OPTIMAL DESIGN OF MULTISERVER QUEUEING SYSTEMS WITH DIFFERENT WAITING COSTS FOR TIME IN QUEUE AND TIME IN SERVICE.
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作者:
Jo, Kyung Y.
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Systems & Network Analysis, Directorate, Reston, VA, USA, Systems & Network Analysis Directorate, Reston, VA, USASystems & Network Analysis, Directorate, Reston, VA, USA, Systems & Network Analysis Directorate, Reston, VA, USA
Jo, Kyung Y.
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机构:
[1] Systems & Network Analysis, Directorate, Reston, VA, USA, Systems & Network Analysis Directorate, Reston, VA, USA
MATHEMATICAL MODELS - Optimization - SYSTEMS SCIENCE AND CYBERNETICS - Optimal Systems;
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摘要:
The optimal number of servers and service rate are characterized for multiserver systems in which waiting times in service and in queue have different costs. It is shown that the optimal choice of the service rate and the number of servers depends on the ratio of the in-service waiting cost coefficient to the in-queue waiting cost coefficient. For M/M/c systems, a single server is optimal if the cost-coefficient ratio exceeds a threshold value of one-half. For GI/M/c and M/G/c systems, the threshold ratio increases as the variation of the interarrival or service time increases.
机构:
Korea Univ, Dept Math, 145 Anam Ro, Seoul 02841, South KoreaKorea Univ, Dept Math, 145 Anam Ro, Seoul 02841, South Korea
Kim, Bara
Kim, Jeongsim
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Chungbuk Natl Univ, Dept Math Educ, 1 Chungdae Ro, Cheongju 28644, Chungbuk, South KoreaKorea Univ, Dept Math, 145 Anam Ro, Seoul 02841, South Korea
机构:
Madrid Univ Carlos III, Stat Dept, Avda Univ 30, Madrid 28911, SpainMadrid Univ Carlos III, Stat Dept, Avda Univ 30, Madrid 28911, Spain
D'Auria, Bernardo
Adan, Ivo J. B. F.
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Tech Univ Eindhoven, Ind Engn Dept, Postbus 513, NL-5600 MB Eindhoven, NetherlandsMadrid Univ Carlos III, Stat Dept, Avda Univ 30, Madrid 28911, Spain
Adan, Ivo J. B. F.
Bekker, Rene
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Vrije Univ Amsterdam, Dept Math, Boelelaan 1105, NL-1081 HV Amsterdam, NetherlandsMadrid Univ Carlos III, Stat Dept, Avda Univ 30, Madrid 28911, Spain
Bekker, Rene
Kulkarni, Vidyadhar
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Univ N Carolina, Dept Stat & Operat Res, Chapel Hill, NC 27599 USAMadrid Univ Carlos III, Stat Dept, Avda Univ 30, Madrid 28911, Spain