### Abstract

A learning effect occurs when the amount of labor required per unit of production decreases as cumulative production increases. Learning effects occur in many situations, and this effect can be especially significant in the startup of a new process. However, from a modeling viewpoint, the inclusion of learning effects can result in a problem that is considerably more difficult to solve than when these effects are ignored. A number of mathematical programming solution methods have been proposed for modeling a learning effect. Unfortunetely, these methods frequently require the implementation of sophisticated algorithms. In this paper we develop an alternate solution strategy for modeling a learning effect based upon the use of Successive Linear Programming (SLP). This approach is particularly attractive in that it can be easily implemented, and only requires access to a linear programming package.

Original language | English (US) |
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Pages (from-to) | 78-84 |

Number of pages | 7 |

Journal | European Journal of Operational Research |

Volume | 40 |

Issue number | 1 |

DOIs | |

State | Published - May 5 1989 |

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### All Science Journal Classification (ASJC) codes

- Modeling and Simulation
- Management Science and Operations Research
- Information Systems and Management

### Cite this

}

**Modeling learning effects via successive linear programming.** / Harrison, Terry Paul; Ketz, John Edward.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Modeling learning effects via successive linear programming

AU - Harrison, Terry Paul

AU - Ketz, John Edward

PY - 1989/5/5

Y1 - 1989/5/5

N2 - A learning effect occurs when the amount of labor required per unit of production decreases as cumulative production increases. Learning effects occur in many situations, and this effect can be especially significant in the startup of a new process. However, from a modeling viewpoint, the inclusion of learning effects can result in a problem that is considerably more difficult to solve than when these effects are ignored. A number of mathematical programming solution methods have been proposed for modeling a learning effect. Unfortunetely, these methods frequently require the implementation of sophisticated algorithms. In this paper we develop an alternate solution strategy for modeling a learning effect based upon the use of Successive Linear Programming (SLP). This approach is particularly attractive in that it can be easily implemented, and only requires access to a linear programming package.

AB - A learning effect occurs when the amount of labor required per unit of production decreases as cumulative production increases. Learning effects occur in many situations, and this effect can be especially significant in the startup of a new process. However, from a modeling viewpoint, the inclusion of learning effects can result in a problem that is considerably more difficult to solve than when these effects are ignored. A number of mathematical programming solution methods have been proposed for modeling a learning effect. Unfortunetely, these methods frequently require the implementation of sophisticated algorithms. In this paper we develop an alternate solution strategy for modeling a learning effect based upon the use of Successive Linear Programming (SLP). This approach is particularly attractive in that it can be easily implemented, and only requires access to a linear programming package.

UR - http://www.scopus.com/inward/record.url?scp=0024961885&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024961885&partnerID=8YFLogxK

U2 - 10.1016/0377-2217(89)90274-9

DO - 10.1016/0377-2217(89)90274-9

M3 - Article

VL - 40

SP - 78

EP - 84

JO - European Journal of Operational Research

JF - European Journal of Operational Research

SN - 0377-2217

IS - 1

ER -