A Multi-Objective Mathematical Optimization Model for Resource Allocation in the Implementation of Administrative Policies in the Judiciary

Abstract

Optimal resource allocation in the implementation of administrative policies in the Judiciary is one of the key challenges facing managers in this field. The present study was conducted with the aim of designing a multi-objective mathematical optimization model for resource allocation in the implementation of administrative policies in the Judiciary. The study is applied-developmental in nature. After identifying the key factors through field studies, a multi-objective nonlinear optimization model was designed using mathematical programming techniques. The proposed model includes three objective functions: maximizing effectiveness, minimizing cost, and maximizing mutual influence. These objectives are defined under budget, time, human-resource, and balance constraints among different categories of factors. The results of solving the model showed that adaptability (0.9156) and organizational structure (0.8645) received the highest levels of allocation. In addition, the total system effectiveness reached 0.8532, covering 121.89% of the minimum required level. The model provides a practical tool for senior managers of the Judiciary to support strategic decision-making in resource allocation.