A Proliferation of Royal Air Forces

Australia's interest in nuclear weapons in the 1950s and 60s is usually explained in terms of high politics and grand strategy. This proliferation case study explores, in greater detail than hitherto, the important part played by the Royal Australian Air Force (RAAF) in pressing for a nuclear capability. It seeks to understand the reasons behind the RAAF's lobbying, in particular its previous experience with air power, its visceral desire for advanced manned bomber aircraft, and its strong institutional link to the British Royal Air Force. The decision in 1963 to acquire the supersonic US F-111 strike aircraft, instead of rivals including the British TSR.2, is also considered. Once the RAAF's bomber ambitions were satisfied, interest in nuclear weapons was greatly reduced. Finally, some comments are included on the nuclear interests of other air forces in the British Commonwealth.     

Inventory control of a multiproduct system with a limited production resource

Optimal control of the production of several products subject to restricted production resources is considered. Linear production, holding and penalty costs are assumed although this is crucial only for production costs. Excess demand results in lost sales. A single point plays an important role in the definition of the optimal policy.     

The reliability of multicomponent systems subject to cannibalization

A reliability model for multicomponent multistate systems is presented. This is a generalization of a model previously studied by Hirsch, Meisner, and Boll. In the earlier model, when a failure occurs for which no replacement spare is available, the locations using the same type of part as that having failed are “cannibalized” so as to allocate the shortages to locations where they are least detrimental to system performance. Here, we permit certain restrictions to be imposed upon the cannibalization procedure, and develop effective techniques for relating the probability laws governing the level of system performance to the system structure, cannibalization policy, kit of spare parts, and part reliabilities.     

Optimal control of continuous-time terminal-value birth-and-death processes and airline overbooking

Consider a continuous-time airline overbooking problem that relates to a single-leg flight and a single service class with a stationary fare. Passengers may cancel their reservations at any time and receive a full refund. Therefore fares can be thought of as being paid at flight time. At that time, the airline bumps passengers in excess of flight capacity and pays a penalty for so doing. The wflight-time revenue, that is, fares received less bumping penalties paid, is quasiconcave in the number of reservations at that time. We model the reservations process as a continuous-time terminal-value birth-and-death process. A more general model than is necessary for an airline reservations system is considered, in which the airline controls both the reservation acceptance (birth) and the cancellation (death) rates. In current practice airlines do not control cancellation rates (though other industries do exercise such control, e.g., hotels) and control reservation acceptance rates by declining reservation requests. The more general model might be applied to other targeting applications, such as steering a vehicle through space toward a target location. For the general model a piecewise-constant booking-limit policy is optimal; that is, at all times the airline accepts reservation requests up to a booking limit if the current number of reservations is less than that booking limit, and declines reservation requests otherwise. When the airline is allowed to decline all reservation requests, as is the case in practice, the booking-limit optimal policy defined by using the greatest optimal booking limit at all times is piecewise constant. Moreover, these booking limits fall toward flight time. © 1996 John Wiley & Sons, Inc.     

Partitioning and balancing for the assembly of nozzle guide vanes in gas turbine engines

The gas turbine engine is used to power many different types of commercial and military aircraft. During the scheduled maintenance of these engines, many of the turbine components are replaced. Of particular importance to us is the replacement of nozzle guide vanes in the nozzle assembly section of the engine. Individual vanes are selected from inventory to make up sets, and each set must meet certain characteristics in order to be feasible. The vanes in each set must then be sequenced in order to meet additional criteria. In this article, we give heuristics for the above partitioning and sequencing problems. Empirical analyses, using actual data from a branch of the armed services and a major engine manufacturer, are used to evaluate the proposed heuristics. The results of these analyses indicate that the heuristics are effective.     

Optimizability of utility and value functions

For more than a decade, multiattribute utility/value theory and multiobjective mathematical programming have offered different approaches to similar problems. Unfortunately, the two areas have developed with little interaction in spite of their common aims. We consider the use of utility/value functions in a mathematical programming framework, and demonstrate that these functions often possess desirable properties from an optimization point of view. We conclude that a hybridization of approaches is more viable than is perhaps commonly assumed.     

British Policy on Total Maritime Warfare and the Anti-Shipping Campaign in the Mediterranean, 1940–1944

During World War II, the British ran a sustained anti-shipping campaign against Axis merchant and supply traffic in the Mediterranean. Although the effects of this on the land war in North Africa have been the subject of much debate, little attention has been paid to the nature and prosecution of the campaign itself. This article analyses the changes in British attitudes and policy towards attacking merchant shipping prior to and throughout the campaign. It then goes on to examine the conduct of the campaign itself and compare it with other British efforts elsewhere during the war. It concludes that the anti-shipping campaign in the Mediterranean was a unique combined arms offensive for the British, and a major evolution in their attitudes and policy towards maritime total war.