Proportional Optimization and Fairness [electronic resource] /
Kubiak, Wieslaw.author.
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.
Description based upon print version of record.
Includes bibliographical references (p. 273-279) and index.
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.
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.
Operations research.
Decision making.
Industrial engineering.
Production engineering.
Mathematical models.
Mathematical optimization.
Production management.
Management.
Industrial management.
Operations Research/Decision Theory.
Industrial and Production Engineering.
Mathematical Modeling and Industrial Mathematics.
Optimization.
Operations Management.
Innovation/Technology Management.


International Series in Operations Research & Management Science