This publication is the third in a series of articles by Abdel-Malek et al. [2004. Exact, approximate, and generic iterative models for the multi-product newsboy with budget constraint. International Journal of Production Economics 91, 189–198] and Abdel-Malek and Montanari [2005. An analysis of multi-product newsboyproblem with a budget constraint. International Journal of Production Economics 97, 296–307], which appeared in IJPE addressing issues regarding the newsboy models. In this paper, models are developed to extend the existing ones to cover randomyield scenarios. We designate this type of models as the GardenerProblem. The models are based on the application of Lagrange multipliers, Leibniz's rule and Newton's method to obtain the optimum solution for the considered randomyield and probabilistic demand situations. The developed methodologies are applicable to general probability distribution functions. Examples are given to show the applicability of the developed approach to different probability distributions for both the supply and the demand as well as for interdependent yield structures.
The capacitated newsboy problem with random yield: The gardener problem / L. L. ABDEL-MALEK; MONTANARI R.; D. MENEGHETTI. - In: INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS. - ISSN 0925-5273. - 115(1)(2008), pp. 113-127. [10.1016/j.ijpe.2008.05.003]
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