G-network models to support planning for disaster relief distribution

Abstract

One of the key activities during disaster response is distributing relief items to victims. This is a challenging task due to dynamically changing victim needs and disaster aftermath conditions. We model the distribution operations where items like tarpaulins and blankets are distributed by volunteers, to victims at temporary distribution areas called relief centers (RC). We investigate the impact victim movements have on the distribution performance. We model each RC as a queue, and the distribution operation as a generalised queuing network (G-network). We investigate product form solutions for the proposed G-network model, and prove a new product form result for G-networks with signals and batch transfer under certain conditions. We leverage this result to develop product form approximations that apply across a broad range of settings. We apply the G-network model to a case study using the Nepal earthquake relief distribution data, and quantify the impact of victim movement on network performance.

Keywords:

• Humanitarian logistics
• disaster response
• relief
• G-networks
• queuing
• Nepal earthquake

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Merve Ozen

Merve Ozen holds an Industrial and Systems Engineering doctorate degree from University of Wisconsin – Madison. Her research focuses on process improvement, optimisation, and decision making under uncertainty. Topics of interest include manufacturing systems, healthcare systems, and disaster response operations. She currently works as a business strategist in healthcare.

Ananth Krishnamurthy

Ananth Krishnamurthy is a Professor in Decision Sciences at Indian Institute of Management-Bangalore. His research focuses on stochastic modelling and optimisation techniques for the design and analysis of manufacturing systems and supply chains. Topics of interest include manufacturing systems competitiveness, warehousing and logistics, biomanufacturing, energy supply chains, and disaster operations. His research has been supported by government agencies and industry.