工业工程
工業工程
공업공정
Industrial Engineering Journal
2014年
2期
23~30
,共null页
生产缓冲 生产急件 关键设备 GERT模型
生產緩遲 生產急件 關鍵設備 GERT模型
생산완충 생산급건 관건설비 GERT모형
production buffering ; urgent jobs ; critical equipment; GERT model
为了降低非预期生产急件对关键设备正常生产活动的冲击,保证生产计划的稳定性,研究了关键设备的应急生产缓冲设计问题,为生产管理者合理地确定预留产能提供了理论依据。结合排队理论,分析了生产急件到达和处理活动,证明其属于一类负指数随机过程,揭示了生产状态的动态转移规律和实现条件;将关键设备组的急件加工过程描述为一类GERT(graphicevaluationandreviewtechnology)模型,测算状态转移过程的状态转移参数和矩母函数;结合梅森公式,设计系统状态稳态概率的求解方法,分析关键设备生产缓冲与稳态概率之间的关系,探寻其定量化表征。通过某研究院加工中心设备组的案例研究,发现关键设备组因急件冲突导致月生产计划变更的情况平均降低14.6%,较好地控制生产计划与调度工作的不良波动,从而验证了模型和方法的可行性和适用性。
為瞭降低非預期生產急件對關鍵設備正常生產活動的遲擊,保證生產計劃的穩定性,研究瞭關鍵設備的應急生產緩遲設計問題,為生產管理者閤理地確定預留產能提供瞭理論依據。結閤排隊理論,分析瞭生產急件到達和處理活動,證明其屬于一類負指數隨機過程,揭示瞭生產狀態的動態轉移規律和實現條件;將關鍵設備組的急件加工過程描述為一類GERT(graphicevaluationandreviewtechnology)模型,測算狀態轉移過程的狀態轉移參數和矩母函數;結閤梅森公式,設計繫統狀態穩態概率的求解方法,分析關鍵設備生產緩遲與穩態概率之間的關繫,探尋其定量化錶徵。通過某研究院加工中心設備組的案例研究,髮現關鍵設備組因急件遲突導緻月生產計劃變更的情況平均降低14.6%,較好地控製生產計劃與調度工作的不良波動,從而驗證瞭模型和方法的可行性和適用性。
위료강저비예기생산급건대관건설비정상생산활동적충격,보증생산계화적은정성,연구료관건설비적응급생산완충설계문제,위생산관리자합리지학정예류산능제공료이론의거。결합배대이론,분석료생산급건도체화처리활동,증명기속우일류부지수수궤과정,게시료생산상태적동태전이규률화실현조건;장관건설비조적급건가공과정묘술위일류GERT(graphicevaluationandreviewtechnology)모형,측산상태전이과정적상태전이삼수화구모함수;결합매삼공식,설계계통상태은태개솔적구해방법,분석관건설비생산완충여은태개솔지간적관계,탐심기정양화표정。통과모연구원가공중심설비조적안례연구,발현관건설비조인급건충돌도치월생산계화변경적정황평균강저14.6%,교호지공제생산계화여조도공작적불량파동,종이험증료모형화방법적가행성화괄용성。
In order to reduce the negative fluctuation of unexpected urgent jobs on the normal production of critical equipment and assure the consistency of production schedule, a novel method for determining the production buffering of critical equipment in a manufacturing system containing unexpected urgent jobs is developed. The production manager can confirm the proper reserved capabilities according to the research result. Specifically, the procedures of urgent job arrival and manufacturing are discussed based on the queuing theory with a negative exponential distribution, and the transferring rules and realistic conditions are revealed. Additionally, a kind of graphic evaluation and review technology (GERT) model is utilized to describe tile operation of urgent jobs in critical equipment and the transfer between adjacent nodes is studied. In doing so, the node transferring parameters and the moment generating functions are calculated. Furthermore, by the Mason rule, the probabilities of the stable states are determined to provide support for obtaining the buffering capacity of critical equipment. Finally, a group of machining centers in a research institution is used as a case study. It is shown that the average reduction of adjusted situations of monthly production plan of critical equipment group reaches to 14.6%. Thus, the fluctuation of production sched- ule can be effectively controlled and the feasibility and practicality of the proposed method are verified.