP-hard even for two machines on a 2-node network. So-called job aggregation at some node of a transportation network can be seen as an instance of a bin packing problem. We show that for a two-machine case a positive answer to the Irreducible Bin Packing problem question at some node leads to a linear algorithm of constructing an optimal schedule subject to some restrictions on the location of that node.

Язык оригиналаанглийский
Название основной публикацииLearning and Intelligent Optimization - 13th International Conference, LION 13, Revised Selected Papers
РедакторыNikolaos F. Matsatsinis, Yannis Marinakis, Panos Pardalos
ИздательSpringer Gabler
Страницы106-120
Число страниц15
ISBN (печатное издание)9783030386283
DOI
СостояниеОпубликовано - 22 янв 2020
Событие13th International Conference on Learning and Intelligent Optimization, LION 13 - Chania, Греция
Продолжительность: 27 мая 201931 мая 2019

Серия публикаций

НазваниеLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Том11968 LNCS
ISSN (печатное издание)0302-9743
ISSN (электронное издание)1611-3349

Конференция

Конференция13th International Conference on Learning and Intelligent Optimization, LION 13
СтранаГреция
ГородChania
Период27.05.201931.05.2019

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