Parallel Solution to the Dominating Set Problem by Tile Assembly System
نویسندگان
چکیده
The dominating set problem is a well known NP hard problem. It means that as the instance size grows, they quickly become impossible to solve on traditional digital computers. Tile assembly model has been demonstrated as a highly distributed parallel model of computation. Algorithmic tile assembly has been proved to be Turing-universal. This paper proposes a tile assembly system for the dominating set problem. It only needs Θ(mn) tile types to solve such a complex problem in the time Θ(m+n) where n and m are the number of vertices and edges of the given graph, respectively.
منابع مشابه
A multi-objective genetic algorithm (MOGA) for hybrid flow shop scheduling problem with assembly operation
Scheduling for a two-stage production system is one of the most common problems in production management. In this production system, a number of products are produced and each product is assembled from a set of parts. The parts are produced in the first stage that is a fabrication stage and then they are assembled in the second stage that usually is an assembly stage. In this article, the first...
متن کاملBi-objective Optimization for Just in Time Scheduling: Application to the Two-Stage Assembly Flow Shop Problem
This paper considers a two-stage assembly flow shop problem (TAFSP) where m machines are in the first stage and an assembly machine is in the second stage. The objective is to minimize a weighted sum of earliness and tardiness time for n available jobs. JIT seeks to identify and eliminate waste components including over production, waiting time, transportation, inventory, movement and defective...
متن کاملNew Formulation and Solution in PCB Assembly Systems with Parallel Batch processors
This paper considers the scheduling problem of parallel batch processing machines with non-identical job size and processing time. In this paper, a new mathematical model with ready time and batch size constraints is presented to formulate the problem mathematically, in which simultaneous reduction of the makespan and earliness-tardiness is the objective function. In recent years, the nature-in...
متن کاملAssembly line balancing to minimize balancing loss and system loss
Assembly Line production is one of the widely used basic principles in production system. The problem of Assembly Line Balancing deals with the distribution of activities among the workstations so that there will be maximum utilization of human resources and facilities without disturbing the work sequence. Research works reported in the literature mainly deals with minimization of idle time i.e...
متن کاملHybrid algorithms for Job shop Scheduling Problem with Lot streaming and A Parallel Assembly Stage
In this paper, a Job shop scheduling problem with a parallel assembly stage and Lot Streaming (LS) is considered for the first time in both machining and assembly stages. Lot Streaming technique is a process of splitting jobs into smaller sub-jobs such that successive operations can be overlapped. Hence, to solve job shop scheduling problem with a parallel assembly stage and lot streaming, deci...
متن کامل