The All-pairs shortest path problem (ALL-SPP) aims to find the shortest path joining all the vertices in a given graph. This study proposed a new optimal method, Dhouib-matrix-ALL-SPP (DM-ALL-SPP) to solve the ALL-SPP based on column-row navigation through the adjacency matrix. DM-ALL-SPP is...

The paper presents algorithms of determining a synchronized movement schedule of many objects. The author defines movement scheduling as a bicriterion nonlinear optimization problem. He also presents a method of solving the bicriterion problem which is based on finding a lexicographic solution....

The paper deals with the problem of determining movement schedule of many objects, used in many domains such as: routing in computer networks, movement planning of mobile robots, tasks processing in parallel or distributed computing systems, arms control of independent robots, planning and...

We describe an O(n[exp.4]h min{log U, n[exp.2] log n}) capacity scaling algorithm for the minimum cost submodular flow problem.Our algorithm modifies and extends the Edmonds-Karp capacity scaling algorithm for minimum cost flow to solve the minimum cost submodular flow problem. The modification...