# Deterministic Production Planning: Algorithms and Complexity

@article{Florian1980DeterministicPP, title={Deterministic Production Planning: Algorithms and Complexity}, author={Michael Florian and Jan Karel Lenstra and Alexander H. G. Rinnooy Kan}, journal={Management Science}, year={1980}, volume={26}, pages={669-679} }

A class of production planning problems is considered in which known demands have to be satisfied over a finite horizon at minimum total costs. For each period, production and storage cost functions are specified. The production costs may include set-up costs and the production levels may he subject to capacity limits. The computational complexity of the problems in this class is investigated. Several algorithms proposed for their solution are described and analyzed. It is also shown that some…

## 604 Citations

Production planning with time-dependent capacity bounds

- Mathematics
- 1982

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The key result of this work is a polynomial-time solution approach to the problem under time-invariant finite production capacities and piecewise-linear and concave revenue functions in price.

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- Computer Science
- 1988

Thís paper develops a new heuristic approach for the capacitated single machine lot-sizing problem, incorporating more realistic features such as production and storage capacities, as well as…

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- Computer Science
- 1986

In this paper, the design of an hierarchical model for production planning and scheduling is discussed in a real-life case study and heuristic solution procedures are developed for all sub-problems.

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- 1990

A heuristic for operational production planning in a chemical processing environment, characterized by a single bottleneck machine, fixed batch sizes, sequence-dependent setup times, as well as production and storage capacity constraints, is developed.

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An extremely fast and simple method is presented for finding a "good" initial schedule in the case of a continuous-time single machine problem with the goal of minimizing setup and holding costs.

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