Controlling rates in a double queue

A double-ended queue with a Poisson arrival pattern is examined in a situation where the rates depend (in a restricted sense) on both the time and the state of the system. Under some circumstances, the rates can be controlled. This article studies the distribution of the difference in queue sizes for each member of a large class of control strategies and introduces the problem of determining the optimal times at which the control should be in effect in order to maximize certain objective functions.     

Periodic replacement when minimal repair costs vary with time

A policy of periodic replacement with minimal repair at failure is considered for a complex system. Under such a policy the system is replaced at multiples of some period T while minimal repair is performed at any intervening system failures. The cost of a minimal repair to the system is assumed to be a nonde-creasing function of its age. A simple expression is derived for the expected minimal repair cost in an interval in terms of the cost function and the failure rate of the system. Necessary and sufficient conditions for the existence of an optimal replacement interval are exhibited in the case where the system life distribution is strictly increasing failure rate (IFR).     

Minimum deterrence and missile defenses: what's new,what's true,what's arguable

Minimum deterrence is a compromise, or halfway house, between nuclear abolition or nearly zero and assured destruction, the dominant paradigm for strategic nuclear arms control during and after the cold war. Minimum deterrence as applied to the current relationship between the United States and Russia would require downsizing the numbers of operationally deployed long-range nuclear weapons to 1000, or fewer, on each side. More drastic bilateral Russian–American reductions would require the cooperation of other nuclear weapons states in making proportional reductions in their own arsenals. In addition, US plans for European-based and global missile defenses cause considerable angst in Russia and threaten to derail the Obama “reset” in Russian–American relations, despite the uncertainties about current and plausible future performances of missile defense technologies.     

Reconciling strategic studies … with itself: a common framework for choosing among strategies

Three distinct, and seemingly irreconcilable, schools of thought are identified within the strategic studies literature. One which searches for “universal principles of war,” a second, “context-dependent,” approach that seeks to embed each instance of warfare within its concurrent social, political, technological milieu and, finally a “paradoxical logic” school, which equates strategy with the generation of uncertainty. The author offers some intuitive concepts from non-cooperative game theory to develop a “dominate-mix” approach to strategy choice. In doing so, he helps to reconcile these disparate approaches and provides a simple framework to assist researchers in framing military decisions as well as to assist planners in choosing among strategies.