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ÇѱÛÁ¦¸ñ(Korean Title) |
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¿µ¹®Á¦¸ñ(English Title) |
Scheduling Selfish Agents on Machines with Speed Functions |
ÀúÀÚ(Author) |
±èÀçÈÆ
Jae-Hoon Kim
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¿ø¹®¼ö·Ïó(Citation) |
VOL 35 NO. 09 PP. 0417 ~ 0420 (2008. 10) |
Çѱ۳»¿ë (Korean Abstract) |
¿ì¸®´Â À̱âÀûÀÌ°í ºñÇùÁ¶ÀûÀÎ »ç¿ëÀÚµéÀÌ ÀÌ¿ëÇÏ´Â ½Ã½ºÅÛÀÇ ¼º´ÉÀ» ÃÖÀûÈÇÏ´Â ¹®Á¦¸¦ ´Ù·é´Ù. »ç¿ëÀÚµéÀÌ ¿ä±¸ÇÏ´Â ÀÛ¾÷µéÀº °¢°¢ÀÇ ¼ÓµµÇÔ¼ö¸¦ °¡Áö°í ÀÖ´Â ±â°èµé¿¡ ½ºÄÉÁÙ µÈ´Ù. ¿©±â¼ ¼ÓµµÇÔ¼ö´Â ±â°è¿¡ ÇÒ´çµÈ ÀÛ¾÷·®¿¡ ¹Ýºñ·ÊÇÑ´Ù. ½Ã½ºÅÛÀÇ ¼º´ÉÀº ±â°èµéÀÌ ÇÒ´çµÈ ÀÛ¾÷µéÀÇ ¼öÇàÀ» ³¡³»´Â ¿Ï·á½Ã°£ÀÇ ÃÖ´ë°ªÀ¸·Î Æò°¡ÇÑ´Ù. À̱âÀûÀÎ »ç¿ëÀÚµéÀº ÀÚ½ÅÀÇ ÀÛ¾÷ÀÌ ¼öÇàµÉ ±â°è¸¦ °í¸¦ ¼ö ÀÖ°í ÇöÀç °¡Àå ºü¸¥ ±â°è¸¦ °í¸¥´Ù. ±×·¯³ª ÀÌ·¯ÇÑ ½ºÄÉÁÙÀº ½Ã½ºÅÛÀÇ ¼º´ÉÀ» ÃÖÀûÈÇÏÁö ¸øÇÑ´Ù. »ç¿ëÀÚµéÀÇ À̱âÀûÀÎ ÇൿÀ¸·Î ¹ß»ýµÇ´Â ½Ã½ºÅÛÀÇ ¼º´É ÀúÇϸ¦ ÃøÁ¤ÇÏ´Â ±âÁØÀ¸·Î¼ Price of Anarchy(PoA)°¡ ¼Ò°³µÇ¾ú´Ù[1]. ÀÌ°ÍÀº ³»½¬ ÆòÇüÀÇ ºñ¿ë°ú ÃÖÀûÀÇ ºñ¿ëÀÇ ºñÀ²·Î Á¤ÀǵȴÙ. ÀÌ ³í¹®¿¡¼ ¿ì¸®´Â À§ ½ºÄÉÁÙ¸µ ¹®Á¦¿¡ ´ëÇÑ PoA¸¦ Æò°¡ÇÑ´Ù.
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¿µ¹®³»¿ë (English Abstract) |
We consider the problem of optimizing the performance of a system shared by selfish non-cooperative users. In this problem, small jobs which the users request should be scheduled on a set of shared machines with their speed functions, each of which dependson the amount of jobs allocated on a machine. The performance of the system is measured by the maximum of the completion times when the machines complete the jobs allocated on them.
The selfish users can choose a machine on which their jobs are executed, and they choose the fastest machine. But it typically results in suboptimal system performance. The Price of Anarchy(PoA) was introduced as a measure of the performance degradation due to the user's selfish behavior[1]. The PoA is the worst-case ratio of the cost of a Nash equilibrium to the optimal cost. In this paper, we estimate the PoA for the above scheduling problem.
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Å°¿öµå(Keyword) |
½ºÄÉÁÙ¸µ
À̱âÀûÀÎ »ç¿ëÀÚ
³»½¬ ÆòÇü
Price of Anarchy
scheduling
selfish users
Nash equilibrium
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ÆÄÀÏ÷ºÎ |
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