TY - BOOK AU - Kubiak,Wieslaw ED - SpringerLink (Online service) TI - Proportional Optimization and Fairness T2 - International Series in Operations Research & Management Science, SN - 9780387877198 U1 - 658.40301 23 PY - 2009/// CY - Boston, MA PB - Springer US KW - ECONOMICS KW - MATHEMATICAL OPTIMIZATION KW - INDUSTRIAL ENGINEERING KW - BUSINESS LOGISTICS KW - TECHNOLOGY KW - ECONOMICS/MANAGEMENT SCIENCE KW - OPERATIONS RESEARCH/DECISION THEORY KW - INDUSTRIAL AND PRODUCTION ENGINEERING KW - MATHEMATICAL MODELING AND INDUSTRIAL MATHEMATICS KW - OPTIMIZATION KW - PRODUCTION/LOGISTICS KW - TECHNOLOGY MANAGEMENT N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-0-387-87719-8 ER -