Most of the literature in cellular manufacturing focuses oncell formation instead of dealing with minimizing cost in a sys-tem that has already been established. All kinds of mathematicalprogramming techniques and heuristic methods including geneticalgorithms, neural networks, simulated annealing, ant colony opti-mization, Tabu search, data mining, and the bacteria foragingalgorithm have been applied to the problem of cell formation invarious scenarios for both deterministic and probabilistic demand[3–16]. In addition, several literature review papers exist on thenumerous optimization methods for the design and formationof manufacturing cells [17–20]. Offodile et al. [18] present areview that illustrates how few cellular manufacturing articles takemachine capacity into consideration. Ahkioon et al. [21] look atcellular manufacturing design slightly differently by focusing on