Premium
Note: The economic manufacturing lot‐sizing problem with imperfect production processes: Bounds and optimal solutions
Author(s) -
Hariga M.,
BenDaya M.
Publication year - 1998
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/(sici)1520-6750(199806)45:4<423::aid-nav8>3.0.co;2-7
Subject(s) - imperfect , sizing , mathematical optimization , sensitivity (control systems) , production (economics) , exponential distribution , exponential function , computer science , distribution (mathematics) , optimal control , mathematics , mathematical economics , economics , statistics , art , mathematical analysis , philosophy , linguistics , electronic engineering , engineering , visual arts , macroeconomics
In this paper, we consider the economic production quantity problem in the presence of imperfect processes. In the literature, the time to shift from the in‐control state to the out‐of‐control state is assumed to be exponentially distributed. In this study, we consider general time to shift distributions and provide distribution‐based and distribution‐free bounds on the optimal cost. For the exponential case, we compare the optimal solutions to approximate solutions proposed in the literature. A numerical example is used to illustrate the analysis presented and to conduct a sensitivity analysis in order to see the effect of the input parameters on the various solutions to the problem. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 423–433, 1998