Extended Model Formulation of the Proportional Lot-Sizing and Scheduling Problem with Lost Demand Costs

Waldemar Kaczmarczyk

doi:10.7494/dmms.2011.5.1.49

Extended Model Formulation of the Proportional Lot-Sizing and Scheduling Problem with Lost Demand Costs

Authors

Waldemar Kaczmarczyk AGH University of Science and Technology

DOI:

https://doi.org/10.7494/dmms.2011.5.1.49

Keywords:

production, lot-sizing and scheduling, mixed integer linear programming

Abstract

We consider mixed-integer linear programming (MIP) models of production planning problems known as the small bucket lot-sizing and scheduling problems. We present an application of a class of valid inequalities to the case with lost demand (stock-out) costs. Presented results of numerical experiments made for the the Proportional Lot-sizing and Scheduling Problem (PLSP) confirm benefits of such extended model formulation.

Author Biography

Waldemar Kaczmarczyk, AGH University of Science and Technology

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Published

2011-10-03

Issue

Vol. 5 (2011): No. 1-2

Section

Articles

How to Cite

[1]

Kaczmarczyk, W. 2011. Extended Model Formulation of the Proportional Lot-Sizing and Scheduling Problem with Lost Demand Costs. Decision Making in Manufacturing and Services. 5, 1 (Oct. 2011), 49–56. DOI:https://doi.org/10.7494/dmms.2011.5.1.49.