In this paper, we introduce a practical variation of the standard vehicle routing problem (VRP). The problem is a combination of the multi-trip, open and VRP with time windows. A practical application of the introduced problem is to provide service for the university professors. In the studied problem, a set of professors have to teach at a university located in another city. The goal is planning and scheduling services for professors in order to minimize the total transportation cost with a set of side constraints including the maximum travel time for each passenger. We provide two mathematical models namely, node-based and scenario-based formulations. In addition, we present a heuristic method to produce feasible scenarios for the scenario-based model. Computational results clearly indicate the effectiveness of the models by solving real size instances.

Saeide Alsadat Hashemi

Majid Salari

Mohammad Ranjbar

International journal of industrial engineering

该杂志强调使用工程设计和分析，并努力保持研究和应用之间的平衡。该杂志涵盖工业工程的各个方面，特别是：数据挖掘和计算智能；生产计划与控制；运筹学；服务工程（医疗保健等）；可持续性（能源、环境等）；信息系统和技术；技术管理；制造业;工作测量、人为因素和人体工程学；质量、可靠性、维修工程；供应链管理;物流和物料搬运；产品设计与开发；统计分析;建模与仿真；国土安全（国防、防灾等）

The journal emphasizes the application of engineering design and analysis, striving to maintain a balance between research and practice. It covers various aspects of industrial engineering, with particular focus on the following areas: data mining and computational intelligence; production planning and control; operations research; service engineering (such as healthcare); sustainability (energy, environment, etc.); information systems and technology; technology management; manufacturing; work measurement, human factors, and ergonomics; quality, reliability, and maintenance engineering; supply chain management; logistics and material handling; product design and development; statistical analysis; modeling and simulation; and homeland security (defense, disaster prevention, etc.).

该杂志强调工程设计与分析的应用，并致力于研究与实践之间的平衡。它涵盖了工业工程的各个方面，特别关注以下领域：数据挖掘与计算智能、生产计划与控制、运筹学、服务工程（如医疗保健）、可持续性（包括能源与环境）、信息系统与技术、技术管理、制造业、工作测量、人因工程与人体工程学、质量、可靠性与维修工程、供应链管理、物流与物料搬运、产品设计与开发、统计分析、建模与仿真，以及国土安全（如国防与防灾）。

Category	Quartile
工程技术	4
工程技术, 工程工业	4
工程技术, 工程制造	4

Multi-Trip Open Vehicle Routing Problem with Time Windows: A Case Study

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Journal Info

Category	Quartile
ENGINEERING, MANUFACTURING	4