Proportional Optimization and Fairness

• Main Author: Kubiak, Wieslaw. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston, MA : Springer US, 2009.
• Series: International Series in Operations Research & Management Science, 127
• Subjects: Economics.; Mathematical optimization.; Industrial engineering.; Business logistics.; Technology.; Economics/Management Science.; Operations Research/Decision Theory.; Industrial and Production Engineering.; Mathematical Modeling and Industrial Mathematics.; Optimization.; Production/Logistics.; Technology Management.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-87719-8

Proportional Optimization and Fairness is a long-needed attempt to reconcile optimization with apportionment in just-in-time (JIT) sequences and find the common ground in solving problems ranging from sequencing mixed-model just-in-time assembly lines through just-in-time batch production, balancing...

Table of Contents:

• Preface
• Preliminaries
• The theory of apportionment and just-in-time sequences
• Minimization of just-in-time sequence deviation
• Optimality of cyclic sequences and the oneness
• Bottleneck minimization
• Competition-free instances, the Fraenkels Conjecture, and optimal admission sequences
• Response time variability
• Applications to the Liu-Layland problem and pinwheel scheduling
• Temporal capacity constraints and supply chain balancing
• Fair queuing and stride scheduling
• Smoothing and batching
• Index.