zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Optimal inventory policies for an economic order quantity model with decreasing cost functions. (English) Zbl 1112.90302
Summary: Three total cost minimization EOQ based inventory problems are modeled and analyzed using geometric programming (GP) techniques. Through GP, optimal solutions for these models are found and sensitivity analysis is performed to investigate the effects of percentage changes in the primal objective function coefficients. The effects on the changes in the optimal order quantity and total cost when different parameters of the problems are changed is also investigated. In addition, a comparative analysis between the total cost minimization models and the basic EOQ model is conducted. By investigating the error in the optimal order quantity and total cost of these models, several interesting economic implications and managerial insights can be observed.

90B05Inventory, storage, reservoirs
90B50Management decision making, including multiple objectives
Full Text: DOI
[1] Arcelus, F. J.; Srinivasan, G.: A ROI-maximizing EOQ model under variable demand and markup rates. Engineering costs and production economics 9, 113-117 (1985)
[2] Arcelus, F. J.; Srinivasan, G.: The sensitivity of optimal inventory policies to model assumptions and parameters. Engineering costs and production economics 15, 291-298 (1988)
[3] Beightler, C. S.; Phillips, D. T.: Applied geometric programming. (1976) · Zbl 0344.90034
[4] Cheng, T. C. E.: An economic production quantity model with flexibility and reliability considerations. European journal of operational research 39, 174-179 (1989) · Zbl 0672.90039
[5] Cheng, T. C. E.: An economic order quantity model with demand-dependent unit cost. European journal of operational research 40, 252-256 (1989) · Zbl 0665.90017
[6] Cheng, T. C. E.: An economic order quantity model with demand-dependent unit production cost and imperfect production processes. IIE transactions 23, 23-28 (1991)
[7] Dinkel, J. J.; Kochenberger, G. A.: A note on substitution effects in geometric programming. Management science 20, 1141-1143 (1974) · Zbl 0303.90038
[8] Duffin, R. J.; Peterson, E. L.; Zener, C.: Geometric programming----theory and application. (1976) · Zbl 0171.17601
[9] Hillier, S. H.; Lieberman, G. J.: Introduction to operations research. (1990) · Zbl 0155.28202
[10] Hildebrand, F. B.: Advanced calculus for applications. (1976) · Zbl 0333.00003
[11] Jung, H.; Klein, C. M.: Optimal inventory policies under decreasing cost functions via geometric programming. European journal of operational research 132, No. 3, 628-642 (2001) · Zbl 1024.90004
[12] Kochenberger, G. A.: Inventory models: optimization by geometric programming. Decision sciences 2, 193-205 (1971)
[13] Ladany, S.; Sternlieb, A.: The interaction of economic ordering quantities and marketing policies. AIIE transactions 6, 35-40 (1974)
[14] Lee, W. J.: Determining order quantity and selling price by geometric programming: optimal solution, bounds, and sensitivity. Decision sciences 24, 76-87 (1993)
[15] Lee, W. J.: Optimal order quantities and prices with storage space and inventory investment limitations. Computers and industrial engineering 26, 481-488 (1994)
[16] Lee, W. J.; Kim, D. S.: Optimal and heuristic decision strategies for integrated production and marketing planning. Decision sciences 24, 1203-1213 (1993)
[17] Lee, W. J.; Kim, D. S.; Cabot, A. V.: Optimal demand rate, lot sizing, and process reliability improvement decisions. IIE transactions 28, 941-952 (1996)
[18] Worrall, B. M.; Hall, M. A.: The analysis of an inventory control model using posynomial geometric programming. International journal of production research 20, 657-667 (1982)