An Optimal On Line Scheduling Algorithm for Overloaded Real Time Systems

Cover An Optimal On Line Scheduling Algorithm for Overloaded Real Time Systems
An Optimal On Line Scheduling Algorithm for Overloaded Real Time Systems
Gilad Koren
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This means that the index of the last deadline after which the tasks has zero value is [log2{imp{Ti))\ - 1 = [/off2(^)J - 1- For notational convenience any task T, will have associated descending tasks denoted by rpO rpl rp2 rp\log2(imp(Ti))\-l where the release times and the computation times of all these tasks are equal to the release time and the computation time of T, . Tf has a firm deadline at 'i) '" section 5 42 • Every other task, T, where j L — e ■ V, , by assumption 3. 2 c, ,mar X -... e • (1 + y/k) • achievedvalue(/), by lemma 5. 4 ^ (l+>/fc) achieved value (/) — k The "loss" from scheduling T. During BUSY is at least k ■ (i+>/fc)achievedvalue(/) ^j^^ value obtained by scheduling T, is at most (1 + \/k) ■ achievedvalue(/) (lemma 5. 4). Hence the net gain is less than or equal to zero.

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