Stochastic comparisons for single-server queues

We consider single-server queueing systems with the queue discipline “first come, first served,” interarrival times {u_k, k ≥ l}, and service times {u_k, k ≥ l}, where the {u_k} and {u_k} are independent sequences of non-negative random variables that are independently but not necessarily identically distributed. Let X_k = u_k − u_k (k ≥ 1), S₀ 0, S_n = X₁ + X₂ … + X_n(n≥1). It is known that the (possibly nonhomogeneous) random walk {S_n} determines the behavior of the system. In this paper we make stochastic comparisons of two such systems σ₁,σ₂ whose basic random variables X and X are stochastically ordered. The corresponding random walks are also similarly ordered, and this leads to stochastic comparisons of idle times, duration of busy period and busy cycles, number of customers served during a busy period, and output from the system. In the classical case of identical distributions of {u_k} and {u_k} we obtain further comparisons. Our results are for the transient behavior of the systems, not merely for steady state.     

On the application and extension of system signatures in engineering reliability

Following a review of the basic ideas in structural reliability, including signature‐based representation and preservation theorems for systems whose components have independent and identically distributed (i.i.d.) lifetimes, extensions that apply to the comparison of coherent systems of different sizes, and stochastic mixtures of them, are obtained. It is then shown that these results may be extended to vectors of exchangeable random lifetimes. In particular, for arbitrary systems of sizes m < n with exchangeable component lifetimes, it is shown that the distribution of an m‐component system's lifetime can be written as a mixture of the distributions of k‐out‐of‐n systems. When the system has n components, the vector of coefficients in this mixture representation is precisely the signature of the system defined in Samaniego, IEEE Trans Reliabil R–34 (1985) 69–72. These mixture representations are then used to obtain new stochastic ordering properties for coherent or mixed systems of different sizes. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

End of the cycle: assessing ETA’s strategies of terrorism

ABSTRACT

In May 2018, the Basque insurgent group Euskadi Ta Askatasuna (ETA) officially disbanded after a 60-year struggle. This inquiry assesses ETA’s violent campaigns using recent conceptual and theoretical advancements from the field of terrorism studies. Three conclusions concerning the group’s strategies of terrorism are advanced. First, ETA regularly targeted civilians to achieve goals other than coercing the Government of Spain; these objectives included outbidding rival separatist groups and spoiling negotiation processes. Second, ETA’s most rapid period of organizational growth occurred as the result of an aggressive terrorist campaign, demonstrating that civilian targeting can serve as a stimulus to rebel group recruitment. Finally, while terrorism did not advance ETA’s primary political objective of creating an independent Basque state, it did enable the group to assume a leading position within the radical Basque separatist movement, helping extend ETA’s lifespan and making the group an embedded actor within the contentious political processes surrounding the question of Basque self-determination. Collectively, these conclusions support recent theoretical findings arguing that non-state terrorism often enables insurgent groups to prolong their lifespans while paradoxically making it more difficult for them to advance their long-term political objectives.     

Remembering the war of liberation: legitimacy and conflict in contemporary Algeria

The aim of this article is to consider how Algeria's most prized achievement and treasured memory – the FLN's victory over the French in the war of liberation – has helped stimulate and sustain the violence that has blighted the country since independence. It argues that successive governments have propagated a legend of the war that encourages and legitimises rebellion and armed resistance. By celebrating the actions and achievements of a committed band of revolutionaries they have established a precedent whereby it is every citizen's duty to oppose and resist an unjust government. Time and again therefore, insurgent groups like the FFS, MIA, and AIS have justified their actions and won popular support by portraying themselves as the early FLN's natural heir.     

Optimal versus required defence expenditure: The case of the Greek-Turkish arms race

The aim of this paper is to indicate the extent to which the arms race against Turkey, in which Greece and Cyprus have been entangled, imposes a defence expenditure burden that is tough for the two allies to bear. To do so we have resorted to evaluating the optimal military expenditure for the two countries, allied in the context of the Integrated Defence Doctrine, which is compatible with the constraints imposed by the resources of their economies. All experiments and scenarios examined lead to the conclusion that the current defence burden of the two allies seems to be driving their economies beyond capacity limits. The fact remains, however, that under the circumstances, a one-sided disarmament policy like the one currently followed by Greece, is a risky choice given that the long-term armament programmes pursued by Turkey, whose role in this arms race has been proven as leading, leave very small room to the Greek and Cypriot sides to reduce their own defence expenditure.     

The Cyprus puzzle and the Greek - Turkish arms race: Forecasting developments using genetically evolved fuzzy cognitive maps

The scope of this paper is to forecast the extent to which a settlement of the Cyprus issue may be possible given the decisions taken during the Copenhagen EU summit. It aims, in addition, at investigating the possibilities of improvement in Greek-Turkish relations which may lead, in turn, to reducing the arms race between the two countries. The paper uses a Genetically Evolved Certainty Neuron Fuzzy Cognitive Map algorithm to consider a number of scenarios examining the possible reactions of all sides involved in the Cyprus issue, namely Greece, Turkey, Cyprus, the Turkish-Cypriot community and the international environment. All simulation exercises suggest that the Greek and the Cypriot side should not necessarily rely on the decisions taken during the Copenhagen summit conference. The forecasts point out, in addition, that the optimism of the Greek government concerning the outlook of its relations with Turkey, and a subsequent reduction of the arms race against it, is far from being justified.