TWO-COMMODITY PERISHABLE INVENTORY SYSTEM WITH PARTIAL BACKLOG DEMANDS

被引:1
|
作者
Anbazhagan, N. [1 ]
Sivakumar, B. [2 ]
Amutha, S. [3 ]
Suganya, S. [4 ]
机构
[1] Alagappa Univ, Dept Math, Karaikkudi, India
[2] Madurai Kamaraj Univ, Dept Appl Math & Stat, Madurai, India
[3] Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi, India
[4] Alagappa Univ, Dept Math, Karaikkudi, India
来源
3C EMPRESA | 2022年 / 11卷 / 02期
关键词
Two-commodity Inventory system; Substitutable items; Joint ordering Policy; Markov arrival demands; Partial backlog;
D O I
10.17993/3cemp.2022.110250.33-48
中图分类号
F [经济];
学科分类号
02 ;
摘要
This article examines a two-commodity continuous review perishable inventory system. The demands are arrived at for each product by independent Markovian arrival processes (MAP). Lifetimes follow an exponential distribution. The commodities are assumed to be substitutable. If both commodities have reached zero, demand is backlogged up to predetermined levels. This article's novelty has been a local purchase, which is made to clear the backlog instantaneously when demand reaches a predetermined level. In the steady-state, the joint probability distribution of inventory levels of both commodities is obtained. Several metrics of system performance in steady-state are derived and also provided as numerical examples to explain the optimum values of the system's parameters.
引用
收藏
页码:33 / 48
页数:16
相关论文
共 50 条
  • [41] SIMULATING BACKLOG AND LOAD BUILDING PROCESSES IN A TWO-ECHELON INVENTORY SYSTEM
    Rossetti, Manuel D.
    Xiang, Yisha
    PROCEEDINGS OF THE 2010 WINTER SIMULATION CONFERENCE, 2010, : 1833 - 1845
  • [42] Inventory management and delivery of perishable products with stochastic demands and risks consideration
    Violi, Antonio
    De Maio, Annarita
    Fattoruso, Gerarda
    5TH INTERNATIONAL CONFERENCE ON INDUSTRY 4.0 AND SMART MANUFACTURING, ISM 2023, 2024, 232 : 2941 - 2949
  • [43] A two-commodity multistate flow network with capacity weight varying with edges, nodes and types of commodity
    Lin, Yi-Kuei
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (01) : 142 - 151
  • [44] A polynomial time approximation algorithm for the two-commodity splittable flow problem
    Eisenschmidt, Elke
    Haus, Utz-Uwe
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2013, 77 (03) : 381 - 391
  • [45] Analysis of two commodity markovian inventory system with lead time
    Anbazhagan N.
    Arivarignan G.
    Korean Journal of Computational and Applied Mathematics, 2001, 8 (2): : 427 - 438
  • [46] A continuous review perishable system with renewal demands
    Kalpakam, S
    Shanthi, S
    ANNALS OF OPERATIONS RESEARCH, 2006, 143 (01) : 211 - 225
  • [47] Analysis of two commodity Markovian inventory system with lead time
    Anbazhagan, N.
    Arivarignan, G.
    Korean Journal of Computational and Applied Mathematics, 2001, 8 (02): : 427 - 438
  • [48] Using minimal cuts to study the system capacity for a stochastic-flow network in two-commodity case
    Lin, YK
    COMPUTERS & OPERATIONS RESEARCH, 2003, 30 (11) : 1595 - 1607
  • [49] A continuous review perishable system with renewal demands
    S. Kalpakam
    S. Shanthi
    Annals of Operations Research, 2006, 143 : 211 - 225
  • [50] Optimal inventory system with two backlog costs in response to a discount offer: corrections and complements
    Leopoldo Eduardo Cárdenas-Barrón
    Kun-Jen Chung
    Nima Kazemi
    Ehsan Shekarian
    Operational Research, 2018, 18 : 97 - 104