Proportional Optimization and Fairness

• Κύριος συγγραφέας: Kubiak, Wieslaw (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Springer US, 2009.
• Σειρά: International Series in Operations Research & Management Science, 127
• Θέματα: Business.; Management.; Industrial management.; Production management.; Operations research.; Decision making.; Mathematical models.; Mathematical optimization.; Industrial engineering.; Production engineering.; Business and Management.; Operation Research/Decision Theory.; Industrial and Production Engineering.; Mathematical Modeling and Industrial Mathematics.; Optimization.; Operations Management.; Innovation/Technology Management.

 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 workloads in event graphs to bandwidth allocation internet gateways and resource allocation in computer operating systems. The book argues that apportionment theory and optimization based on deviation functions provide natural benchmarks for a process, and then looks at the recent research and developments in the field. Individual chapters look at 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, Fraenkel’s 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 queueing and stride scheduling; and smoothing and batching. 

 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 Fraenkel's 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 Queueing and Stride Scheduling -- Smoothing and Batching.