A theory of “discrete convex analysis” is developed for integer-valued functions defined on
integer lattice points. The theory parallels the ordinary convex analysis, covering discrete …

Integrally convex functions constitute a fundamental function class in discrete convex
analysis, including M-convex functions, L-convex functions, and many others. This paper …

A new generation of the e-bike sharing system (EBSS) is emerging, where the e-bikes are
dockless but need to be parked in designated zones defined by electric fences. The …

Satellite edge computing, as an extension of ground edge computing, is a key technology for
achieving seamless global computing coverage. However, the low earth orbit (LEO) …

We study a multi-item stochastic inventory system in which customers may order different but
possibly overlap** subsets of items, such as a multiproduct assemble-to-order system …

In bike-sharing systems, at any given moment, a certain share of the bicycle fleet is
unusable. This phenomenon may significantly affect the quality of service provided to the …

Efficient allocation of indivisible goods is an important problem in mathematical economics
and operations research, where the concept of Walrasian equilibrium plays a fundamental …

This work presents the optimal synthesis and design of a rigorous catalytic distillation (CD)
column that explicitly considers the multiscale and multiphase nature of this intensification …

As the demand for global computing coverage continues to surge, satellite edge computing
emerges as a pivotal technology for the next generation of networks. Unlike ground-based …

The concept of M-convex functions plays a central role in “discrete convex analysis”, a
unified framework of discrete optimization recently developed by Murota and others. This …