F. J. (Floyd Jerome) Gould's research while affiliated with University of Chicago and other places

Publications (8)

Article
This paper considers an N period production planning problem in which a sequence of known demands d 1 , d 2 ,…, d N must be satisfied. The cost of production in period t consists of a setup cost K t plus a marginal cost per unit c t . The cost of carrying a unit of inventory into period t is h t − 1 . An optimal policy is a production plan that sat...
Article
This paper presents algorithms for finding solutions and planning horizons to two related T period, one product, deterministic production problems with capacity constraints and penalty costs for unsatisfied demand. The algorithms are derived from an application of Lagrangian techniques to problems with inequality constraints.

Citations

... We provide two examples of 0 -1 IP problems in Appendix B. Example 1 is the classical knapsack problem that can be found in various Operations Research textbooks (Gould et al., 1993, Hillier and Lieberman, 2021, Winston and Albright, 2019. Example 2 is a Set-Covering problem and similar problems can be found in several textbooks (Hillier and Lieberman, 2021, Winston, 2004, Taylor, 2018. ...
... Deterministic Finite Piecewise linear convex Piecewise linear convex Piecewise linear convex Eppen and Gould (1968) [11] Deterministic Finite Strictly convex, increasing Linear Strictly convex, increasing Kunreuther and Morton (1973) [6] Deterministic Finite Piecewise linear, two pieces Convex N/A Kunreuther and Morton (1974) [7] Deterministic Finite Piecewise linear, two pieces Convex increas- ing Convex increas- ing Morton (1978) [12] Deterministic Infinite Weakly convex Weakly convex Weakly convex Smith and Zhang (1998) [31] Deterministic Infinite Convex Convex N/A Ghate and Smith (2009) [1] ...
... In particular, Wagner-Whitin algorithm can be efficiently solved in () On time [4]. A.Aggarwal and J.K.Park in 1993 [5] presented that a special 'Monge arrays' is applied to improve the performance of H.M.Wagner and T.M.Whitin algorithm with () On time and algorithm of G.D. Eppen, F.J. Gould and B.P. Pashigian in 1969 with ( log ) O n n time [6]. A. Federgruen and M. Tzur in 1991 proposed a simple forward algorithm which solves the general dynamic lot sizing (Wagner- Whitin model) in ( log ) O n n time while the well-known shortest path still runs this model with 2 () On time [7]. ...
... Programación Lineal: La programación lineal proporciona un ejemplo de lo que se conoce de manera más general como modelo de toma de decisiones con restricciones, también llamado modelo de optimización con restricciones (Eppen, Gould, Schmidt, Moore, & Weatherford, 2000). ...
... In fact, today, this technique is one of the most used tools for quantitative analysis. Immediate results can be seen without manipulating the real system [6]. ...