Cost-Profit Trade-Off for Optimally Locating Automotive Service Firms under Uncertainty

Peng Wu, Cheng Hu Yang, Feng Chu, Meng Chu Zhou, Khaled Sedraoui, Fahad S. Al Sokhiry

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This work investigates the problem of optimally locating an automotive service firm (ASF) subject to stochastic customer demands, varying setup cost and regional constraints. The goal is to minimize the transportation cost while maintaining the specified profit of the ASF. This work studies two variants of the problem: ASF location with known demand probability distributions and with partial demand information, i.e., only the support and mean of the customer demands are known. For the former, a chance-constrained program is formulated that improves an existing model, and then an equivalent deterministic nonlinear program is constructed based on our property analysis results. For the latter, a novel distribution-free model is developed. The proposed models are solved by solver LINGO. Computational results on the benchmark examples show that: i) for the first variant, the proposed approach outperforms the existing one; ii) for the second one, the proposed distribution-free model can effectively handle stochastic customer demands without complete probability distributions; and iii) the results of the distribution-free model are slightly worse than those of the deterministic nonlinear one, but the former is more cost-efficient for the practical ASF location as it is less expensive in obtaining demand information. Moreover, the proposed models and approaches are extended to address a multi-ASF location allocation under demand uncertainty.

Original languageEnglish (US)
Article number8954919
Pages (from-to)1014-1025
Number of pages12
JournalIEEE Transactions on Intelligent Transportation Systems
Volume22
Issue number2
DOIs
StatePublished - Feb 2021

All Science Journal Classification (ASJC) codes

  • Automotive Engineering
  • Mechanical Engineering
  • Computer Science Applications

Keywords

  • cost-profit trade-off
  • distribution-free model
  • Facility location allocation
  • optimization
  • stochastic demand

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