Solving multi-item capacitated lot-sizing problems using variable redefinition
Operations Research
Some extensions of the discrete lotsizing and scheduling problem
Management Science
Polyhedra for lot-sizing with Wagner-Whitin costs
Mathematical Programming: Series A and B
Integrating the lot-sizing and sequencing decisions for scheduling a capacitated flow line
Computers and Industrial Engineering
Improved Rolling Schedules for the Dynamic Single-Level Lot-Sizing Problem
Management Science
The Capacitated Lot-Sizing Problem with Linked Lot Sizes
Management Science
Production Planning by Mixed Integer Programming (Springer Series in Operations Research and Financial Engineering)
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This paper addresses the simultaneous lot-sizing and scheduling of several products in multi-stage flow line production systems consisting of heterogeneous parallel production lines per stage. The limited capacity of the production lines may be further reduced by sequence dependent setup times. Deterministic, dynamic demand of standard products has to be met without backlogging with the objective of minimizing sequence dependent setup, holding and production costs as well as costs for external purchase, overtime, and standby. Different mixed-integer programming (MIP) model formulations are proposed and tested using a standard MIP-solver. Furthermore, construction heuristics like LP-and-Fix and Relax-and-Fix are designed and applied. The solution quality and computational performance of these approaches are examined in several test scenarios.