A School Bus Routing and Scheduling Problem with Time Windows and Possibility of Outsourcing with the Provided Service Quality

Author(s):  
Mohammad Reza Sayyari ◽  
Reza Tavakkoli-Moghaddam ◽  
Ajith Abraham ◽  
Nastaran Oladzad-Abbasabady
Author(s):  
Ali Shafahi ◽  
Zhongxiang Wang ◽  
Ali Haghani

School bus planning is usually divided into routing and scheduling because of the complexity of solving them concurrently. However, the separation between these two steps may lead to worse solutions with higher overall costs than from solving them together. When the minimal number of trips in the routing problem is being determined, neglecting trip compatibility could increase the number of buses needed in the scheduling problem. This paper proposes a new formulation for the multischool homogeneous fleet routing problem that maximizes trip compatibility while minimizing total travel time. This plan incorporates the trip compatibility for the scheduling problem in the routing problem. A proposed heuristic algorithm for solving this problem decomposes the problem by schools. To compare the performance of the model with traditional routing problems, eight midsize data sets were generated. Importing the generated trips of the routing problems into the bus scheduling (blocking) problem shows that the proposed model can reduce the buses needed by up to 25%. A sensitivity analysis on coefficients of the model illustrates the effect of the weight of trip compatibility.


Author(s):  
Michela Spada ◽  
Michel Bierlaire ◽  
Thomas M. Liebling

Networks ◽  
2015 ◽  
Vol 65 (2) ◽  
pp. 180-203 ◽  
Author(s):  
Michael Bögl ◽  
Karl F. Doerner ◽  
Sophie N. Parragh

2005 ◽  
Vol 39 (4) ◽  
pp. 477-490 ◽  
Author(s):  
M. Spada ◽  
M. Bierlaire ◽  
Th. M. Liebling

Ingeniería ◽  
2015 ◽  
Vol 20 (1) ◽  
Author(s):  
Eduyn Ramiro Lopez Santana ◽  
Jose de Jesus Romero Carvajal

<span>This paper attempts to solve the School Bus Routing Problem with Time Windows that consists of finding the best set of routes to pick up students distributed geographically with constraints as capacity, time windows and maximum travel time. We formulated the problem as a classic Vehicle Routing Problem with Time Windows and solved it using an approach based on a clustering algorithm and column generation method. A real world case from a school in Bogotá, Colombiais presented including 600 students to pick up in near 400 nodes located in urban and rural areas. The obtained results demonstrate a reduction as the problem’s complexity and  an improvement on the performance measures of the proposed method.</span>


Author(s):  
Hsiao-Fan Wang

One key role along green supply chain is the distribution center which has the responsibility to deliver the commodities to the customers and collect the end-used products back to the center for further process. This activity requires a distributor to determine how many vehicles with what sizes along which routes to deliver commodities so that the demands from all customers will be satisfied within customers’ available time with minimum operation cost. This problem can be classified into a vehicle routing and scheduling problem with multiple vehicle types and service time windows. In practice, the complexity of the problem requires a structural model to facilitate general analysis and applications. However, also because of its complexity, an efficient solution procedure is equivalently important. Therefore, in this study, we have first developed a model for a distribution center to support the decisions on vehicle types and numbers; as well as the routing route and schedule so that the overall operation cost will be minimized. Since this model of vehicle routing and scheduling problem with multiple vehicle types and multiple time windows (VRSP-MVMT) is a nondeterministic polynomial time (NP)-hard problem, we have developed a genetic algorithm (GA) for efficient solution. The efficiency and accuracy of the algorithm will be evaluated and illustrated with numerical examples.


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