The Bicycle Problem.

Abstract

In the paper, one considers the so-called 'bicycle problem,' a scheduling problem which minimizes the travel time of n men assisted by a bicycle with carrying capacity 1. One finds here necessary conditions and sufficient conditions for optimality of a schedule. One also finds interesting examples which are simple but require countably many switch-offs to attain optimality. General conditions for optimality are proved for some cases and presented as a conjecture in general for this problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1970
Accession Number
AD0715787

Entities

People

  • Shinji Masuda

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Engineering
  • Payload
  • Scheduling (Production)
  • Time
  • Travel Time

Fields of Study

  • Mathematics

Readers

  • Exercise and Sports Science.
  • Mathematical Modeling and Probability Theory.
  • Operations Research