Cost allocation rules for elastic single‐attribute situations

Many cooperative games, especially ones stemming from resource pooling in queueing or inventory systems, are based on situations in which each player is associated with a single attribute (a real number representing, say, a demand) and in which the cost to optimally serve any sum of attributes is described by an elastic function (which means that the per‐demand cost is non‐increasing in the total demand served). For this class of situations, we introduce and analyze several cost allocation rules: the proportional rule, the serial cost sharing rule, the benefit‐proportional rule, and various Shapley‐esque rules. We study their appeal with regard to fairness criteria such as coalitional rationality, benefit ordering, and relaxations thereof. After showing the impossibility of combining coalitional rationality and benefit ordering, we show for each of the cost allocation rules which fairness criteria it satisfies. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 271–286, 2017     

Optimal maintenance policies for a safety‐critical system and its deteriorating sensor

We consider the integrated problem of optimally maintaining an imperfect, deteriorating sensor and the safety‐critical system it monitors. The sensor's costless observations of the binary state of the system become less informative over time. A costly full inspection may be conducted to perfectly discern the state of the system, after which the system is replaced if it is in the out‐of‐control state. In addition, a full inspection provides the opportunity to replace the sensor. We formulate the problem of adaptively scheduling full inspections and sensor replacements using a partially observable Markov decision process (POMDP) model. The objective is to minimize the total expected discounted costs associated with system operation, full inspection, system replacement, and sensor replacement. We show that the optimal policy has a threshold structure and demonstrate the value of coordinating system and sensor maintenance via numerical examples. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 399–417, 2017     

Situations and Dispositions: How to Rescue the Military Virtues from Social Psychology

In recent years, it has been argued more than once that situations determine our conduct to a much greater extent than our character does. This argument rests on the findings of social psychologists such as Stanley Milgram, who have popularized the idea that we can all be brought to harm innocent others. An increasing number of philosophers and ethicists make use of such findings, and some of them have argued that this so-called situationist challenge fatally undermines virtue ethics. As virtue ethics is currently the most popular underpinning for ethics education in the military, it is important to know to what extent the claim situationists make is correct. Fortunately, a closer look indicates that an interactionist perspective, with our character and the situation interplaying, is more accurate than the situationist perspective.     

Terrorist choice: a stochastic dominance and prospect theory analysis

The paper explores terrorist choice by applying two well-known theoretical frameworks: stochastic dominance and prospect theory (PT). We analyse each pair of attack methods that can be formed from the RAND-MIPT database and the Global Terrorism Database. Instances of stochastic dominance are identified. PT orderings are computed. Attention is accorded to the identification of ‘trigger points’ and the circumstances that may lead to an increased likelihood that a terrorist will select an attack method associated with a higher expected number of fatalities, i.e. a potentially more damaging attack method.     

An engagement model to optimize defense against a multiple attack assuming perfect kill assessment

We present an air-defense engagement model to counter an attack by multiple antiship missiles, assuming perfect kill assessment. In this model, the probability of shooting down all incoming missiles is maximized. A generating function is employed to produce an algorithm which is used to evaluate the outcomes. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44: 687–697, 1997     

On the normality and abnormality of offsets obligations

Defence offsets have often been described as government‐to‐business compensation arrangements or contracts involving “reciprocity beyond that associated with normal market exchange”. This paper argues that it is irrelevant and misleading to use this notion as a criterion for defining offsets.

The paper also explores the apparent inconsistency between the maximising efficiency in defence procurement and the application of offsets requirements. It is shown that defence offsets are a subset of all the price‐quality‐quantity trade‐offs which in general characterise negotiations surrounding complex transactions.

It is argued that although reciprocal or offsetting arrangements are a normal aspect of commercial transacting, the operation of certain offsets schemes namely mandatory offsets obligations, may inhibit the buyer's flexibility in negotiating deals and result in inefficient procurement. This leads us to ask why these offsets schemes have persisted for so long.