Product guarantees or warranties have been around for generations, but formal approaches for establishing and examining warranties have been considered only during the past 20 years. A review of the literature on warranty models and analysis methods is provided, along with some suggestions for further research.

The problem of assigning patrol boats. subject to resource constraints, to capture or delay an infiltrator with perishable contraband attempting escape across a long, narrow strait is formulated as a two-sided time sequential game. Optimal mixed strategies are derived for the situation of one patrol boat against one smuggler. Procedures for obtaining numerical solutions for R > 1 patrol boats are discussed.

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This paper describes an accurate method of approximating the mean of the first-passage time distribution for an Ornstein-Uhlenbeck process with a single absorbing barrier. The accuracy of the approximation is demonstrated through some numerical comparisons.