Transformations of node‐balanced routing problems

This article describes a polynomial transformation for a class of unit‐demand vehicle routing problems, named node‐balanced routing problems (BRP), where the number of nodes on each route is restricted to be in an interval such that the workload across the routes is balanced. The transformation is general in that it can be applied to single or multiple depot, homogeneous or heterogeneous fleet BRPs, and any combination thereof. At the heart of the procedure lies transforming the BRP into a generalized traveling salesman problem (TSP), which can then be transformed into a TSP. The transformed graph exhibits special properties which can be exploited to significantly reduce the number of arcs, and used to construct a formulation for the resulting TSP that amounts to no more than that of a constrained assignment problem. Computational results on a number of instances are presented. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 370–387, 2015     

The Taliban's ‘military courts’

The Taliban's ‘code of conduct’, which lists rules of discipline for the fighters, has been widely discussed, but do the Taliban try to implement it? This article discusses the structures that the Taliban have put in place for this purpose and their evolution over the years. It assesses that while the Taliban's ‘military justice’ system is still work in progress, the fact that it has attracted a significant investment in human resources bears witness to a serious intent of the leadership. However, the Taliban's concern with the behaviour of their fighting force is driven by their own political calculus, not by any sympathy for the international law of conflict.     

The EU Global Strategy and diplomacy

The new EU Global Strategy has significant implications for EU diplomacy, in terms of both goals and means. This article first analyses the timing of the strategy as an exercise in diplomacy in its own right. Second, it argues that the strategy outlines a more expansive and noticeably more smart power-oriented approach to diplomacy in practical terms. Finally, it notes that the strategy has a new meta-narrative for EU diplomacy, which seeks to project a blend of both realistic assessment and idealistic aspiration.     

A characterization of optimal base‐stock levels for a multistage serial supply chain

In this article, we present a multistage model to optimize inventory control decisions under stochastic demand and continuous review. We first formulate the general problem for continuous stages and use a decomposition solution approach: since it is never optimal to let orders cross, the general problem can be broken into a set of single‐unit subproblems that can be solved in a sequential fashion. These subproblems are optimal control problems for which a differential equation must be solved. This can be done easily by recursively identifying coefficients and performing a line search. The methodology is then extended to a discrete number of stages and allows us to compute the optimal solution in an efficient manner, with a competitive complexity. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 32–46, 2016     

Mixed rules in multi‐issue allocation situations

Multi‐issue allocation situations study problems where an estate must be divided among a group of agents. The claim of each agent is a vector specifying the amount claimed by each agent on each issue. We present a two‐stage rule. First, we divide the estate among the issues following the constrained equal awards rule. Second, the amount assigned to each issue is divided among the agents in proportion to their demands on this issue. We apply the rule to two real‐world problems: the distribution of natural resources between countries and the distribution of budget for education and research between universities.     

Economic impact of the ministry of defence’s budget: methodological design and results for the Spanish economy

This article analyses the economic impact of the expenditure budget of the Spanish Ministry of Defence (MoD) and its Autonomous Agencies (AA), distinguishing direct, indirect and induced effects. The input–output methodology is used to find intersectoral effects on the rest of the economy. The article quantifies the economic impact in terms of production, gross value added (GVA), employed population, tax revenue, and also in terms of its contribution to the gross domestic product (GDP) of Spain in 2010. The results show that the activity of the MoD and AA generates 1.2% of the country’s GDP and 1.7% of total employment in that year.     

Improving series and parallel systems through mixtures of duplicated dependent components

We discuss suitable conditions such that the lifetime of a series or of a parallel system formed by two components having nonindependent lifetimes may be stochastically improved by replacing the lifetimes of each of the components by an independent mixture of the individual components' lifetimes. We also characterize the classes of bivariate distributions where this phenomenon arises through a new weak dependence notion. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

The concept of logistics derived from Clausewitz: All that is required so that the fighting force can be taken as a given

This article assesses the existing literature on logistics in war, concluding that there is no satisfactory conceptual definition of logistics. It proposes a concept of logistics derived from Clausewitz's theory of war to fill that void. This is presented as a derivation because Clausewitz's distinction between (1) the use of the fighting forces (tactics and strategy) and (2) all other activities in war that were required so that forces could be taken as a given. The latter, left unnamed by Clausewitz, corresponds to a concept of logistics that proves to be an analytical peer to Clausewitz's categories of politics, tactics and strategy.     

DETERMINING THE DEFENCE INDUSTRIAL BASE

This paper models the determination of the defence industrial base – the number of different military systems a country decides to maintain. High R&D costs means that few countries can afford to produce major weapons systems and the producers also import systems. Non‐producers rely on imports and we assume their demand is driven by regional arms races. Military capability is determined by the number of systems and the quantity and quality of each. We examine how the defence industrial base is influenced by military expenditures, R&D costs, export controls, the nature of regional arms races and a variety of other factors.     

COUNTRY SURVEY XX: DEFENCE SPENDING AND PEACEKEEPING IN URUGUAY

Uruguay is a country with a very unusual profile, since it has just 3.4 million inhabitants but is among the top ten troop contributors to the UN PKO (Peace Keeping Operations) and is the first contributor per capita. In 2002 and 2003 it was the seventh troop contributor to the UN, and by the end of 2005 it was eighth in the UN ranking. Uruguay has never had any imminent external threat to its security after its independence in 1828, and it has had no internal threat since the end of the urban guerrillas’ actions in the 1970s. The country has no defence industry, and has always had an all‐volunteer military service, which presently involves almost 1% of the total population, and about 2% of the labour force. The empirical evidence presented in this paper shows that, in the past decades, Uruguayan defence spending has been influenced mainly by internal factors, most of them of an economic nature. The high participation in PKO has not increased military expenditure and it has produced a positive impact on the country’s economy.