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The heterogeneous fixed fleet open vehicle routing problem (HFFOVRP) is one of the most significant extension problems of the open vehicle routing problem (OVRP). The HFFOVRP is the problem of designing collection routes to a number of predefined nodes by a fixed fleet number of vehicles with various capacities and related costs. In this problem, the vehicle doesn’t return to the depot after se...

We study an optimization problem of a regional airline company. The problem integrates three stages of the planning process that are typically solved in sequence: fleet assignment, aircraft routing and crew pairing. Aircraft maintenance is also taken into account. We present two mathematical formulations for the integrated problem. One formulation could be considered the natural model where bot...

In this paper we examine five different strategies for limiting the local search neighborhoods in the context of vehicle routing problems. The vehicle routing problem deals with the assignment of a set of transportation orders to a fleet of vehicles, and the sequencing of stops for each vehicle to minimize transportation costs. The examined strategies are applied to four standard neighborhoods ...

In recent years, great efforts have been made to reduce greenhouse gas emissions by vehicles. Petroleum products produces greenhouse gas emissions, therefore reducing the use of these products can make a major contribution to reducing pollution. The Fleet Size and Mix Vehicle Routing Problem is one of the most widely used routing branches. In this problem, there are vehicle with different capac...

Historically, maximizing profits for corporate shareholders has been the primary goal for aircraft designers. Due to climate change concerns, environmental performance is quickly becoming a major design focus. A methodology to design one or more aircraft to satisfy demand on a given route network is described. The objectives are to minimize direct operating costs, CO2 emissions and NOX emission...

this paper discusses the multi-depot vehicle routing problem of heterogeneous fleet of vehicles with time windows for perishable commodities. the objective of the problem is to minimize the total time required for servicing all customers that is equivalent to the total cost. commodities are delivered to the customers with defined time windows by a fleet of heterogeneous vehicles, which have lim...

We introduce a new assignment and scheduling problem in a distribution system, which we refer to as the ASTV problem: Assigning and Scheduling transportation Tasks to Vehicles. In this problem, commodities need to be delivered directly from their origins to their destinations within specified time windows, using a fleet of homogenous capacitated vehicles. A set of routes, each of which performs...