Effective network formulations for lot sizing with backlogging in two-level serial supply chains

Title Effective network formulations for lot sizing with backlogging in two-level serial supply chains
Author Solyali, O., Denizel, Meltem, Süral, H.
Publication Date: 2016
Publication Place - Informa Group
Subject Supply chain, Multi-level lot sizing, Integer programming
Type Periodical
Language English
Digital Yes
Manuscript No
Library: Özyeğin University
Library Asset ID 1545-8830
Record ID 618f48af-1e3b-4621-b9ab-3156133935fe
Library Location Industrial Engineering
Date 2016
Notes Due to copyright restrictions, the access to the full text of this article is only available via subscription.
Sample Text This study considers the serial lot sizing problem with backlogging in two-level supply chains to determine when and how much to order at a warehouse and ship to a retailer over a T-period planning horizon so that the external known demand occurring at the retailer is satisfied and the total cost at all levels is minimized. In particular, the uncapacitated two-level serial lot sizing problem with backlogging and the two-level serial lot sizing problem with cargo capacity and backlogging are formulated using effective shortest-path network representations, which define the convex hull of their feasible solutions. These representations lead to efficient algorithms with O(T3) time for the uncapacitated problem and O(T6) time for the capacitated problem. Furthermore, a tight reformulation with O(T3) variables and O(T2) constraints (resp. O(T6) variables and O(T5) constraints) is proposed for the uncapacitated (resp. capacitated) problem.
DOI 10.1080/0740817X.2015.1027457
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Effective network formulations for lot sizing with backlogging in two-level serial supply chains

Author Solyali, O., Denizel, Meltem, Süral, H.
Publication Date 2016
Publication Place - Informa Group
Subject Supply chain, Multi-level lot sizing, Integer programming
Type Periodical
Language English
Digital Yes
Manuscript No
Library Özyeğin University
Library Asset ID 1545-8830
Record ID 618f48af-1e3b-4621-b9ab-3156133935fe
Library Location Industrial Engineering
Date 2016
Notes Due to copyright restrictions, the access to the full text of this article is only available via subscription.
Sample Text This study considers the serial lot sizing problem with backlogging in two-level supply chains to determine when and how much to order at a warehouse and ship to a retailer over a T-period planning horizon so that the external known demand occurring at the retailer is satisfied and the total cost at all levels is minimized. In particular, the uncapacitated two-level serial lot sizing problem with backlogging and the two-level serial lot sizing problem with cargo capacity and backlogging are formulated using effective shortest-path network representations, which define the convex hull of their feasible solutions. These representations lead to efficient algorithms with O(T3) time for the uncapacitated problem and O(T6) time for the capacitated problem. Furthermore, a tight reformulation with O(T3) variables and O(T2) constraints (resp. O(T6) variables and O(T5) constraints) is proposed for the uncapacitated (resp. capacitated) problem.
DOI 10.1080/0740817X.2015.1027457
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