Allocating work in process in a multiple-product CONWIP system with lost sales

Date
2005-01-01
Authors
Ryan, Sarah
Vorasayan, Jumpol
Ryan, Sarah
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Abstract

To operate a multiple-product manufacturing system under a CONWIP control policy, one must decide how to assign kanbans to products. With a fixed total number of kanbans in a competitive environment, the goal is to determine their allocation to product types in order to minimize lost sales equitably. In particular, we consider systems in which the products may make multiple visits to the same station with a different processing time distribution on each repeat visit. With a fixed number of kanbans dedicated to each product, the system is modeled as a multiple-chain multiple-class closed queuing network. A nonlinear program simultaneously provides an approximate performance evaluation and optimizes the allocation of kanbans to product types. In numerical examples, the allocations identified are similar to those obtained by exhaustive enumeration with simulation, but frequently differ significantly from a naïve allocation according to demand rates. A variant of the model that minimizes the total work-in-process to achieve specified throughput targets yields results similar to a previous heuristic method.

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<p>The Version of Record of this manuscript has been published and is available in International Journal of Production Research 2005, <a href="http://dx.doi.org/10.1080/0020754042000268875" target="_blank">http://www.tandfonline.com/10.1080/0020754042000268875</a>. Posted with permission.</p>
Keywords
CONWIP, lost sales, multiclass closed queuing network, nonlinear program
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