let $ m , n in mathbb{n}$, $d$ be a division ring, and $m_{m times n}(d)$ denote the bimodule of all $m times n$ matrices with entries from $d$. first, we characterize one-sided submodules of $m_{m times n}(d)$ in terms of left row reduced echelon or right column reduced echelon matrices with entries from $d$. next, we introduce the notion of a nest module of matrices with entries from $d$. we ...

supply chain management is one of the main factors of successful organization. one of the important causes of its’ ineffectiveness is “bullwhip effect”. most of previous studies were about its’ effect on one-product and two-echelon chains. in this paper, the authors try to study bullwhip effect on two and three-echelon chains which includes more than one product according to some assumptions. t...

In this article we present an effective mixed-integer linear programming (MILP) formulation for design of a multi-echelon stochastic inventory system with uncertain customer demands. In You and Grossmann [2010] a three-echelon supply chain with inventories under uncertainty is presented. In that supply chain, the location of the plants and the customer demand zones (CDZ) are known. Potential di...

In a dynamic environment such as a supply chain, even basic supplier-customer systems with structurally simple information and material flow formations have a tendency to exhibit operational complexity. The operational complexity of supplier-customer systems is associated with the uncertainty of information and material flows within and across organizations. Operational complexity or dynamic co...

We study a multi-echelon joint inventory-location model that simultaneously determines the location of warehouses and inventory policies at the warehouses and retailers. The model is formulated as a nonlinear mixed-integer program, and is solved using a Lagrangian relaxation-based approach. The efficiency of the algorithm and benefits of integration are evaluated through a computational study.

Takamichi 2009. Altruistic behaviour in a two-echelon supply chain with unmatched proportional feedback controllers. Please note: Changes made as a result of publishing processes such as copy-editing, formatting and page numbers may not be reflected in this version. For the definitive version of this publication, please refer to the published source. You are advised to consult the publisher's v...