| Article ID: | iaor19961985 |
| Country: | United States |
| Volume: | 1 |
| Issue: | 3 |
| Start Page Number: | 223 |
| End Page Number: | 233 |
| Publication Date: | Dec 1995 |
| Journal: | International Journal of Operations and Quantitative Management |
| Authors: | Gopalan M.N., Kumar U. Dinesh |
| Keywords: | make-to-order |
In this paper, a merge production system with two parallel stations in the first stage followed by a single station in the second stage is analysed to study the transient and steady-state behaviour of the system. The processing times on all the machines in the system follow an arbitrary distribution. A mathematical model is developed using semi-regenerative phenomena and systems of convolution integral equations satisfied by various state probabilities corresponding to different initial conditions are obtained. An iterative numerical technique is used to solve the system of integral equations obtained.