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Analytical approximations to predict performance measures of manufacturing systems with general distributions, job failures and parallel processing

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  • Damodaran, Purushothaman
  • Hulett, Maria

Abstract

Parallel processing is prevalent in many manufacturing and service systems (i.e. some components may have to wait for other components before the assembly can begin). It is also common to observe manufacturing systems that deal with multiple products, resources shared between different products, and circulation due to random part failures. An example of such a system configuration is observed at a facility equipped to assemble and test web servers. The primary objective of this research was to develop analytical approximations to predict performance measures of a system with the above characteristics and evaluate its accuracy. Manufacturing systems with general distributions, multiple products, job circulation due to failures, resource sharing, and a fork and join system (to model parallel processing of some assembly operations) were studied using the parametric decomposition approach. The different work centers (or stations) in the manufacturing system is modeled as a network of queues and the parametric decomposition approach is applied to decompose the network of queues into individual queues to estimate the performance measure of the system. Existing analytical formulations were modified and appropriate correction terms were added to the approximations to bridge the gap in the error between the analytical approximation and the simulation models. Random instances were generated and the flow times from the approximations and simulation models were compared. The experimental study conducted indicates that the analytical approximations along with the correction terms can serve as a good estimate for the flow times of the manufacturing systems with the above characteristics.

Suggested Citation

  • Damodaran, Purushothaman & Hulett, Maria, 2012. "Analytical approximations to predict performance measures of manufacturing systems with general distributions, job failures and parallel processing," European Journal of Operational Research, Elsevier, vol. 221(1), pages 74-86.
    • Handle: RePEc:eee:ejores:v:221:y:2012:i:1:p:74-86
    DOI: 10.1016/j.ejor.2012.03.013
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    References listed on IDEAS

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    1. Hulett, Maria & Damodaran, Purushothaman, 2011. "Analytical approximations to predict performance measures of markovian type manufacturing systems with job failures and parallel processing," European Journal of Operational Research, Elsevier, vol. 212(1), pages 89-99, July.
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    3. Pradhan, Salil & Damodaran, Purushothaman, 2009. "Performance characterization of complex manufacturing systems with general distributions and job failures," European Journal of Operational Research, Elsevier, vol. 197(2), pages 588-598, September.
    4. Bitran, G. R. & Sarkar, D., 1994. "Throughput analysis in manufacturing networks," European Journal of Operational Research, Elsevier, vol. 74(3), pages 448-465, May.
    5. Pradhan, Salil & Damodaran, Purushothaman & Srihari, Krishnaswami, 2008. "Predicting performance measures for Markovian type of manufacturing systems with product failures," European Journal of Operational Research, Elsevier, vol. 184(2), pages 725-744, January.
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