The given figure for question 1 represents the precedence diagram for an assembly line. The line is being used to produce three different models of a product; model X, Y, and Z. The process for making all models consists of same tasks with different times. The given table shows the task time in minutes for tjj for i = a, b, c, …, h; j = X,Y,Z.
Suppose the daily demand for X,Y,Z are 30, 15, and 60 respectively, and assume a 480-minute working day. The line efficiency is assumed at 85%. If the path way of a to b and then to h is adopted then we can get the requiered 480 minute working day at an effeciency of 85 percent. Also there can be more ways for solving this but I think it the least possible distance to be covered so as to meet the requierement.
In question 2 we are going to discuss the design of a single-stage Kanban-controlled production line that produces a single-product type is considered as the problem of this work. This Kanban station contains WIP parts that are currently being processed. The raw material enters the workstation after receiving them from the suppliers, and the WIP, as flows through the line. The process of transporting WIP continues until the finished product departs the workstation and then delivered to the customer in time. The output rate of the workstation is generally dictated by the demand of the final products. An important executive concern is how to control and synchronize the flow of materials among the line; so as to create a consistent integrated shop floor control system that successfully meets the customer demand just-in-time (JIT).
Several researches have contributed to the development of many approaches for solving such dilemma, among which the Kanban control policy that was invented in Toyota in the 1970s, and has since been widely used in industry Y. Monden, Toyota Production System: Practical Approach to Production Management, Industrial Engineering and Management Press, Narcross, GA (1983).. Flexible Kanban system is discussed by . The CONWIP control policy is described and analyzed by Gstettner et al. and Wen et al. . The base stock control policy is also described and analyzed by Scott et al. . The generalized Kanban control system is introduced by Buzacott . The generic Kanban systems for dynamic environment is modified by Chang et al. The extended Kanban control system is proposed and discussed by Claudine et al., and many others. A comparison of these control policies as well as other policies can be found in Liberopoulos and Dallery and Zhao et al. . Comparisons of the performance of these policies indicate that no one strategy completely dominates the other. Deep exploration of the tradeoffs using analytical models could help differentiate regions where each policy dominates over the other. Ananth et al. stated that queuing models seem to be the most useful tool for such analysis. They modeled Kanban policy as a closed cyclic queuing ...