Abstract

Since Industrial Revolution and the division of labor, the wealth of nations is more and more increasing. Although the smaller division of labor is better in GDP, but mass production with larger lot (quantity) is better since Fordism and the division of quantity (lot-size Q, 0Q∞) is well-known to be worse in manufacturing, for the sake of the larger set-up with penalty. This paper presents the progressive discipline for the contradiction on modern economic growth in the lot-sizing scheme. The theory would govern over from mass-production (larger Q), mid-lot (EOQ) and disparities (smaller Q), toward next to sharing equilibrium (0QQ < 1 could be obtained by the duality of flow line vs. job shop. This theoretical review would give the further wealthy development to the gap-wider society of artifacts in the future, and point out that the shared society too could be balanced on the base of the harmonic mean under Industrial-financial capitalism.

Highlights

  • Since 18-century, the modern economic growth in industry was seen and found first in the European countries by S

  • This paper presents the progressive discipline for the contradiction on modern economic growth in the lot-sizing scheme

  • The Nash’s condition for the case of Q < 1 could be obtained by the duality of flow line vs. job shop. This theoretical review would give the further wealthy development to the gap-wider society of artifacts in the future, and point out that the shared society too could be balanced on the base of the harmonic mean under Industrial-financial capitalism

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Summary

Introduction

Since 18-century, the modern economic growth in industry was seen and found first in the European countries by S. Together with the smaller division of labor and larger lot in manufacturing, both were practically effective to the increase of wealth in advanced nations [3]. This paper presents a theory on modern economic growth from Mass production (larger Q), Middle class (EOQ) and Gap-wider stage (smaller Q), toward Sharing stage ( 0 < Q < 1 ). The recent economic society promotes the smaller lot-size by the more speed of demand-to-supply, but the wealth of nations is more and more increasing [3]. The strategy for forthcoming world could be developed from the gap-wider toward win-win (trade-off) balancing society under sharing economy on the base of harmonic mean (balancing in rates)

Preliminary Introduction
Flow System and Optimality of OE Type
Nash’s Equilibrium in Middle Society
Short Proof for Proposition 1
Verification of Lot-Size Formulation
Conclusions and Remarks
Full Text
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