Machine maintenance with workload considerations

Machine maintenance is modeled in the setting of a single‐server queue. Machine deterioration corresponds to slower service rates and failure. This leads to higher congestion and an increase in customer holding costs. The decision‐maker decides when to perform maintenance, which may be done pre‐emptively; before catastrophic failures. Similar to classic maintenance control models, the information available to the decision‐maker includes the state of the server. Unlike classic models, the information also includes the number of customers in queue. Considered are both a repair model and a replacement model. In the repair model, with random replacement times, fixed costs are assumed to be constant in the server state. In the replacement model, both constant and variable fixed costs are considered. It is shown in general that the optimal maintenance policies have switching curve structure that is monotone in the server state. However, the switching curve policies for the repair model are not always monotone in the number of customers in the queue. Numerical examples and two heuristics are also presented. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Mandated defence offsets: can they ever deliver?

Defence offsets are elements of defence procurement deals additional to the primary content. Offsets are usually expected to yield technological or industrial benefits to the purchasing country (e.g. countertrade, technology transfers, or additional jobs) and military buyers often require suppliers to make offsets available “cost-free.” The authors argued previously that such strategies achieve little of value to buyers that lack market power and are unnecessary otherwise, since purchasers with the market power to extract more value for money from foreign suppliers can do so anyway. This article also focuses on the supply side of offset deals. The USA is the world's largest defence offsets supplier but the US government opposes offsets demands as economically inefficient and trade distorting. Even if offsets are inefficient and trade distorting, they may still benefit a materiel-exporting country such as the USA as they may induce exports and create associated benefits for the offsets provider.     

A characterization of optimal base‐stock levels for a multistage serial supply chain

In this article, we present a multistage model to optimize inventory control decisions under stochastic demand and continuous review. We first formulate the general problem for continuous stages and use a decomposition solution approach: since it is never optimal to let orders cross, the general problem can be broken into a set of single‐unit subproblems that can be solved in a sequential fashion. These subproblems are optimal control problems for which a differential equation must be solved. This can be done easily by recursively identifying coefficients and performing a line search. The methodology is then extended to a discrete number of stages and allows us to compute the optimal solution in an efficient manner, with a competitive complexity. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 32–46, 2016     

Force protection and society

Wars have long been fought with a firm focus upon armies' domestic contexts. These socio-political foundations have underpinned decisions regarding embarking upon war as well the conduct of war itself. Of particular importance among liberal democracies is the emphasis which is now placed upon force protection; broadly conceived as the range of measures employed to ensure the protection of servicemen and women on operations. Decisions surrounding protective equipment, deployed locations and wartime activities all face detailed scrutiny in contemporary operating environments. The attitudes of the government, the military and the civilian population combine to create a complex and dynamic backdrop of harmony and tension to this most sensitive characteristic of modern wars.     

Book reviews

The Balkanization of the West: The Confluence of Postmodernism and Postcommunism By Stjepan G. Mestrovic, Routledge, London (1994). ISBN: 0-414-08755-4, Price £40.00 hardback, £13.99 paperback.

A Naval History of World War I By Professor Paul G. Halpern, UCL Press, 1994. pp. 624 ISBN 1-85728-295-7. Price £25.00

Arms Watch - SIPRI Report on the First Year of the UN Register of Conventional Arms By Edward J. Laurance, Siemon T. Wezeman and Herbert Wulf, Oxford University Press for SIPRI (1993) ISBN 019-829-1795, Price £25.00 hardback, £16.50 paperback.

A League of Airmen By J. A. Winnefeld, (Ed.), RAND, Santa Monica, ISBN 08330-1503-6, Price $30.00 (Hardcover) $15.00 (Softcover)     

A stochastic constrained optimal replacement model

In this paper a stochastically constrained replacement model is formulated. This model determines a sequence of replacement dates such that the total “current account” cost of all future costs and capital expenditures over an infinite time horizon for the n initial incumbent machines is minimized subject to the constraints that an expected number of machines are in a chosen utility class at any point in time. We then indicate one possible solution method for the model.     

Attack and defense of ICBMs deceptively based in a number of identical areas

On-site verification of ICBMs in the context of an arms control agreement might involve a situation where an inspector would choose one or more of a number of identical areas to inspect and would have confidence that the other areas had the same characteristics. This article considers optimal attack and defense of missiles deceptively based in a number of identical areas. The attacker may allocate warheads across areas as he desires and uniformly within areas. The defender may allocate interceptors across areas as he desires and either uniformly or preferentially within areas. The effect of restricting the defender to uniform allocation across areas is explored for various assumptions. Robustness of surviving missiles with respect to the number of attacking warheads is studied. Results are presented for a wide range of cases.