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  2. Assignment problem - Wikipedia

    en.wikipedia.org/wiki/Assignment_problem

    This is an unbalanced assignment problem. One way to solve it is to invent a fourth dummy task, perhaps called "sitting still doing nothing", with a cost of 0 for the taxi assigned to it. This reduces the problem to a balanced assignment problem, which can then be solved in the usual way and still give the best solution to the problem.

  3. Transportation theory (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Transportation_theory...

    In mathematics and economics, transportation theory or transport theory is a name given to the study of optimal transportation and allocation of resources. The problem was formalized by the French mathematician Gaspard Monge in 1781. [1] In the 1920s A.N. Tolstoi was one of the first to study the transportation problem mathematically.

  4. Route assignment - Wikipedia

    en.wikipedia.org/wiki/Route_assignment

    Route assignment, route choice, or traffic assignment concerns the selection of routes (alternatively called paths) between origins and destinations in transportation networks. It is the fourth step in the conventional transportation forecasting model, following trip generation , trip distribution , and mode choice .

  5. Quadratic assignment problem - Wikipedia

    en.wikipedia.org/wiki/Quadratic_assignment_problem

    The quadratic assignment problem (QAP) is one of the fundamental combinatorial optimization problems in the branch of optimization or operations research in mathematics, from the category of the facilities location problems first introduced by Koopmans and Beckmann. [1] The problem models the following real-life problem:

  6. Berth allocation problem - Wikipedia

    en.wikipedia.org/wiki/Berth_allocation_problem

    The berth allocation problem (also known as the berth scheduling problem) is a NP-complete problem in operations research, regarding the allocation of berth space for vessels in container terminals. Vessels arrive over time and the terminal operator needs to assign them to berths in order to be served (loading and unloading containers) as soon ...

  7. Vehicle routing problem - Wikipedia

    en.wikipedia.org/wiki/Vehicle_routing_problem

    Inventory Routing Problem (IRP): Vehicles are responsible for satisfying the demands in each delivery point [7] Multi-Depot Vehicle Routing Problem (MDVRP): Multiple depots exist from which vehicles can start and end. [8] Vehicle Routing Problem with Transfers (VRPWT): Goods can be transferred between vehicles at specially designated transfer hubs.

  8. Travelling salesman problem - Wikipedia

    en.wikipedia.org/wiki/Travelling_salesman_problem

    Another related problem is the bottleneck travelling salesman problem: Find a Hamiltonian cycle in a weighted graph with the minimal weight of the weightiest edge. A real-world example is avoiding narrow streets with big buses. [15] The problem is of considerable practical importance, apart from evident transportation and logistics areas.

  9. Assignment (computer science) - Wikipedia

    en.wikipedia.org/wiki/Assignment_(computer_science)

    In some programming languages, an assignment statement returns a value, while in others it does not. In most expression-oriented programming languages (for example, C), the assignment statement returns the assigned value, allowing such idioms as x = y = a, in which the assignment statement y = a returns the value of a, which is then assigned to x.