Download A Theory of Supply Chains by Prof. Carlos F. Daganzo (auth.) PDF

By Prof. Carlos F. Daganzo (auth.)

ISBN-10: 354000288X

ISBN-13: 9783540002888

ISBN-10: 364218152X

ISBN-13: 9783642181528

This paintings used to be prompted via a remark made by means of a former pupil (Prof. Alan Erera of Georgia Tech) in reference to a list stabil­ ity online game he was once going to play in a single of his logistics periods. This was once the well known "beer-game" that's usually performed in company colleges to illus­ trate the "bullwhip" impression in offer chains. Al had stated to me that he didn't have to inform his scholars how you can reorder alternative elements from the opposite participants of the availability chain simply because he knew from event that the order sizes the gamers may generate because the video game stepped forward might develop into chaotic anyways. on the grounds that I had now not performed the beer video game, his asser­ tion used to be exciting to me. Why could such an unstructured online game regularly result in a similar bad impression? Did it have whatever to do with psy­ chology? what's it that gamers did to generate instabilities? I posed those to other folks yet couldn't get thoroughly passable an­ questions swers. therefore, the bullwhip secret remained, at the least in my brain. in view that stock chains are "conservative" structures analogous to a site visitors flow, and because site visitors stream types convey related results (the instability of car platoons and of convinced numerical tools being nota­ ble examples)' I suspected that site visitors move idea could shed a few gentle at the puzzle.

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Extra resources for A Theory of Supply Chains

Example text

1 that the inventories and orders of these policies are uniformly bounded, if the customer orders are non-negative. Thus, any such policy is in L. For these policies, however, a steady input with order size Q = (S-s)/2 yields output orders of alternating sizes, and S-s. 1) holds. Hence, order point policies are not in S. 2 (Policy in {S- L}): Some non-linear, order-based policies belong to this category. g. 2. 1. Venn diagram for autoyomous policies: (a) nonlinear case; (b) linear case. 38 4. 9d) with B = 1, if the coefficient P is allowed to take the values or 1, depending on the magnitude of (Qi-l,n-l - Qi-l,n-2).

2b, point "P" lies on or above a ray with slope ~ from the origin. A policy with reliable steady states for the range of q's that can occur (0 ::; q ::; qmax) is said to have a reliable K-function; this happens if the K-curve lies above the ray with slope ~. Of course, it still remains to be determined whether a reliable K-function implies a reliable operation in the dynamic case. 4. , chains where suppliers use the same policy: Fj == F, ~ == H. Stability and monotonicity are desirable properties, but separate issues.

13) and then linearize it, the general result is of the form: ~-l,n+l = y '+a~-l,n +b-A~,n+A+bl-A~,n+A-l+'" (n integer;) = 1, ... 17a) Taking first forward differences in the above, we find, These equations correspond to a stencil that is a mirror image of the pullstencil shown in Fig. 2b. Interchanging) and )-1 is the same as reversing the sign of the supplier number variable. 5) after changing the sign of) and replacing the vector of coefficients (a, b) for (a, (3). 7) continues to hold. The sign reversal in supplier number, however, changes inventories into "negative" queues.

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