مهندسی سیستم و بهره‌وری

مهندسی سیستم و بهره‌وری

مدل خدمت‌دهی تضمین‌شده مبتنی بر عدالت برای استقرار موجودی اطمینان در شبکه‌های چندسطحی تحت محدودیت بودجه و ظرفیت: کاربردی در لجستیک انتخابات

نوع مقاله : پژوهشی

نویسندگان
1 گروه مهندسی صنایع، دانشکده فنی و مهندسی، دانشگاه امام حسین (ع)، تهران، ایران
2 دانشکده مهندسی صنایع، دانشگاه علم و صنعت ایران، تهران، ایران
چکیده
این مقاله یک مدل خدمت‌دهی تضمین‌شده برای استقرار راهبردی موجودی اطمینان در یک شبکه توزیع چندسطحی ارائه می‌دهد. برخلاف مدل‌های رایج خدمت‌دهی تضمین‌شده که با هدف حداقل‌سازی هزینه طراحی شده‌اند، این مدل در شرایط بودجه‌ی ثابت، به دنبال حداکثر‌سازی کمترین سطح خدمت ارائه‌شده به تمام گره‌ها است. به این منظور، مدل برنامه‌ریزی خطی عدد صحیح مختلط با ضرایب مواجهه با ریسک از پیش محاسبه‌شده در الگوریتم دوبخشی قرار داده شد تا مسئله حداکثر-حداقل به‌صورت دقیق حل شود. کارایی مدل بر روی شبکه توزیع چهارسطحی انتخابات در ایران، شامل سه استان با شرایط جغرافیایی و جمعیتی متفاوت، مورد ارزیابی قرار گرفت. نتایج نشان می‌دهد که تحت بودجه‌ای واقع‌بینانه، مدل قادر است سطح خدمت یکنواخت ۹۹ درصدی را محقق سازد که عملکرد آن به‌مراتب بهتر از رویۀ رایج مبتنی بر ۱۰ درصد موجودی اطمینان ثابت است. همچنین، تحلیل‌ها نشان می‌دهد که افزایش فاصله میان مراکز توزیع محلی و نقاط تقاضا، کارایی تجمیع ریسک را کاهش داده و بخش بیشتری از موجودی اطمینان را به سطوح پایین‌دست شبکه منتقل می‌کند. علاوه بر این، تحلیل انجام‌شده هزینه عدالت را کمی‌سازی می‌کند و نشان می‌دهد که برای تضمین دسترسی برابر به منابع، چه میزان کاهش کارایی باید پذیرفته شود. در نتیجه، این پژوهش ابزاری دقیق در اختیار تصمیم‌گیرندگان قرار می‌دهد تا بتوانند در شبکه‌های چندسطحی دارای محدودیت منابع، میان عدالت و هزینه تعادل برقرار کنند.

تازه های تحقیق

  • مدل سطح خدمت تضمین‌شده مبتنی بر عدالت
  • به‌کارگیری راه حل دو لایه و جستجوی دودویی روی ضریب ایمنی یکنواخت و MILP خطی شده
  • بهینه‌سازی استقرار موجودی در شبکه چندسطحی انتخابات

کلیدواژه‌ها

عنوان مقاله English

An Equitable Guaranteed-Service Model for Multi-Echelon Safety Stock Placement under Budget and Capacity Constraints: Application to Election Logistics

نویسندگان English

Shahram Aliyari 1
Milad Hashemi 1
Ebrahim Teimoury 2
1 Department of Industrial Engineering, Faculty of Engineering, Imam Hossein University, Tehran, Iran
2 School of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran
چکیده English

This paper presents a guaranteed-service model for the strategic safety stock placement in a multi-echelon distribution network. Unlike conventional guaranteed-service models, which are designed to minimize costs, the proposed model seeks to maximize the minimum service level provided to all nodes under a fixed budget constraint. To achieve this, a mixed-integer linear programming model with precomputed risk-exposure coefficients is embedded within a bisection search algorithm, enabling the max–min problem to be solved exactly. The model’s performance is evaluated on a four-echelon election distribution network in Iran, comprising three provinces with distinct geographic and demographic characteristics. The results show that, under a realistic budget, the model can achieve a uniform service level of 99%, substantially outperforming the common practice of maintaining a fixed 10% safety-stock policy. The analysis also reveals that increasing the distance between local distribution centers and demand points reduces the effectiveness of risk pooling and shifts a larger share of safety stock to the lower echelons of the network. Furthermore, the study quantifies the cost of equity, demonstrating the extent of efficiency loss that must be accepted to guarantee equal access to resources. Overall, the research provides decision-makers with a rigorous tool for balancing equity and cost in resource-constrained multi-echelon distribution networks.

کلیدواژه‌ها English

Election logistics
Guaranteed Service Model (GSM)
Strategic Safety Stock Placement (SSSP)
Multi-Echelon Inventory Optimization (MEIO)
Safety Stock

Copyright © Shahram Aliyari, Milad Hashemi, Ebrahim Teimoury

 

License

This article is released under the Creative Commons Attribution (CC BY 4.0) license. Anyone is free to copy, share, translate, and adapt this article for any purpose, whether commercial or non-commercial, as long as proper citation is given to the authors and original publication.

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انتشار آنلاین از 10 مرداد 1405

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