Section 3 is devoted to the mathematical formulation of the optimal scheduling problem. The solution strategy, with the three decomposition schemes, is given in Section 4.

This paper investigates the Flexible Layout Design Problem (FLDP), which involves a set of stations arranged in a matrix-structured manufacturing system (MMS). Initially, the main objectives are to ...

Over the past decades, the mathematical formulation of physical theories has evolved to provide a unified framework that bridges classical mechanics, quantum mechanics and quantum information theory.

Possibilistic linear programming: a brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem. Fuzzy Sets and Systems, 111: 328.

The Berth Allocation Problem (BAP) is the problem of allocating berthing spaces and scheduling container vessels on these spaces so as to minimize total weighted time. We study a version of BAP in ...

OpenAI on Friday unveiled a new artificial intelligence system, OpenAI o3, which is designed to “reason” through problems involving math, science and computer programming.

Niv Buchbinder, Kamal Jain, Mohit Singh, Secretary Problems via Linear Programming, Mathematics of Operations Research, Vol. 39, No. 1 (February 2014), pp. 190-206 ...

Instead, you can apply a rigorous mathematical model called linear programming, which roughly approximates the problem as a set of equations and methodically checks the possible combinations to find ...

Minhyong Kim is leading a new initiative called Mathematics for Humanity that encourages mathematicians to apply their skills to solving social problems.

Discover how fuzzy programming methods, such as Chandra Sen's and statistical averaging, can convert multi-objective linear programming problems into single objective functions. Explore numerical and ...