A Polyhedral Study of Mixed 0-1 Set

We consider a variant of the well-known single node fixed charge network flow set with constant capacities. This set arises from the relaxation of more general mixed integer sets such as lot-sizing problems with multiple suppliers. We provide a complete polyhedral characterization of the convex hull of the given set

Key performance indicators for sustainable manufacturing evaluation in automotive companies

The automotive industry is regarded as one of the most important and strategic industry in manufacturing sector. It is the largest manufacturing enterprise in the world and one of the most resource intensive industries of all major industrial system. However, its products and processes are a significant source of environmental impact. Thus, there is a need to evaluate sustainable manufacturing performance in this industry. This paper proposes a set of initial key performance indicators (KPIs) for sustainable manufacturing evaluation believed to be appropriate to automotive companies, consisting of three factors divided into nine dimensions and a total of 41 sub-dimensions. A survey will be conducted to confirm the adaptability of the initial KPIs with the industry practices. Future research will focus on developing an evaluation tool to assess sustainable manufacturing performance in automotive companies

Optimizing the Domestic Chemical, Biological, Radiological, and Nuclear Response Enterprise

The Chemical Biological Radiological Nuclear (CBRN) Response Enterprise (CRE) exists to rapidly respond to a domestic CBRN attack in order to minimize the overall impact of an incident. Over the past 16 years, the CRE has grown incrementally, and it is unclear if the current locations of units optimizes the coverage of the US population within a rapid response window. In this paper we develop a multi-objective multi-service extension of the maximal covering location problem (MCLP) to analyze the current coverage provided by the CRE and recommend efficient modifications to better protect the American population. While public sector facility location problems are well studied, the significant damage created by a CBRN attack requires unique modeling considerations. Most notably, we model the impact to coverage when CRE units within a minimum stand-off distance are rendered non-functional by a CRBN attack using an adaptation of the conditional covering problem (CCP). This minimum stand-off distance is not currently a consideration in existing Department of Defense (DoD) doctrine or planning guidance, but through a comparison to the current DoD definition of coverage we demonstrate the value of incorporating this concept into future planning considerations. Finally, we account for the multi-objective nature of this problem by developing a set of non-inferior solutions that allow a decision maker to apply their judgment to balance the trade-off between coverage and cost

Operational Research: Methods and Applications

Throughout its history, Operational Research has evolved to include a variety of methods, models and algorithms that have been applied to a diverse and wide range of contexts. This encyclopedic article consists of two main sections: methods and applications. The first aims to summarise the up-to-date knowledge and provide an overview of the state-of-the-art methods and key developments in the various subdomains of the field. The second offers a wide-ranging list of areas where Operational Research has been applied. The article is meant to be read in a nonlinear fashion. It should be used as a point of reference or first-port-of-call for a diverse pool of readers: academics, researchers, students, and practitioners. The entries within the methods and applications sections are presented in alphabetical order. The authors dedicate this paper to the 2023 Turkey/Syria earthquake victims. We sincerely hope that advances in OR will play a role towards minimising the pain and suffering caused by this and future catastrophes