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Job times must be independent of the job sequence. All jobs must be processed in the first work center before going through the second work center. All jobs are equally prioritised. Johnson's rule is as follows: List the jobs and their times at each work center. Select the job with the shortest activity time.
The time that machine i needs in order to process job j is denoted by p i,j. In the general case, the times p i,j are unrelated, and any matrix of positive processing times is possible. In the specific variant called uniform machine scheduling , some machines are uniformly faster than others.
Shortest job next being executed. Shortest job next (SJN), also known as shortest job first (SJF) or shortest process next (SPN), is a scheduling policy that selects for execution the waiting process with the smallest execution time. [1] SJN is a non-preemptive algorithm. Shortest remaining time is a preemptive variant of SJN.
Flow Shop Ordonnancement. Flow-shop scheduling is an optimization problem in computer science and operations research.It is a variant of optimal job scheduling.In a general job-scheduling problem, we are given n jobs J 1, J 2, ..., J n of varying processing times, which need to be scheduled on m machines with varying processing power, while trying to minimize the makespan – the total length ...
Shortest remaining processing time The next job to serve is the one with the smallest remaining processing requirement. [26] Service facility. Single server: customers line up and there is only one server; Several parallel servers (single queue): customers line up and there are several servers
J3| = | – a 3-machine job shop problem with unit processing times, where the goal is to minimize the maximum completion time. P ∣ size j ∣ C max {\displaystyle P\mid {\text{size}}_{j}\mid C_{\max }} – assigning jobs to m {\displaystyle m} parallel identical machines, where each job comes with a number of machines on which it must be ...
Order the jobs by descending order of their processing-time, such that the job with the longest processing time is first. Schedule each job in this sequence into a machine in which the current load (= total processing-time of scheduled jobs) is smallest. Step 2 of the algorithm is essentially the list-scheduling (LS) algorithm. The difference ...
Here is the idle time of machine i, C is the makespan and m is the number of machines. Notice that with the above definition, scheduling efficiency is simply the makespan normalized to the number of machines and the total processing time.