Scheduling Algorithms for Procrastinators Export

@misc{citeulike:1595770, abstract = {This paper presents scheduling algorithms for procrastinators, where the speed that a procrastinator executes a job increases as the due date approaches. We give optimal off-line scheduling policies for linearly increasing speed functions. We then explain the computational/numerical issues involved in implementing this policy. We next explore the online setting, showing that there exist adversaries that force any online scheduling policy to miss due dates. This impossibility result motivates the problem of minimizing the maximum interval stretch of any job; the interval stretch of a job is the job's flow time divided by the job's due date minus release time. We show that several common scheduling strategies, including the "hit-the-highest-nail" strategy beloved by procrastinators, have arbitrarily large maximum interval stretch. Then we give the "thrashing" scheduling policy and show that it is a \Theta(1) approximation algorithm for the maximum interval stretch.}, archivePrefix = {arXiv}, author = {Bender, Michael A. and Clifford, Raphael and Tsichlas, Kostas}, citeulike-article-id = {1595770}, citeulike-linkout-0 = {http://arxiv.org/abs/cs/0606067}, citeulike-linkout-1 = {http://arxiv.org/pdf/cs/0606067}, day = {14}, eprint = {cs/0606067}, keywords = {algorithm, algorithms, compsci, cs, different, interesting, math, procrastination, scheduling}, month = {Aug}, posted-at = {2007-08-27 21:44:47}, priority = {0}, title = {Scheduling Algorithms for Procrastinators}, url = {http://arxiv.org/abs/cs/0606067}, year = {2007} }

TY - ELEC ID - citeulike:1595770 L3 - citeulike-article-id:1595770 N2 - This paper presents scheduling algorithms for procrastinators, where the speed that a procrastinator executes a job increases as the due date approaches. We give optimal off-line scheduling policies for linearly increasing speed functions. We then explain the computational/numerical issues involved in implementing this policy. We next explore the online setting, showing that there exist adversaries that force any online scheduling policy to miss due dates. This impossibility result motivates the problem of minimizing the maximum interval stretch of any job; the interval stretch of a job is the job's flow time divided by the job's due date minus release time. We show that several common scheduling strategies, including the "hit-the-highest-nail" strategy beloved by procrastinators, have arbitrarily large maximum interval stretch. Then we give the "thrashing" scheduling policy and show that it is a \Theta(1) approximation algorithm for the maximum interval stretch. TI - Scheduling Algorithms for Procrastinators KW - algorithm KW - algorithms KW - compsci KW - cs KW - different KW - interesting KW - math KW - procrastination KW - scheduling AU - Bender, Michael AU - Clifford, Raphael AU - Tsichlas, Kostas PY - 2007/Aug/14/ UR - http://arxiv.org/abs/cs/0606067 ER -