4C1 SCHEDULING MULTIPROCESSOR TASKS WITH PROMPT SERVICE CONSTRAINTS ON ALIGNED IDENTICAL PROCESSORS
スポンサーリンク
概要
- 論文の詳細を見る
We consider a combinatorial optimization problem of scheduling n multiprocessor tasks on aligned m identical processors. Each task T_j is characterized by a processing time p_j, the number q_j of processors required, and a ready time r_j. There is a choice for each taks whether the aligned processors serve the task or not. If the aligned processors select a task T_j, they have to start the service of the task promptly after it becomes ready (i.e., they have to start the service exactly at time t=r_j), choosing consecutive q_j processors in the alignment. Any processor can handle at most one task at a time, and no preemption is allowed for the services of tasks (and hence, a selected task T_j is completed exactly at time t=r_j+p_j on the employed consecutive q_j processors). The objective is to find a feasible schedule that maximizes the number of selected tasks. We reduce the NP-complete PARTITION to the multiprocessor task scheduling problem, which implies the NP-hardness for an arbitrary m. We also show that if two processors are available and all tasks have the same processing time, it can be solved in polynomial time by a dynamic programming approach.
- 一般社団法人日本機械学会の論文
- 2009-07-04
著者
-
KARUNO Yoshiyuki
Department of Mechanical and System Engineering, Kyoto Institute of Technology
-
NAGAMOCHI Hiroshi
Department of Applied Mathematics and Physics, Kyoto University
-
Nagamochi Hiroshi
Department Of Applied Mathematics And Physics Graduate School Of Informatics Kyoto University
-
Nagamochi Hiroshi
Department Of Applied Mathematics And Physics Kyoto University
-
Karuno Yoshiyuki
Department Of Mechanical And System Engineering Faculty Of Engineering And Design Kyoto Institute Of
-
YAMASHITA Kougaku
Department of Mechanical and System Engineering Kyoto Institute of Technology
-
CHIBA Eishi
Department of Industrial and System Engineering Hosei University
-
Nagamochi Hiroshi
Department Of Applied Mathematics And Physics Graduate School Of Engineering Kyoto University
関連論文
- Optimization Problems and Algorithms in Double-layered Food Packing Systems
- CONSTRUCTING CACTUS REPRESENTATION FOR ALL MINIMUM CUTS IN AN UNDIRECTED NETWORK
- Generation of Symmetric and Asymmetric Biconnected Rooted Outerplanar Graphs
- Generation of Symmetric and Asymmetric Biconnected Rooted Triangulated Planar Graphs
- 1A1 COMBINATORIAL OPTIMIZATION PROBLEMS AND ALGORITHMS IN DOUBLE-LAYERED FOOD PACKING EQUIPMENTS
- 6B2 AN ITERATED LOCAL SEARCH ALGORITHM FOR THE MULTI-RESOURCE GENERALIZED ASSIGNMENT PROBLEM WITH FLEXIBLE ASSIGNMENT COST(Technical session 6B: General model for scheduling and assignment problem)
- Constructing a Cactus for Minimum Cuts of a Graph in ★(mn+n^2logn) Time and ★(m) Space (Special Issue on Selected Papers from LA Symposium)
- A Clustering Method for Analysis of Sequence Similarity Networks of Proteins Using Maximal Components of Graphs
- Computing a Minimum Cut in a Graph with Dynamic Edges Incident to a Designated Vertex(Graph Algorithms,Foundations of Computer Science)
- A Simple Proof of a Minimum Cut Algorithm and Its Applications
- Approximating a Generalization of Metric TSP(Graph Algorithms,Foundations of Computer Science)
- Approximation to the Minimum Cost Edge Installation Problem
- BI-CRITERIA FOOD PACKING BY DYNAMIC PROGRAMMING(the 50th Anniversary of the Operations Research Society of Japan)
