Reliability growth of repairable systems

This paper considers the problem of modeling the reliability of a repairable system or device that is experiencing reliability improvement. Such a situation arises when system failure modes are gradually being corrected by a test-fix-test-fix procedure, which may include design changes. A dynamic reliability model for this process is discussed and statistical techniques are derived for estimating the model parameters and for testing the goodness-of-fit to observed data. The reliability model analyzed was first proposed as a graphical technique known as Duane plots, but can also be viewed as a nonhomogeneous Poisson process with a particular mean value function.     

Prices and quantities in the arms trade*

There are two main sources of information about the Arms Trade, SIPRI and ACDA. These two sources give very different pictures of the evolution of the market, primarily because their measures are designed to capture conceptually different features. Although they are both expressed in constant dollars, the SIPRI series is designed to be a volume index of physical transfers, the ACDA series a constant price value index. Thus in principle, the ratio of the ACDA to SIPRI series should provide an implicit price index of arms; though in practice there are many measurement problems. In this paper, we discuss the basis of these indices and show that the ratio, the implicit price, not only looks plausible in the light of the evolution of the market, but has a significant negative effect on the demand for arms imports in an econometric equation.     

Military expenditure and unemployment in the OECD

The effect of military expenditure on employment is a matter of considerable importance. However, few of the standard economic analyses of unemployment take any explicit account of variations in military expenditure in their models. The purpose of this paper is to assess whether the prevalent neglect of this variable in labour economics is justified.

The paper briefly surveys previous estimates made of the employment effects of military expenditure. It then considers evidence from the simple dynamic reduced form regressions estimated on long historical series for the US and the UK and pooled post‐war data for 11 OECD countries. It does not suggest that the share of military expenditure is a significant influence on the unemployment rate. This implies that in analysing unemployment no special account need be taken of military expenditure and that the fear that reductions in the share of military expenditure will be associated with higher average unemployment levels is misplaced.     

Conflict management in the Central African Republic: making genocide prevention work

This commentary analyses the international response to the crisis that struck the Central African Republic (CAR) in early December 2013. It examines three intertwined dimensions defining the courses of action available to policymakers dealing with pre-genocidal crises: the politics and institutional manoeuvring shaping the United Nations (UN) Security Council's decision to authorise an enforcement mission without deploying ‘blue helmets’ on the ground; the operational complexities involved in launching rapid reaction forces; and the interdependent logics between peacebuilding and atrocity prevention. The author argues that there are three ways for the UN Secretariat to ensure a more effective response to CAR-type situations: generating political will to respond swiftly to deteriorating crises leading to widespread abuses of human rights by advancing the concept of Responsibility to Protect as a core component of states' national interests; developing strategic frameworks for the deployment of multi-plural missions equipped to avert the actual or potential threat of atrocities; and developing joint early warning and scenario planning between peacebuilding and atrocity prevention agencies.     

Service design at diagnostic service centers

We study a service design problem in diagnostic service centers, call centers that provide medical advice to patients over the phone about what the appropriate course of action is, based on the caller's symptoms. Due to the tension between increased diagnostic accuracy and the increase in waiting times more in‐depth service requires, managers face a difficult decision in determining the optimal service depth to guide the diagnostic process. The specific problem we consider models the situation when the capacity (staffing level) at the center is fixed, and when the callers have both congestion‐ and noncongestion‐related costs relating to their call. We develop a queueing model incorporating these features and find that the optimal service depth can take one of two different structures, depending on factors such as the nurses' skill level and the maximum potential demand. Sensitivity analyses of the two optimal structures show that they are quite different. In some situations, it may (or may not) be optimal for the manager to try to expand the demand at the center, and increasing skill level may (or may not) increase congestion. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

Shortest path interdiction problem with arc improvement recourse: A multiobjective approach

We consider the shortest path interdiction problem involving two agents, a leader and a follower, playing a Stackelberg game. The leader seeks to maximize the follower's minimum costs by interdicting certain arcs, thus increasing the travel time of those arcs. The follower may improve the network after the interdiction by lowering the costs of some arcs, subject to a cardinality budget restriction on arc improvements. The leader and the follower are both aware of all problem data, with the exception that the leader is unaware of the follower's improvement budget. The effectiveness of an interdiction action is given by the length of a shortest path after arc costs are adjusted by both the interdiction and improvement. We propose a multiobjective optimization model for this problem, with each objective corresponding to a different possible improvement budget value. We provide mathematical optimization techniques to generate a complete set of strategies that are Pareto‐optimal. Additionally, for the special case of series‐parallel graphs, we provide a dynamic‐programming algorithm for generating all Pareto‐optimal solutions.     

New product introduction against a predator: A bilevel mixed‐integer programming approach

We consider a scenario with two firms determining which products to develop and introduce to the market. In this problem, there exists a finite set of potential products and market segments. Each market segment has a preference list of products and will buy its most preferred product among those available. The firms play a Stackelberg game in which the leader firm first introduces a set of products, and the follower responds with its own set of products. The leader's goal is to maximize its profit subject to a product introduction budget, assuming that the follower will attempt to minimize the leader's profit using a budget of its own. We formulate this problem as a multistage integer program amenable to decomposition techniques. Using this formulation, we develop three variations of an exact mathematical programming method for solving the multistage problem, along with a family of heuristic procedures for estimating the follower solution. The efficacy of our approaches is demonstrated on randomly generated test instances. This article contributes to the operations research literature a multistage algorithm that directly addresses difficulties posed by degeneracy, and contributes to the product variety literature an exact optimization algorithm for a novel competitive product introduction problem. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

A model of the international arms market∗

Sales of arms are a significant component of international trade and raise a range of pressing policy issues. After a short review of the market, this paper provides a formal model of the trade which allows for competing forward‐looking suppliers whose welfare depends on both the economic benefits from the sales and the security repercussions of recipient behaviour. The recipient's behaviour depends on its military capability, a function of the stock of arms it has acquired. We first examine a myopic recipient, whose behaviour depends on current stocks, then a forward looking recipient for whom questions of the time‐consistency and the credibility of supplier threats to embargo or promises to resupply become crucial. Finally we examine the impact of supplier cooperation of the sort currently being discussed in the UN Security Council.