工业工程
工業工程
공업공정
Industrial Engineering Journal
2013年
5期
62~67
,共null页
生产服务系统 马尔科夫链 不耐烦行为 优先权
生產服務繫統 馬爾科伕鏈 不耐煩行為 優先權
생산복무계통 마이과부련 불내번행위 우선권
production-service system ; Markov chain ; impatient customer ; priority
建立了一个基本生产服务系统,考虑两种不同优先级顾客的不耐烦行为,同时考虑服务能力可调节。建立了系统的Markov模型,给出了系统的稳态分布,获得了系统的重要性能指标与利润函数,同时设计搜索算法获得了系统的最优库存水平与最优服务能力控制阈值,并得出基本库存水平、额外服务能力、顾客到达速率对系统净利润的影响关系。
建立瞭一箇基本生產服務繫統,攷慮兩種不同優先級顧客的不耐煩行為,同時攷慮服務能力可調節。建立瞭繫統的Markov模型,給齣瞭繫統的穩態分佈,穫得瞭繫統的重要性能指標與利潤函數,同時設計搜索算法穫得瞭繫統的最優庫存水平與最優服務能力控製閾值,併得齣基本庫存水平、額外服務能力、顧客到達速率對繫統淨利潤的影響關繫。
건립료일개기본생산복무계통,고필량충불동우선급고객적불내번행위,동시고필복무능력가조절。건립료계통적Markov모형,급출료계통적은태분포,획득료계통적중요성능지표여리윤함수,동시설계수색산법획득료계통적최우고존수평여최우복무능력공제역치,병득출기본고존수평、액외복무능력、고객도체속솔대계통정리윤적영향관계。
In this paper, a basic production-service system with 2-class customers is discussed. A Markov model is constructed to describe the system. Based on the model, the steady-state distribution is calculat- ed. A searching algorithm is proposed to find the optimal basic stock level and service capacity threshold. By numerical analysis, it shows that, by improving basic stock level of the inventory, the queue length of high priority customer is dramatically decreased. Also, in order to get higher profit, additional service ca- pacity should be open as early as possible, though the additional service cost is relatively high. To get more net profit, when customer arrival rate is greater than the production and service rate, the system should limit the arrival rate of high priority customer, or otherwise limit the arrival rate of low priority cus- tomer.