Modelling the decision of paper shredder selection using analytic hierarchy process and graph theory and matrix approach

Zheng Yun Zhuang, I. Jen Chiang, Chia Rong Su, Chih Yung Chen

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


There are so many paper shredder products available in the market, and the decision to select a ‘right shredder’ usually involves a number of criteria. For organizations, complexity arises when the procurement function is to purchase a massive amount of shredders of the same type. This study initiated the idea to use the analytic hierarchy process with graph theory and matrix approach for solving the problem. The proposed model determines the best shredder from a pool of alternatives, given the buyer-side decision-maker’s preference settings. With the expert questionnaire polled and the heterogeneous real data collected, the model is applied to a reduced data set. The size of the decision problem is defined as 8 alternatives are filtered among 26, while the 7 justification attributes considered are fully kept for not losing the experimental meaning. The result shows the effectiveness and applicability of the approach to manage the encountered decision scientifically. As this also implies that not only buyers but also the manufacturers can use this model to analyse ‘something’, it is confident to conduct more future studies. The R script which implements the dynamic programming concept to calculate the assessed index scores for graph theory and matrix approach is perhaps another contribution of this study.

Original languageEnglish
JournalAdvances in Mechanical Engineering
Issue number12
Publication statusPublished - Dec 1 2017


  • analytic hierarchy process
  • data-driven decision-making
  • dynamic programming
  • graph theory and matrix approach
  • Multi-attribute decision-making
  • paper shredder
  • selection problem

ASJC Scopus subject areas

  • Mechanical Engineering


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