Logo Logo

Weighted Assignment Models and their Application, Management Science

Abstract

This paper defines the components and characteristics of an important class of models called weighted assignment models and identifies these elements in a number of existing and potential applications. The weighted assignment model represents problems with the following characteristics: A set of tasks must be divided among a set of agents, and each task must be completed by only one agent. Tasks may be completed at one of several predetermined levels. When an agent completes a task at some levels, a resource possessed by the agent is consumed and a system disutility is incurred. The weighted assignment model may be used to determine the best assignment of tasks to agents and the task completion levels so as to minimize total system disutility while satisfying the agent resource constraints. In the first part of the paper, a general formulation is presented, and its relationship to assignment models, transportation models, knapsack models and various fixed charge models is established. In the second part of the paper, a number of applications are described which demonstrate the usefulness of weighted assignment models. These applications include machine loading problems, personnel assignment problems and districting problems. Computational results for several of the applications are presented to document the tractability of the models.

Type

Article

Author(s)

Andris Zoltners

Date Published

1979

Citations

Zoltners, Andris. 1979. Weighted Assignment Models and their Application. Management Science. 25(7): 683-696.

KELLOGG INSIGHT

Explore leading research and ideas

Find articles, podcast episodes, and videos that spark ideas in lifelong learners, and inspire those looking to advance in their careers.
learn more

COURSE CATALOG

Review Courses & Schedules

Access information about specific courses and their schedules by viewing the interactive course scheduler tool.
LEARN MORE

DEGREE PROGRAMS

Discover the path to your goals

Whether you choose our Full-Time, Part-Time or Executive MBA program, you’ll enjoy the same unparalleled education, exceptional faculty and distinctive culture.
learn more