Asymptotic Stability of Gaver’s Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations

• 作者: Abdukerim Haji
• 来源期刊: 世界工程和技术(英文)
• 学科: 数学
• 关键词: Gaver’s Parallel Pystem C0-SEMIGROUP IRREDUCIBILITY ASYMPTOTIC Stability
• 年，卷（期）: 2015,（3）
• 页码范围: 277-283
• 页数: 7页
• 分类号: O1

摘要

We investigate Gaver’s parallel system attended by a cold standby unit and a repairman with multiple vacations. By analysing the spectral distribution of the system operator and taking into account the irreducibility of the semigroup generated by the system operator we prove that the dynamic solution converges strongly to the steady state solution. Thus we obtain asymptotic stability of the dynamic solution of the system.