Irreducibility of joint inventory positions in an assemble-to-order system under (r, nQ) policies

Naval Research Logistics

Volumn 59, Issue 1, 2012, Pages 18-25

  Feng, Jiejian ^a   Liu, Liming ^b   Wan, Yat Wah ^c  

^a SAINT MARY S UNIVERSITY   (Canada)

^b LINGNAN UNIVERSITY   (Hong Kong)

^c NATIONAL DONG HWA UNIVERSITY   (Taiwan)

Author keywords

assemble to order; diophantine equations; irreducibility; necessary and sufficient condition; order based backorders; unit skeleton condition

Indexed keywords

ASSEMBLE-TO-ORDER; BACKORDERS; DIOPHANTINE EQUATION; IRREDUCIBILITY; SUFFICIENT CONDITIONS; UNIT-SKELETON CONDITION;

MATHEMATICAL TECHNIQUES;

MARKOV PROCESSES;

EID: 84855642500     PISSN: 0894069X     EISSN: 15206750     Source Type: Journal    
DOI: 10.1002/nav.20486     Document Type: Article

References (8)

1. A. Caplin, The variability of aggregate demand with (S, s) inventory policies, Econometrica 53 (1985), 1395-1409.
2. Y. H. Chen, Y. Y. Feng, D. Simchi-Levi, Uniform distribution of inventory positions in two-echelon periodic review systems with batch-ordering policies and interdependent demands, Eur J Oper Res 140 (2002), 648-654. (Pubitemid 34466902)
3. T. W. J. Chou, G. E. Collins, Algorithms for the solution of systems of linear diophantine equations, SIAM J Comput 11 (1982), 687-708.
4. J. J. Feng, L. Liu, Y.-W. Wan, Order-based backorders in multi-item inventory systems, Oper Res Lett 38 (2010), 27-32.
5. T. Koshy, Elementary number theory with applications, A Harcourt Science and Technology Company, San Diego, 2002.
6. J.-S. Song, A note on assemble-to-order systems with batch ordering, Manag Sci 46 (2000), 739-743.
7. J.-S. Song, Order-based backorders and their implications in multi-item inventory systems, Manag Sci 48 (2002), 499-516. (Pubitemid 34575038)
8. K. Thulasiraman, M. N. S. Swamy, Graphs: Theory and algorithms, Wiley, New York, 1992.