Abstract
This paper examines a stochastic non-sequential capacitated production-planning problem where the demand of each period is a continuous random variable. The stochastic non-sequential production-planning problem is examined with sequence-independent and then with sequence-dependent set-up costs, and the worst-case error determined when an approximate solution is obtained by solving the deterministic equivalent. We prove in general that the worst-case error is not dependent on the nature of the set-up cost, and identify a family of approximations for the stochastic non-sequential production-planning problem.
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Rao, S., Schneller, G. On the Stochastic Non-sequential Production-planning Problem. J Oper Res Soc 41, 241–247 (1990). https://doi.org/10.1057/jors.1990.40
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DOI: https://doi.org/10.1057/jors.1990.40