Stochastic duels with lethal dose

This paper introduces the idea of lethal dose to achieve a kill and examines its effect on the course and final outcome of a duel. Results have been illustrated for a particular case of exponential firing rates.     

‘Backing the wrong horse’: Japan in British Middle Eastern Policy 1914–18

The course of Anglo‐Japanese relations prior to 1914 rendered senior British policymakers nervous regarding possible Japanese aggrandisement in the Middle East. This article explores the factors which precluded British acceptance of Japanese military involvement there when, both before and during World War I, the idea was discussed. Particular reference is made to the views of the India Office and to those of Lord Curzon and the subject is analysed in the broader context of British Middle Eastern policy.     

Origins and Persistence of State-Sponsored Militias: Path Dependent Processes in Third World Military Development

This article uses a sequential mixed method approach to examine the origins and persistence of paramilitaries and state-sponsored militias in the developing world. Combining comparative case studies of Southeast Asia and the Middle East with statistical analysis, it shows that revolutionary decolonization produces more decentralized and localized force structures, while direct inheritance of colonial armies leads to more conventional force structures. Subsequently, the level of competition within the regional system influences whether a state can persist in the use of paramilitaries or must transition to a more centralized, conventional force.     

Stalin's Conception of Maritime Power: Revelations from the Russian Archives

Through unprecedented access to archival documents, the author places Soviet Premier Joseph Stalin's decisions regarding the navy in the context of a national economy in ruins, bureaucratic infighting, and Stalin's own unique understanding of geopolitics and naval strategy. These documents illustrate the decidedly defensive character of Stalin's maritime conception, as it reveals the Kremlin leader's strong disposition against attempts to ‘mimic the Americans’ and pursue an ocean-going fleet. The author also discusses Stalin's lessons from the Korean War and the impact of these lessons on the subsequent development of the Soviet fleet. Finally, this study offers insights for students of asymmetric warfare, as it explores the challenges and dilemmas that confront relatively limited powers within intense rivalries.     

Technical and proliferation‐related aspects of the dismantlement of Russian Alfa‐Class nuclear submarines

When does a state become a “nuclear weapon state”? How we choose to answer this question has significant implications for proliferation assessment, analysis, and policy. Traditionally, the standard demarcation line has been a state's first nuclear test, but in recent years analysts have increasingly focused instead on the accumulation of a significant quantity (SQ) of fissile material. The article argues that although the test/no-test indicator clearly has problems, its replacement by the SQ/no-SQ indicator would be highly counterproductive. The article instead proposes supplementing the traditional test/no-test indicator with a theory-driven approach that focuses on the incentives and disincentives to test.     

The rising unit cost of defence equipment — The reasons and the results

This paper constructs a conceptual model for the selection of defence equipment providing best value for money. It then shows how the unit cost of the chosen equipment increases between one generation of equipment and its successor because of developments in the perceived threat, the available technology and industrial productivity, and demonstrates that unit cost increases can arise from a logical and rational procurement policy and are not necessarily caused by technological chimeras and military vainglory. The resulting persistent rise in unit cost is unlikely to be significantly slowed by any of the counter‐measures yet proposed.

The paper then discusses the policies which nations have adopted to accommodate past increases in unit cost, and the options which confront any nation at the point when it can no longer afford to re‐equip a particular element of its armed forces.     

Life cycle costs for decision support ‐ a study of the various life cycle costs used at different levels of defence policy and management∗

Debates on many aspects of defence economics ‐ on the scale of defence expenditure, on the allocation of that expenditure to various military capabilities, and on the selection of equipment offering the best value for money ‐ are bedevilled by misunderstandings and misconceptions about the costs of defence equipment. This paper seeks to improve understanding of defence equipment costs by defining a hierarchy of defence equipment within which the direct and indirect life cycle costs of defence equipment may be allocated at different levels. Having reviewed the direct and indirect components of the life cycle cost, this paper then shows how different costing studies for different purposes require different approaches to life cycle costing, and that there is no unique life cycle cost which can be assigned to one particular item of defence equipment. There is instead a range oflife cycle costs, each of which is appropriate for a particular study, and it is important that a quoted cost of an item of defence equipment should be used only in the pertinent circumstances. The paper is written from a UK perspective and accordingly uses British nomenclature, but its principles should be relevant to defence cost studies in other nations.     

Performance evaluation of a production/inventory system with periodic review and endogenous lead times

This paper considers a discrete time, single item production/inventory system with random period demands. Inventory levels are reviewed periodically and managed using a base‐stock policy. Replenishment orders are placed with the production system which is capacitated in the sense that there is a single server that sequentially processes the items one at a time with stochastic unit processing times. In this setting the variability in demand determines the arrival pattern of production orders at the queue, influencing supply lead times. In addition, the inventory behavior is impacted by the correlation between demand and lead times: a large demand size corresponds to a long lead time, depleting the inventory longer. The contribution of this paper is threefold. First, we present an exact procedure based on matrix‐analytic techniques for computing the replenishment lead time distribution given an arbitrary discrete demand distribution. Second, we numerically characterize the distribution of inventory levels, and various other performance measures such as fill rate, base‐stock levels and optimal safety stocks, taking the correlation between demand and lead times into account. Third, we develop an algorithm to fit the first two moments of the demand and service time distribution to a discrete phase‐type distribution with a minimal number of phases. This provides a practical tool to analyze the effect of demand variability, as measured by its coefficient of variation, on system performance. We also show that our model is more appropriate than some existing models of capacitated systems in discrete time. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Two‐dimensional failure modeling with minimal repair

In this paper, we discuss two‐dimensional failure modeling for a system where degradation is due to age and usage. We extend the concept of minimal repair for the one‐dimensional case to the two‐dimensional case and characterize the failures over a two‐dimensional region under minimal repair. An application of this important result to a manufacturer's servicing costs for a two‐dimensional warranty policy is given and we compare the minimal repair strategy with the strategy of replacement of failure. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004.