A Linear Model for the Single Machine Lotsize Scheduling Problem.

Abstract

Past research on the Bomberger lotsize scheduling problem has relied heavily on the following assumptions: (1) Each product is to be produced on a regular invariant cycle. (2) The inventory level at the onset of each production run for a product being produced is zero. In this paper these two restrictions have been dropped. It is shown that the inventory cost function can still be expressed as a linear function. A linear programming model is formulated. Sensitivity analysis is used to find an optimal cycle length. Numerical examples are used to show how the model can be used to develop lotsize schedules which are both practical and low cost. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1977
Accession Number
ADA038794

Entities

People

  • Thom J. Hodgson

Organizations

  • University of Florida

Tags

Communities of Interest

  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Computer Programming
  • Data Sets
  • Dynamic Programming
  • Engineering
  • Equations
  • Inventory
  • Inventory Control
  • Linear Programming
  • Military Research
  • New Jersey
  • Operations Research
  • Production
  • Production Rate
  • Scheduling (Production)
  • Sensitivity
  • Sequences
  • Systems Engineering

Fields of Study

  • Mathematics

Readers

  • Economics
  • Operations Research