J Shanghai Jiaotong Univ Sci

Journal of Shanghai Jiaotong University(Science) >

2015 , Vol. 20 >Issue 6: 752 - 757

DOI: https://doi.org/10.1007/s12204-015-1686-8

Research article

Optimal Last Stock of Substitutive Service Parts

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  • 1 School of Marxism, Shanghai Jiaotong University, Shanghai 200052, China
    2 School of Mathematical Science, Nanjing Normal University, Nanjing 210023, China

Received date: 2014-04-08

  Online published: 2020-10-09

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Abstract

This paper focuses on the last stock problem of substitutive service parts, which is a hot problem in practice. Considering that a firm faces two types of service parts with a certain substitution coefficient, we study the optimization problem of minimizing the total expected cost. Using the non-linear programming theory and method, we find the optimal preserved quantities for the optimization problem. The relation between the product substitution characteristic and the total cost of service parts is analyzed. And an example is given to show the application of our model.

Key words： laterally loaded piles; hydraulic head; land deformation; pumping-recovery; $m$-method; back analysis; horizontal displacement; outage performance; magnetic resonance imaging (MRI); sparse representation; non-convex; generalized thresholding; amplify-and-forward (AF); beamforming; channel state information (CSI); power control; cognitive radio; monotone optimization; heterogeneous circumstance; Stackelberg game; fairness; supply chain coordination; dictionary updating; alternating direction method; two-level Bregman method with dictionary updating (TBMDU); price; circular excavation; heterogeneity; substitution; service parts; last stock; admission control scheme; handover service; high-speed train communication; S-clay1 model; undrained compression test; functionally graded materials; low-velocity water entry; cylinder structure; cylindrical sandwich panel; rectangular sandwich plate; simply supported; free vibration; resting-state brain function network; supercavitating; ventilated; dynamic mesh; pitching; model network; connection distance minimization; topological property; anatomical distance; wall effect; underwater glider; nonlinear control; adaptive backstepping; Lyapunov function; cylinder radius; initial velocity; entry angle; soft soil; strain-dependent modulus; common neighbor; video capsule endoscopy (VCE); frame rate; working hours; in vivo experiment

Cite this article

Lin QUAN, Qi-cai LI . Optimal Last Stock of Substitutive Service Parts[J]. Journal of Shanghai Jiaotong University(Science), 2015 , 20(6) : 752 -757 . DOI: 10.1007/s12204-015-1686-8

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