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Measuring and Achieving Equity in Multiperiod Emergency Material Allocation.

Yanyan Wang1, Vicki M Bier2, Baiqing Sun1

  • 1School of Management, Harbin Institute of Technology, Harbin, China.

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Summary
This summary is machine-generated.

This study introduces a multiperiod emergency material allocation model to ensure fairer distribution and minimize losses during disasters. The model balances equity with emergency response costs, improving overall logistics.

Keywords:
Costemergency material allocationequitymultiperiod allocationmultiple locationsutility functions

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Area of Science:

  • Operations Research
  • Disaster Management
  • Logistics

Background:

  • Emergency material allocation is crucial for post-disaster logistics, aiming to enhance rescue effectiveness and reduce losses.
  • Traditional single-period models often lead to inefficiencies like surpluses, shortages, and high costs, hindering equitable and optimal multiperiod distribution.
  • Addressing material shortages relative to victim demand is a key challenge in disaster response.

Purpose of the Study:

  • To develop and demonstrate a multiperiod model for equitable emergency material allocation to multiple disaster locations.
  • To analyze the relationship between allocation equity and emergency response costs.
  • To explore the impact of nonlinear utility functions on fairness and loss minimization.

Main Methods:

  • Introduction of a multiperiod allocation model for emergency materials.
  • Utilizing an exponential utility function to quantify the disutility of material shortfalls.
  • Employing numerical examples to validate the model's feasibility and usefulness.
  • Investigating the impact of varying utility functions for different material types.

Main Results:

  • The proposed multiperiod model facilitates equitable allocation of emergency materials among multiple locations.
  • Incorporating a nonlinear utility function improves allocation fairness and minimizes losses from significant shortfalls.
  • Achieving greater equity in material allocation has a notable, yet reasonable, impact on overall emergency response costs.
  • The flexibility to use different utility functions for various materials enhances the model's adaptability.

Conclusions:

  • The multiperiod equitable allocation model is effective for improving emergency logistics in disaster scenarios.
  • Nonlinear utility functions are valuable tools for enhancing fairness and reducing losses in emergency material distribution.
  • There is a trade-off between equity and cost in emergency response, which can be managed through appropriate modeling.
  • Tailoring utility functions to specific material types offers a flexible approach to optimizing emergency material allocation.