Here is a much-needed attempt to reconcile optimization with apportionment in just-in-time (JIT) sequences. It argues that apportionment theory and optimization based on deviation functions provide benchmarks for a process, and examines recent developments.

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 queuing and stride scheduling; and smoothing and batching.

Presents the latest research on just-in-time (JIT) sequencing and the efforts to apportion resources fairly within the process Extends JIT sequencing to fields like computer science, communications and the social sciences Presents novel approaches to solving the Liu-Layland problem and bottleneck minimization

Inhalt
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 LiuLayland Problem and Pinwheel Scheduling.- Temporal Capacity Constraints and Supply Chain Balancing.- Fair Queueing and Stride Scheduling.- Smoothing and Batching.