## Abstract

Facility location and allocation decision problem LAPs (Location-Allocation Problems) aiming to minimize total expenses, such as transportation expenses, have been considered in conventional supply chain networks. Facility location and inventory decision problem PM-LIPs (Profit-Maximization Location-Inventory Problems), which aim to maximize profits, are also being studied. This study considers a case in which a customer's demand is sensitive to the price of the commodity, and presents the PM-LIPs of the distribution center, which considers inventory cost and profit ratio. It also verifies the efficiency of the solution through numerical experiments. In this paper the new efficient solution algorithm based on piecewise linear approximation is developed.

Original language | English |
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Pages (from-to) | 457-482 |

Number of pages | 26 |

Journal | ICIC Express Letters |

Volume | 14 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2020 |

## Keywords

- Mixed integer program-ming
- Piecewise linear approximation
- Profit-maximization location-inventory problems

## ASJC Scopus subject areas

- Control and Systems Engineering
- Computer Science(all)