ISSN 1842-4562
Member of DOAJ

An Integer Programming Solution to the Riddle of the Pilgrims


Daniel FRIESEN
Mike C. PATTERSON


Keywords

Math, Optimization, Integer Programming, Riddles, Henry Dudeney

Abstract

Henry E. Dudeney is one of the most prolific, talented and best-known math riddle developers of all time. His 1907 publication The Canterbury Puzzles and Other Curious Problems, still in publication, is a classic. One of the riddles titled “The Riddle of the Pilgrims” developed decades before the development of linear and integer programming is a very good example of the challenge of formulating an integer optimization problem. This paper illustrates both the formulation and solution the “Pilgrim’s Riddle” as an integer programming problem.



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