- APPROXIMATING MINIMUM COST MULTIGRAPHS OF SPECIFIED EDGE-CONNECTIVITY UNDER DEGREE BOUNDS(the 50th Anniversary of the Operations Research Society of Japan)
- Performance Analysis of a Collision Detection Algorithm of Spheres Based on Slab Partitioning
- 4C1 SCHEDULING MULTIPROCESSOR TASKS WITH PROMPT SERVICE CONSTRAINTS ON ALIGNED IDENTICAL PROCESSORS
- Worst Case Analysis for Pickup and Delivery Problems with Transfer
- Orthogonal Drawings for Plane Graphs with Specified Face Areas(Theory of Computer Science and Its Applications)
- 1A2 AN IMPROVED APPROXIMATION ALGORITHM FOR CAPACITATED MULTICAST ROUTINGS IN NETWORKS(Technical session 1A: Combinatorial optimization)
- 5B2 AN ITERATED LOCAL SEARCH ALGORITHM BASED ON NONLINEAR PROGRAMMING FOR THE IRREGULAR STRIP PACKING PROBLEM(Technical session 5B: Packing problem)
- 2B1 A DP-BASED HEURISTIC ALGORITHM FOR THE DISCRETE SPLIT DELIVERY VEHICLE ROUTING PROBLEM(Technical session 2B: Vehicle scheduling and communication)
- A Fast Edge-Splitting Algorithm in Edge-Weighted Graphs(Discrete Mathematics and Its Applications)
- A Note on Approximating the Survivable Network Design Problem in Hypergraphs(Special Issue on Selected Papers from LA Symposium)
- Approximation Algorithms for Multicast Routings in a Network with Multi-Sources(Discrete Mathematics and Its Applications)
- B34 Hardness of Approximating Transshipment Problems with Permutable Transit Vectors(Advanced machining technology)
- 3C3 A TRANSSHIPMENT PROBLEM WITH A PREMUTABLE TRANSIT VECTOR
- 2-B-5 A HEURISTIC ALGORITHM FOR OPERATING A PERMUTATIONAL CIRCULATION-TYPE VEHICLE ROUTING SYSTEM
- 1B2 AN APPLICATION OF THE GENETIC ALGORITHM TO A TWO-MACHINE ROBOTIC FLOW-SHOP SCHEDULING PROBLEM(Technical session 1B : Meta Heuristics)
- A Fast Algorithm for Cactus Representations of Minimum Cuts
- Solving the Single-Vehicle Scheduling Problems for All Home Locations under Depth-First Routing on a Tree (Special Section on Discrete Mathematics and Its Applications)
- VEHICLE SCHEDULING ON A TREE TO MINIMIZE MAXIMUM LATENESS
- Approximability of the Minimum Maximal Matching Problem in Planar Graphs(Graphs and Networks)
- An Approximation of the Minimum Vertex Cover in a Graph
- Approximating the Minmax Rooted-Subtree Cover Problem(Graphs and Networks)
- A Clustering Method for Analysis of Sequence Similarity Networks of Proteins Using Maximal Components of Graphs
- A Clustering Method for Analysis of Sequence Similarity Networks of Proteins Using Maximal Components of Graphs
- A Dynamic Programming Based Improvement Heuristic for a Repetitive Routing Problem of Grasp-and-Delivery Robots
- CONSTANT FACTOR APPROXIMATION ALGORITHMS FOR REPETITIVE ROUTING PROBLEMS OF GRASP-AND-DELIVERY ROBOTS IN PRODUCTION OF PRINTED CIRCUIT BOARDS
- Collision Probability in an In-Line Equipment Model under Erlang Distribution
- Dynamic Programming Algorithms with Data Rounding for Combinatorial Food Packing Problems
- Better Approximation Algorithms for Grasp-and-Delivery Robot Routing Problems
- 4A2 NETWORK TRANSFORMATION HEURISTICS FOR MULTI-STORY STORAGE RACK PROBLEMS(Technical session 4A: Material handling system)
- 5B1 IMPROVED IMPLEMENTATION OF AN APPROXIMATION ALGORITHM WITH FACTOR TWO FOR A CYCLIC ROUTING PROBLEM OF GRASP-AND-DELIVERY ROBOTS(Technical session 5B: Routing problems)
- 5B3 APPROXIMATING CYCLIC ROUTING PROBLEMS OF GRASP-AND-DELIVERY ROBOTS IN PRODUCTION OF PRINTED CIRCUIT BOARDS(Technical session 5B: Routing problems)
- Scheduling Capacitated One-Way Vehicles on Paths with Deadlines
- A DP-based Heuristic Algorithm for the Discrete Split Delivery Vehicle Routing Problem