Abstract

In a recent issue of this journal, Trypia presented a mixed‐integer programming model to plan production of a line of products in several departments of a firm. Strict capacity restrictions were imposed on each production facility. This paper presents three variations of Trypia's model suitable for discussion in production management and mathematical modelling courses. First, it presents the uncapacitated version of Trypia's problem, mainly to highlight an interesting and useful structural property in the model. Next, a more realistic version of Trypia's problem, in which alternative short‐term capacity expansion strategies, such as overtime, extra shifts and sub‐contracting are available to management, is presented. Finally, the multi‐period version of Trypia's problem is discussed.

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