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.     

Applying Lanchester's linear law to model the Ardennes campaign

In modern warfare, many believe the decisive factor in winning a battle is seizing the right moment to shift from defense to attack, or vice versa. This paper attempts to bring that perspective to Lanchester's differential equations of warfare, and continues the application of Lanchester's linear law to the analysis of the World War II battle of Ardennes, as reported in earlier issues of Naval Research Logistics by Bracken and by Fricker. A new variable, shift time, accounting for the timing of the shift between defense and attack is explicitly included in our version of the model, and it helps obtain improved goodness of fit to historical data. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48:653–661, 2001     

Reinterpreting western use of coercion in Bosnia‐Herzegovina: Assurances and carrots were crucial

This article demonstrates that assurances and carrots accompanied credible threats every time Western coercion succeeded in Bosnia. This finding is hardly surprising as it merely confirms earlier research on coercive diplomacy, but it is nevertheless important because the crucial role played by assurances and carrots has been completely ignored in most analyses to date. It also has important policy implications at a time when Western, and particularly American, policy‐makers tend to ignore this fact at their peril. US policy towards Iraq and Western policy towards Yugoslavia have been based almost exclusively on the stick in recent years, and its lack of success is therefore not surprising. If Western policy‐makers had learned the right lessons from Bosnia, they would have known that strategies coupling credible threats with credible assurances and carrots would have been more likely to succeed.